Figure 5 - available via license: Creative Commons Attribution 3.0 Unported
Content may be subject to copyright.
Source publication
This study is concerned with modelling and analyses of a vibro-impact system consisting of a crank-slider mechanism and one oscillator attached to it, where the system can be exposed to ideal or non-ideal excitation. The impact occurs during the motion of the oscillator when it hits a base, and the excitation of the driving source is affected by th...
Contexts in source publication
Context 1
... and (12). figure 5 a) is obtained for the run up (the corresponding solutions are plotted as the black circles) and figure 5 b) for close down (the corresponding solutions are plotted as the magenta crosses). These two diagrams are joint together in figure 5 c). ...
Context 2
... can be seen that multiple solutions occur for the vibro-impact system with ideal excitation. The region of multiple solution is grey coloured and shown in figure 5 c). ...
Context 3
... C and D are at the same position in the frequency response diagram because in the diagram no jump is occurring for the xmax value and for the case when Δ = 2í µí±. The (grey) colored region in figure 5 c). is distinguishing a region of multiple solutions. ...
Context 4
... in figure 5, three different regions can again be distinguished in figure 7. The first region covers the case when the motion amplitude increases with the increase of the excitation frequency. In this region, the xmax value is lower than the value of xstop, labelled by the upper horizontal solid green line. ...
Context 5
... fact that there are 'missing' solutions in the frequency-response diagram, or that they cannot be found using numerical simulations as they are non-existing, leads to the conclusion that it is necessary to analyse vibro-impact systems with non-ideal excitation separately. The corresponding run up solutions are shown in figure 7. It is seen that these solutions before and after the gap are moved to the left with respect to those presented in figure 5. It is also noticeable that the gap is smaller for the vibro-impact system. ...
Similar publications
LINK TO VIDEO PRESENTATION: https://youtu.be/q_9AHV4kvDs
Recent work has shown that human activities on the lunar surface have the potential to impact not only surface infrastructure, but may also have long-term repercussions on lunar orbit infrastructure that is directly proportional to the frequency and scale of landings and impacts. Those assets...
Several experts' surveys show that the success indicators of a new product in the market have a strong positive correlation with the performance of project portfolio management in organizations, and the success of the project is strongly related to the maturity of portfolio management. At the same time, it is noted that the existing portfolio manag...
Aliasing is the name of the phenomenon in which signal distortion occurs due to an insufficient data sampling rate and its problem is a common theme in the instrumentation area. The objective was to create a framework for detection and analysis, with the possibility of application in predictive and corrective systems. The methodology makes use of t...
The article deals with the methodological aspects of the formation of a management system for the strategic stability of a transport company. The stages of the methodology formation are considered. A mathematical model for the strategic stability management system analysis has been built. The systematic formalization of strategic stability manageme...
The province of Punjab is considered the breadbasket of Pakistan. This study is aimed to evaluate and hierarchicalize the districts of Punjab based on agricultural indicators. It follows a ranking approach that uses secondary cross-sectional data obtained from Punjab Development Statistics 2016. This study has employed Grey System Theory and used G...
Citations
... The authors believe that method given in this work can be extended for other problems of vibro-impact. The dynamic behavior of vibro-impact systems with non-ideal excitation is also studied in the works [14][15][16]. In [14], the results found for mechanical systems with ideal and non-ideal excitation are compared mutually; the differences between them are pointed out. