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Polymeric engine mounts have been widely used as vibration isolators in vehicles. In general, understanding ageing-dependent stiffness is important for life cycle design. In this paper, a new experimental procedure is developed to study the ageing mechanisms of service-aged engine mounts using digital image correlation measurements. The present contribution demonstrates that the leading factors for ageing-dependent stiffness are, not only the elastic modulus variation, but also the creep deformation and micro-structural change. The results show that pure thermal effects, such as that used to simulate ageing, leads to a uniform change in the rubber component inside the mount. This is not the same as the service-aged mount behaviour. In addition, the cross-sectional creep deformation dominates the increase in rigidity. Finally, the results suggest that micro-structural change may also lead to the stiffness variation of the mounts with high working mileage.
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* Corresponding author:
E-mail address: tang.n1988@gmail.com, n.tang@sheffield.ac.uk.
Ageing of a polymeric engine mount investigated using digital image
correlation
Ning Tanga,*, Payam Soltanib, Christophe Pinnaa, David Wagga, Roly Whearc
aDepartment of Mechanical Engineering, The University of Sheffield, Sheffield, S1 3JD, UK.
bSchool of Mechanical, Aerospace and Automotive Engineering, Coventry University, Coventry, CV1
5FB, UK.
cJaguar Land Rover Ltd, CV35 ORR, UK.
Abstract
Polymeric engine mounts have been widely used as vibration isolators in vehicles. In general,
understanding ageing-dependent stiffness is important for life cycle design. In this paper, a new
experimental procedure is developed to study the ageing mechanisms of service-aged engine mounts
using digital image correlation measurements. The present contribution demonstrates that the leading
factors for ageing-dependent stiffness are, not only the elastic modulus variation, but also the creep
deformation and micro-structural change. The results show that pure thermal effects, such as that used to
simulate ageing, leads to a uniform change in the rubber component inside the mount. This is not the
same as the service-aged mount behaviour. In addition, the cross-sectional creep deformation dominates
the increase in rigidity. Finally, the results suggest that micro-structural change may also lead to the
stiffness variation of the mounts with high working mileage.
Key words: elastomer ageing, engine mount, digital image correlation
1. Introduction
Elastomeric engine mounts have been used for many years as isolators for internal combustion engines.
Their dynamic performance changes with operation time. Although this variation may not shift the
resonance frequencies of the isolator that significantly, their change in performance does lead to more
vibration energy being transferred into the vehicle. As a result, this variation is harmful to the overall
vehicle and to the ride comfort, and therefore is of interest to the designer.
Several numerical and experimental prediction methods for engine mounts have been developed over
the past decade [1-4]. Most of these studies pointed out that nonlinear stiffness should ideally be
predictable, in order to design the dynamic characteristics. Understanding the factors that influence the
elasticity of the engine mount becomes, therefore, essential, especially for a service-aged engine mount.
Thermal ageing is one of the main ageing mechanisms for an engine mount [5]. Thermal ageing is
caused by the combination of oxidation, weakening of the reinforcing filler network and chemical
degradation of the polymer network. Chemical degradation occurs through chain scissions and cross-
linking, which alters the elastomer's stiffness. The rate at which these reactions occurs is dependent on
the ambient conditions; temperature and humidity [6,7]. Generally, chain scission will soften the
elastomers as the backbone covalent bonds rupture [8], while, cross-linking stiffens the aged elastomer
due to the creation of bonds between two adjacent polymer chains [7]. During ageing both these chemical
degradation mechanisms occur although one process typically dominates. This depends on the chemical
compounds of the material, especially the additives of the rubber [9].
Cyclic loading is one of the other important factors when studying the ageing behaviour for engine
mounts. The influences of harmonic excitation have been studied in [10,11]. Under dynamic loading, the
breakage of a carbon black filler network is an additional significant factor for creating stiffness variation.
However, no unique correlation between ageing time and stiffness has yet been found for different types
of elastomers [5,12-15].
Most research focused on the ageing of the elastomer in an engine mount is carried out under laboratory
conditions. The test specimens are normally prepared based on the ISO:23529 standard [16]. As a result,
the sample size is much smaller than the rubber used in a real engine mount. The rate of heat flow inside
the elastomer is, therefore, much higher for a laboratory sample. This difference in thermal conditions
introduces significant uncertainties into the estimation of stiffness variations. Furthermore, the engine
mount experiences cyclic loadings closer to random frequencies and magnitudes in practice. As a result,
the imposed dynamic force profiles under laboratory conditions differ from those in a practical service-
aged engine mount, which causes further difficulty in estimating the stiffness variation. Therefore, an
investigation into the mechanics of stiffness variation for a real engine mount is needed.
This paper investigates the ageing mechanisms including, geometric and micro-structural variation,
for a service-aged engine mount using digital image correlation (DIC) observations. A new experimental
procedure has been developed to measure the cross-sectional deformation of the elastomer from both
new and aged engine mounts with the characterisation of full-field strain distributions using DIC. This
paper starts with a correlation of the physical ageing indicators such as mileage of a vehicle and unladen
height of the main spring to the dynamic characteristic of interest, namely stiffness. The second part of
this study focuses on how the creep deformation and micro-structural change influence the overall
stiffness in a service-aged engine mount. Finally, a feasibility study was conducted on whether a
laboratory accelerated thermal ageing test can simulate the micro-structural and geometric variations of
a service-aged mount.
2. Material and methods
2.1. Investigated engine mounts
The engine mounts studied in this research were commercial products fitted to a particular Land Rover
model. A representative sample is shown in Figure 1. For the purpose of the ageing studies undertaken,
some samples were removed from vehicles which had been used in high temperature environments.
Figure 1: Hydraulic engine mount and its components.
The engine mount studied in this paper is made from four components: the main spring, the inertia
track and decoupler, the viscous liquid chamber and a steel case. The main spring contributes to the
elasticity of the entire mount. This spring is divided into three components: the tip, the rib and the
elastomeric element. The main load-carrying region of an engine mount is located between the tip and
the rib, as shown in Figure 1(b). Since the load-carrying region is axisymmetric, test results on half of
the cross-section are assumed to represent the overall performance in the following analysis. The
axisymmetric axis here is defined as the central axis of the engine mount.
In this study, four different mounts with different in-service ageing conditions were investigated. The
basic properties of these mounts are listed in Table 1.
Table 1: Basic properties of engine mount samples
sample
aged time, days
service mileage, km
unladen gap, mm
1
0
0
11.5
2
51
0
11
3
unknown
129,996
5.4
4
unknown
70,600
3.1
The unladen gap refers to the maximum distance that each engine mount can be compressed. Sample
1 is a new engine mount used as a reference mount. Sample 2 is a mount thermally aged under laboratory
conditions by exposure in a thermal chamber to a temperature of 100 oC for 51 days. This sample was
used to separate the influences of thermal effects from practical service ageing. Samples 3 and 4 are two
service-aged engine mounts that were disassembled from real vehicles. The operating temperature for
the engines in these vehicles was in a range from 80 oC to 120 oC. In a real vehicle, service mileage rather
than time-in-service is selected as an indicator for the effective working time. The reasons are as follows;
time-in-service represents the overall vehicle life, regardless of whether the vehicle is in operation.
During engine operation the thermal effects are at their highest. This accelerates the rate at which the
elastomer ages significantly. Therefore, the real operational time of the vehicle is proportional to the
travelled distance (or mileage) and is, therefore, a more realistic and important ageing indicator. As a
result, service mileage can be treated as a physical parameter that is easy to measure and can represent
real operation time.
2.2. Static compression tests
Static compression tests were carried out using a uni-axial test machine to obtain the engine mounts’
load-deflection data in the axial direction. A Tinius-Olsen machine was used for this work which was
comprised of a self-contained electric power unit, a load frame with a cross-head mounted actuator and
a closed-loop controller. A 25 kN-capacity load cell was attached between the upper grip and the
compressing plate. In operation, the position of the upper grip was measured using a linear voltage
differential transformer.
Tests were carried out by applying a static compression range between 0 to 4 mm at a loading speed
of 5 mm/min. A preload of 3 N was applied on the engine mount to ascertain the initial contact. The local
tangent stiffness was obtained using the differential of the load-deflection relationship. The linear
stiffness here is defined as the average of the local tangent stiffness values for the selected static
compression range.
2.3. Static compression tests on main spring with digital image correlation
The main spring of the engine mount was cut into two parts in order to access the internal strain
distributions in the cross-sections. Since the main spring is comprised of both polymeric and metal
components, uniform flatness and avoidance of excessive deformation during the cutting process are of
great importance. The detailed procedures for sample preparations were as follows;
The viscous liquid in the full mount was first drained. A small hole with a diameter of 5 mm was
drilled in the bottom of the mount, and the mount was allowed to drain for 24 hours.
The outer case was cut using a hacksaw. Following this, the engine mount was disassembled, and the
main spring was extracted. Dry, clean sand was then used to absorb the residual damping oil on the
surface of the main spring.
The main spring was then cut in half using a bandsaw, based on the recommendations in ISO:23539
standard [16]. The cutting speed was set to 20 mm/min to avoid large deformation and overheating
for the elastomeric components during the cutting process.
The cross-section of the main spring, which is 1 mm offset to the central axis of the engine mount, was
used to observe the internal strain distribution. The main reason for this choice is as follows: the stiffness
of an engine mount is dominated by its main spring component. Since the load-carrying element in this
spring is axisymmetric, any axisymmetric cross-sectional surface can be used to represent the strain
distribution of the entire engine mount. The threaded hole in the tip of the main spring makes it
convenient to connect the samples to the test machine mechanically to enable the hole to still be used
after cutting. Therefore, a 1 mm offset was selected when preparing the test samples to maintain this
connection method. An alternative connection method is to bond the half main spring sample on the
compression plate using a HBM X60 ceramic adhesive. In this case, the offset-cutting arrangement would
be to ensure sufficient bonding surface.
A layer of white paint was sprayed onto this cross-section followed by a layer of black speckles for
DIC measurements. In this analysis, two digital Pixels Pike 170 cameras with a resolution of over five
million pixels were set up at approximately 75 o to the given surface of engine mount, as shown in
Figure 2.
Figure 2: Static compression test rig with digital image correlation
The choice of a two camera set-up is based on a preliminary study of out-of-plane displacement
measurements recorded for a service-aged mount subjected to a static compression between 0 to 4 mm -
see Figure 3. Out-of-plane displacements result from the bulging, under compression, of the free surface
generated after the main spring was cut in half. Since the main spring has a significant out-of-plane
deformation, a set-up with two cameras is needed for accurate calculation of in-plane strain values. In
this study, the VIC-3D correlation software by Correlated Solutions Inc. was used to calculate the
displacement vectors, and hence the strain distribution on the cross-sections. In order to evaluate the
accuracy of the maximum principal strain, several images were captured without applying static
compression. A correlation algorithm [17] was then used to identify the noise for maximum principal
strain measurements. Based on these measurements, the strain accuracy was found to be approximately
163e-6 .
Figure 3: Typical maximum out-of-plane displacements for a service-aged engine mount
3. Results
3.1. Stiffness of the entire engine mount
When engine mounts age in a real vehicle, both thermal and dynamic loading have a great influence
on stiffness variations. Thermal ageing has been shown to be linked with ageing time and operating
temperature [5]. Dynamic loading over a certain period of time on an engine mount may lead to
permanent creep deformation. In a service-aged engine mount, this deformation can be represented by
the initial gaps (see Table 1). The load-deflection relationship for the engine mounts under four different
ageing conditions are illustrated in Figure 4.
Figure 4: Load-deflection data for the selected engine mounts
Close examination on the relationships between physical properties and linear stiffness of the engine
mounts for different conditions are shown in Table 2. Due to the limited number of samples tested here
there may be a correlation between working mileage and stiffness but more tests would be required to
know for certain.
Table 2: Linear stiffness for the engine mounts at different working conditions
Sample
linear stiffness, N/mm
1
297
2
369
3
371
4
432
3.2. Strain distributions of thermally-aged engine mounts
It has been widely accepted that thermal ageing of the elastomer influences the elastic modulus and,
therefore, the stiffness of the engine mount [7]. However, limited research has been conducted on the
influences of thermal effects on the geometric and micro-structural change inside the main spring of
engine mounts. Comparison of strain distributions between the new and the thermally-aged engine mount
are shown in Figure 5, where it can be seen that the magnitude and distributions of the Lagrange
maximum principal strain remain similar between new and thermally-aged mounts, regardless of the
amount of the applied static compression.
Figure 5: Maximum principal strain distributions in the main spring for both new and thermally-aged
engine mounts when subjected to different amounts of static compressions
3.3. Stiffness variations of service-aged engine mount main springs
3.3.1. Static compression tests
As explained in Section 2.3, the main spring was cut into two pieces in order to carry out the DIC
measurements. Static compression tests on the half main spring were also carried out for engine mounts
with three different working conditions (Samples 1, 3 and 4). Results are shown in Figure 6.
Figure 6: Load-deflection data for the main springs with different service mileages
Compared to a new engine mount, the stiffness of service-aged mounts is significantly higher. Detailed
tangent stiffness values at selected static compressions of the cut main springs are given in Table 3.
Table 3: Tangent stiffness of the cut main springs at selected static compressions
Static compression, mm
0.5
1
1.5
2
2.5
3
Stiffness, N/mm
Sample 1
94
106
100
100
100
95
Sample 3
145
152
171
159
157
170
Sample 4
129
125
150
150
150
175
Table 3 quantifies how significant the stiffening is with static compressions for service-aged samples.
3.3.2. Geometric variations
Significant differences of the initial gap can be observed for engine mounts under different ageing
conditions - see Table 1. In order to investigate the cause of this difference, the DIC measurement was
used to identify the original shape of the main springs under different ageing conditions. A small static
compression of 0.08 mm was applied on the tip of the main spring to ensure the quality of this correlation.
Figure 7: Comparisons of the main spring geometries for the engine mounts in three different ageing
conditions
Results are illustrated in Figure 7, where it can be seen that the main springs in service-aged mounts
have experienced significant permanent creep deformation and, therefore, have much lower unladen
heights. No significant correlations between the working mileage and deformation level can be found for
the same type of engine mount due to the limited sample range. Additionally, the largest deformation of
the service-aged samples always appears in the underside of the tip.
3.3.3. Strain distributions for service aged mounts
DIC measurements were conducted on service-aged engine mounts in order to identify the ageing
mechanisms responsible for these stiffness variations.
Figure 8: Cross-sectional maximum principal strain distribution for main springs at different ageing
conditions
It can be seen from Figure 8 that the area with high principal strain values shifts towards the tips of
the main spring for the two aged mounts. For the engine mount with the highest mileage (sample 3),
additional high principal strain regions appear in the topside of the rib.
4. Discussion
This section discusses the ageing mechanics for a service-aged engine mount first. Following this, the
feasibility of a laboratory accelerated thermal ageing test to represent the real ageing behaviour of the
engine mount is investigated.
4.1. Ageing mechanics of a real engine mount
Influences of thermal effects on an engine mount have been investigated widely [5,11,14]. Figure 5
also indicates that the DIC measurement has a limited capability to identify these changes. Therefore,
this is not the focus of this paper. Instead, this paper considers the influences of geometric and micro-
structural variations on the stiffness due to service ageing.
4.1.1. Developments of contact regions
Generally, new engine mounts exhibit a lower stiffness and more linear behaviour than the service-
aged samples. One possible explanation for the static compression-dependent stiffening for service-aged
samples observed during testing is geometric nonlinearity, specifically via the development of contact
regions during service-ageing - see Figure 9. Stiffening is expected to increase as a result because more
regions inside engine mounts carry loads transferred from the engine.
Figure 9: Development of contact regions for service-aged engine mounts
A comparison of the maximum principal strain distributions between a new mount with large
deformation and the corresponding service-aged mount is shown in Figure 10. Note that the final height
of both cut main springs is approximately 72 mm.
Figure 10: Maximum principal strain distribution at the same height of 72 mm: (a) Sample 1 (New)
under 11 mm of static compression deflection and (b) Sample 3 (service-aged with mileage of 129,996
km) under 1 mm of static compression deflection
The high strain region for the new aged mount is located in the top side of the ribs in the main spring
even when the final height is similar to the service-aged ones. Meanwhile, this region shifts towards the
tips for a service-aged mount. This result reiterates the development of unexpected contacts due to a
significant visible change of the shape of the mounts after a long time in service.
4.1.2. Creep deformation
In service-aged samples, the main springs experience significant permanent creep deformation because
dynamic loading contributes to the ageing of the engine mount in practical working conditions. Although
this creep phenomenon would not affect the elastic modulus of the material significantly [18], it can
change the shape of the load-carrying region and, therefore, the stiffness of the engine mount.
The chemical creep deformed shape of the cross-section differs from that obtained purely from high
static compression. This is illustrated in Figure 11. where the geometry of an aged engine mount after
129,996 km is compared to the shape of the new engine mount after application of a large static
compression to ensure the two engine mounts have the same final height.
Figure 11: Comparisons of the main spring geometries: static v.s. creep deformation
Note that the deformed edge of a new engine mount is not identified in the vertical position higher
than 73 mm due to the quality of speckle painting. It can be seen from Figure 11 that the creep
deformation was developed in the underside of the tip. Meanwhile, the main load-carrying region for a
pure static compression is in the top side of the ribs. As a result, the structural integrity for a real service-
aged mount differs from the new one with same unladen height.
4.1.3. Micro-structural change
For the engine mount with the highest mileage, additional high principal strain regions appear - see
Figure 10. This feature appears to link with micro-structural change and could potentially explain the
drop in stiffness recorded for this mount in Figure 6. The underlying mechanics may be as follows. The
dynamic loading will couple with the resonance of the load-carrying region. As a result, high dynamic
strain will be achieved in this region. With the increase in mileage, the probability of damage appearing
in the main spring increases. For a very high mileage, this could eventually lead to a possible stiffness
decrease. In summary, creep deformation as well as thermal effects makes the material become
inhomogeneous in the main spring of a service aged mount.
4.2. Feasibility study of laboratory ageing tests
The previous section demonstrates the importance of the geometric and micro-structural variations on
the stiffness of a service-aged mount. However, this behaviour was always studied using a laboratory
thermal ageing test. The underlying assumption is that temperature-dependent stiffness variations for the
elastomers inside the mount occupies a central position for service ageing. From the observations in this
study, it can be interpreted that pure thermal effects would change the elastic modulus of the elastomers
inside the engine mount uniformly. Comparisons of the maximum principal strain pattern between Figure
5 and 8 indicate accelerated ageing tests with pure thermal effects do not simulate correctly real ageing
conditions experienced by service-aged engine mounts.
4.3. Measurement limitations
Due to practical difficulty in supplying a large number of engine mounts, especially from used
vehicles, results reported in this work are restricted to four samples representing four different ageing
conditions. A larger number of tests would be needed to confirm the trend found in this study, especially
for engine mounts with high mileage. Uncertainties in measurements are also difficult to quantify through
repeated tests as it is almost impossible to retrieved engine mounts with exactly the same ageing
conditions. All the aged mounts were indeed disassembled from real vehicles with ageing conditions
likely to differ in terms of time in service and environment (e.g. temperature and humidity). However,
the DIC approach developed in this study has demonstrated that strain field measurements carried out
for a limited number of retrieved engine mounts can provide new insight into their ageing mechanisms.
5. Conclusions
A new experimental procedure has been successfully developed to study ageing of engine mounts
under real and practical conditions by analysing the evolution of geometry of the elastomeric main spring
and its internal strain distribution. The DIC observations have provided a new insight into identifying the
ageing mechanics of a service-aged engine mount.
Specifically, the laboratory tests of accelerated thermal ageing samples indicate that the material
ageing for the main spring is uniform and homogeneous and, therefore, can be represented using a
nonlinear elastic modulus relationship. The DIC observations demonstrate that the strain distribution
varies with ageing mileage. This new result suggests that the stiffening is caused non-uniformly. A
secondary factor that was observed and thought to contribute, at least in part, was the development of
additional contact areas.
Meanwhile, the origin of the softening of the engine mount for a very high mileage is still not clear.
However, the experimental observations in the paper suggest that it may be caused by a combined effect
of two material ageing phenomena: creep deformation of the load-carrying region and micro-structural
change. When the service mileage of an engine mount is high, the internal strain distribution indicates
that the number of high-strain regions increase. This observation indicates that micro-structural change
is highly likely to have occurred, in which case it would contribute to a reduction in the overall stiffness
of the mount.
To conclude, the results show that chemical creep deformation and the inhomogeneous elasticity of
the main spring are of great importance in designing the overall life cycle for an engine mount. The
classic thermal accelerated ageing test method has been shown to fail in predicting these features. As a
result, it is suggested that, a high-temperature fatigue testing method is needed to simulate the service
ageing. This is an area for future work.
Acknowledgements
The authors would like to acknowledge the support by Jaguar Land Rover and the EPSRC via Grant
EP/L025752/1 as part of the jointly funded Programme for Simulation Innovation (PSi).
Data availability
The raw and processed data required to reproduce these findings cannot be shared at this time due to
technical limitations related to file size for DIC data sets. Data is available upon request.
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Figure 1: Hydraulic engine mount and its components.
Figure 2: Static compression test rig with digital image correlation
upper grip
lower grip
load cell
compressing plate
sample for
DIC measurements
high resolution
camera
Figure 3: Typical maximum out-of-plane displacements for a service-aged engine mount
Figure 4: Load-deflection data for the selected engine mounts
Figure 5: Maximum principal strain distributions in the main spring for both new and thermally-aged
engine mounts when subjected to different amounts of static compressions
0.058
0.043
0.028
0.014
-0.001
static compression
1mm 2mm 3mm 4mm
thermal agednew
maximum principal strain
Figure 6: Load-deflection data for the main springs with different service mileages
Figure 7: Comparisons of the main spring geometries for the engine mounts in three different ageing
conditions
Figure 8: Cross-sectional maximum principal strain distribution for main springs at different ageing
conditions
0.013
0.0087
0.0046
-0.00025
0.042
0.027
0.013
-0.004
new 129996 km
70600 km
static compression
1mm3mm
maximum principal strain
maximum principal strain
Figure 9: Development of contact regions for service-aged engine mounts
Figure 10: Maximum principal strain distribution at the same height of 72 mm: (a) Sample 1 (New)
under 11 mm of static compression deflection and (b) Sample 3 (service-aged with mileage of 129,996
km) under 1 mm of static compression deflection
0.199
0.136
0.073
-0.002
0.011
0.0072
0.0037
-0.0006
129996 km
maximum principal strain
maximum principal strain
high strain region
high strain region
new EM
Figure 11: Comparisons of the main spring geometries: static v.s. creep deformation
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This study utilizes digital image correlation (DIC) technology to study the open-hole tensile creep behavior of hole drilled self-reinforced polyethylene terephthalate (srPET) composites and compare it with results obtained by conventional mechanical tensile systems (MTS). The short-term tensile creep behavior obtained by DIC and MTS at elevated temperatures was analyzed using Findley's viscoelastic models. For srPET composites without a hole drilled, the short-term creep results obtained by MTS and DIC are similar. However, for hole-drilled srPET composites, DIC determined the strain field including the maximum strain (DIC-M) at the edge of the hole, while MTS only obtained the average strain, which does not represent the maximum strain caused by the strain concentration, resulting in a lower strain estimate. The long-term creep behavior of srPET composites was described successfully by an Arrhenius-type time–temperature superposition principle (TTSP). The DIC creep master curve increased exponentially with time, while the MTS curve remained linear. The master curve obtained by MTS underestimates the creep strain and fails to predict the failure time and thus only applicable to samples without holes, but not to hole-drilled samples or materials with local stress/strain concentrations. An onset point of 107.2 s was determined from the DIC creep master curve and was regarded as the failure time. The creep strain increased with hole size increased and lead to the failure time decreased. An MR value of 70% may serve as an indication of creep failure for the lifetime prediction of srPET composites.ϖ.
... The same functional properties for the final part compared to the traditional methods of production, low press force, and longer die life were considered as the main advantages of the proposed method. Tang et al. (2018) used the digital image correlation (DIC) method to investigate the aging of a polymeric engine mounting bracket and measure the output parameters. The DIC-based measurement method measured deformations in the cross section of the engine mounting bracket. ...
Article
The engine mounting bracket is one of the most sensitive parts of an automobile that is used to connect the engine to the body of the vehicle. Under operating conditions, it is subjected to static, cyclic, and exceptional loads. Since this part is generally manufactured by the casting method, the casting-induced defects can affect its service life. In this study, an engine mounting bracket was first subjected to an experimental static load test, the results of which showed the absence of defects. The endurance limit was then measured experimentally using the high-cycle fatigue test. According to the results of the staircase-Locati fatigue test, the relative mean resistance load was obtained as 1.24 with a relative scatter of 0.07 which fell in the unsafe operating region of the engine mounting bracket. Therefore, a finite element analysis was conducted to determine the critical regions on the part and modify its geometric shape to improve its performance. The crack onset and growth regions obtained in the fatigue tests agreed well with the critical areas identified in the finite element analysis. After modifying the geometric shape and eliminating production defects, several experimental tests were performed to evaluate the endurance limit. The results showed that an increase of only 0.9% in the mass of the engine mounting bracket, decreased stress concentration up to 37%. The relative mean resistance load was increased up to 1.33 with a relative scatter of 0.06, which provided safe performance in the vehicle operating condition. Finally, the modified bracket passed the dynamic load test without any crack and loosening of the screws during the assembly process.
... The forced vibrations could cause failure due to fatigue of the EM rubber core, limiting the EM lifetime to five or six years at most. It should be noted that the damage caused by the cyclic load on the steel section of the EM parts is minimal [6] and [7]. Under these conditions, a good design of an EM mainly involves the reduction of the displacements transmitted from engine to chassis, the increasing of the lifetime through the reduction of mechanical stresses and the reduction of weight. ...
Article
Full-text available
A rubber engine mount (EM) is a mechanical coupling between the engine and the chassis, and its main function is to diminish, in the chassis, the amplitude of vibrations caused for the engine operation. Such vibrations cause discomfort for vehicle passengers and reduce the EM lifetime. To increase the comfort of vehicle passengers and the lifetime of the EM, this paper presents an EM optimization by means of reducing three main criteria: the EM mass, the displacements transmitted to the chassis, and the mechanical stress in the EM rubber core. For carrying out the EM optimization, the optimum global determination by linking and interchanging kindred evaluators (GODLIKE), assisted by artificial neural networks (ANN) and finite element method (FEM), was used. Because of the optimization process, a reduction greater than 10 % was achieved in the three criteria in comparison with a baseline design. The frequency responses were compared and showed that although the optimization was carried out for the range of 5 Hz to 30 Hz the trend of reduced responses continues beyond this range. These results increased the comfort of vehicle passengers and the lifetime of the EM; in addition, the reduction of mass diminishes its production costs.
Article
Full-text available
Hydraulic engine mounts (EMs) are key elements in an automotive vehicle suspension system that typically experience a change of their designed function during their working lifetime due to progressive material ageing, primarily from the elastomeric component. Ageing of the EM, resulting from severe and continuous mechanical and thermal loads, can have a detrimental impact on the ride and comfort and long-term customer satisfaction. This paper introduces a new practical methodology for simulating the ageing behaviour of EMs resulting from the change in properties of their elastomeric main spring (MS) component. To achieve this, a set of dynamic mechanical thermal analysis (DMTA) tests were conducted on elastomeric coupons taken from a set of EMs with different service and ageing conditions. These experimental results were used to characterise the change in mechanical response of the elastomer and to build up an empirical elastomer ageing model (EAM). Then a finite element (FE) model of the MS was developed that used the EAM, so that the ageing behaviour of the EM could be simulated. The resulting ageing model was verified by using experimental results from a second batch of ex-service EMs. The results show an increasing trend of the vertical static stiffness of the EMs with distance travelled (or age) up to a certain distance (approximately 95000 km). The trend is then reversed and a softening effect is observed. Moreover, the results reveal that both the maximum stiffness value and the distance travelled at the peak stiffness decrease as the temperature increases.
Article
Full-text available
An accelerated aging study on silicone rubber exploring the effects of exposure to a functional oil (polyalkylene glycol) at elevated temperature (195°C) is reported in this paper. Variations in mechanical (tensile, tear, hardness) and thermal (conductivity, specific heat capacity) properties were monitored versus aging time while permanent deformation of the rubber was evaluated through creep and recovery measurements. Morphology and surface chemistry of the aged rubber were also investigated through scanning electron microscopy (SEM) and Fourier transform infrared (FTIR) spectroscopy, respectively. Aging had a significant impact on the mechanical properties with the ultimate tensile strength and elongation at break decreasing from 7.4 MPa and 2250% in unaged samples to 1.5 MPa and 760% in 6-week aged samples, respectively. The tear strength and hardness exhibited an initial increase during the early stages of aging, followed by a decreasing trend. In contrast, the thermal properties did not change significantly and FTIR did not detect any changes in the surface chemistry of the rubber with aging. SEM however, provided evidence of an increase in brittle behavior from the morphology of the fractured surfaces.
Article
This reference guide brings together a wide range of essential data on the effect of long term thermal exposure on plastics and elastomers, enabling engineers to make optimal material choices and design decisions. The data is supported by explanations of how to make use of the data in real-world engineering contexts. High heat environments are common in automotive, oil and gas, household appliances, coatings, space and aeronautics and many more end uses. As a result, thermal stability data are critically important to engineers designing parts particularly that replace metals, work that is common today as they look for ways to reduce weight. The data tables in this book enable engineers and scientists to select the right materials for a given product or application across a wide range of sectors. Several polymer classes are covered, including polyolefins, polyamides, polyesters, elastomers, fluoropolymers, biodegradable plastics and more, saving readers the need to contact suppliers. The book also includes introductory sections to provide background on plastic/polymer chemistry and formulation and plastic testing methods, providing the knowledge required to make best use of the data.
Article
Three types of aging were found to exist. The factors determining the types were the temperature and the air-supply conditions irrespective of where the rubber was aged, in the tires or in the laboratory. This means that the aging characteristics of a tire part in the field can be properly predicted if these factors in a tire are taken into account in the laboratory evaluation. In the first type, Type I, the aging yields increased M100 and reduced λb closely following the reference relation, Equation (3), which holds for the rubbers crosslinked with increasing the amount of curatives. This type of aging was found at temperatures below about 80°C, under either oxidative or anaerobic conditions. The extents of the changes in λb and M100 were large under the former conditions and small under the latter. As for the aging in the heavy-duty tires, the sidewall and the belt showed this type, with the changes to considerable extents suggesting an oxidative aging. The oxidative condition for the sidewall is apparent. Although air supply to the belt seems difficult because of the interior position and the massiveness of the tires, the cords of air wicking type occupy a substantial section of the part shortening the permeation path of the inflating air to create an oxidative condition. This type of aging is governed substantially by crosslinking, so that aging yields the same effect on the λbvs.M100 relation as the one obtained in crosslinking with increasing curatives. In the second type, Type II, M100 was either changed little or even reduced, while λb was reduced. This type was observed in an anaerobic aging at temperatures higher than about 90°C. The extents of the changes in this type appeared relatively small. This type of aging in the heavy-duty tires was observed mainly in the belt-edge filler and sporadically in the belt. The belt-edge fillers are placed at the edges above the second and below the third belt layers with the thickness considerably larger than that of the belt rubber between the cords. This makes the air supply condition in the part virtually anaerobic. Furthermore, being in the midsection of the thick crown region and under a severe flexural condition, the part should operate at considerably high temperatures. The sporadic appearance of this type in the belt may be due to the thickness variation of the rubber layers including the underlying parts, together with the severe service conditions causing extensive temperature rise in the particular service. The characteristics of this type are speculated to come from extensive main-chain modifications like cyclic sulfide formations. In the third type, Type III, M100 was increased, and λb was reduced but to an extent larger than expected from the M100 value on the basis of the reference relation. This type was obtained in the oxidative aging at temperatures above about 90°C. This type of aging was not found in the tire parts of the present study. The causes of this type are considered to be from appreciable amounts of chain scission in addition to crosslinking, due to oxidation at high temperatures.
Article
An engine mounting system is the primary vibration isolator of the engine from the chassis. The frequency-dependent stiffness and loss factor present a more accurate representation of a rubber mount as opposed to the frequency-independent damping model. In this article, dynamic optimization of an engine mounting system considering the frequency-dependent stiffness and loss factor is presented. The dynamic properties in all three principal directions are measured on the basis of the optimum locations and orientation angles of the individual engine mounts, which are identified to minimize the mean force transmissibility of the system for a range of frequencies, resulting in a 45% reduction in the vertical transmissibility to the installation base. In comparison, optimization based on a frequency-independent stiffness underestimated the peak transmissibility, and minimization of the vertical force transmissibility created a significant increase in other directions. The optimum parameters are applied to a small utility two-stroke engine. A significant reduction in the transmitted force and engine displacement is demonstrated.
Article
a b s t r a c t The environmental and economic concerns have raised the popularity of biodiesel as a potential replace-ment for conventional fuel. However, the incompatibility of engineering rubber components with biodie-sel affects significantly the performance of the components. Majority of the compatibility studies focus on evaluating the degradation of mechanical properties of the rubbers due to contamination of different types of biodiesel. Nevertheless, the resulting mechanical responses of swollen rubbers, in particularly under cyclic and fatigue loading conditions, are rarely investigated. In engineering applications where elastomeric components are concurrently subjected to fluctuating mechanical loading and contamination of hostile liquids such as biodiesel, it is crucial to investigate the mechanical responses of these compo-nents for durability analysis. In this view, the present study aims to investigate the effect of swelling, due to biodiesel diffusion in the elastomers, on the macroscopic mechanical responses under cyclic loading conditions. Simple stress-free immersion tests are conducted on elastomers and the resulting mechanical responses are evaluated. The focus of the present work is on the effect of biodiesel diffusion on the inelas-tic responses classically observed in elastomers under cyclic loading conditions, i.e. stress-softening, hys-teresis and stress relaxation. The results show that the above inelastic responses decrease significantly when the swelling level increases.
Article
In this work, the thermal degradation of chlorosulfonated polyethylene rubber (CSM) and ethylene propylene diene terpolymer (EPDM) were studied. The thermogravimetry of CSM and EPDM were firstly analyzed, and the loss in elongation and fatigue strength of CSM and EPDM due to thermal and humidity conditions was measured. To evaluate the degradation of these properties, the Arrhenius equation was used to confirm the relationship between temperature and exposure time. From these evaluation methods, the thermal reduction of fatigue strength can be predicted by taking into account the temperature and exposure time. The acceleration in the thermal degradation of elongation and fatigue strength were almost equal. In addition, the activation energy of thermogravimetry agreed well with that of fatigue strength. Next, the viscoelastic behavior of virgin CSM, EPDM and their thermal degradation were measured. The thermal degradations of mechanical loss tangent were evaluated by using the Arrhenius equation to confirm the relationship between the temperature and the exposure time. The acceleration in the thermal degradation of a mechanical loss tangent agreed well with the acceleration in the thermal degradation of elongation and of fatigue strength.
Article
Conventional high-temperature compression stress–relaxation (CSR) experiments (e.g., using a Shawbury–Wallace relaxometer) measure the force periodically at room temperature. In this paper, we first describe modifications that allow the force measurements to be made isothermally and show that such measurements lead to more accurate estimates of sealing force decay. We then use conventional Arrhenius analysis and linear extrapolation of the high-temperature (80–110 °C) CSR results for two commercial butyl o-ring materials (Butyl-A and Butyl-B) to show that Butyl-B is predicted to have approximately three times longer lifetime at room temperature (23 °C). To test the linear extrapolation assumed by the Arrhenius approach, we conducted ultrasensitive oxygen consumption measurements from 110 °C to room temperature for the two butyl materials. The results indicated that linear extrapolation of the high temperature CSR results for Butyl-A was reasonable whereas a significant curvature to a lower activation energy was observed for Butyl-B below 80 °C. Using the oxygen consumption results to extrapolate the CSR results from 80 °C to 23 °C resulted in the conclusion that Butyl-B would actually degrade much faster than Butyl-A at 23 °C, the opposite of the earlier conclusion based solely on extrapolation of the high-temperature CSR results. Since samples of both materials that had aged in the field for ∼20 years at 23 °C were available, it was possible to check the predictions using compression set measurements made on the field materials. The comparisons were in accord with the extrapolated predictions made using the ultrasensitive oxygen consumption measurements, underscoring the power of this extrapolation approach.
Book
Image Correlation for Shape, Motion and Deformation Measurements provides a comprehensive overview of data extraction through image analysis. Readers will find and in-depth look into various single- and multi-camera models (2D-DIC and 3D-DIC), two- and three-dimensional computer vision, and volumetric digital image correlation (VDIC). Fundamentals of accurate image matching are described, along with presentations of both new methods for quantitative error estimates in correlation-based motion measurements, and the effect of out-of-plane motion on 2D measurements. Thorough appendices offer descriptions of continuum mechanics formulations, methods for local surface strain estimation and non-linear optimization, as well as terminology in statistics and probability. With equal treatment of computer vision fundamentals and techniques for practical applications, this volume is both a reference for academic and industry-based researchers and engineers, as well as a valuable companion text for appropriate vision-based educational offerings. © Springer Science+Business Media, LLC 2009. All rights reserved.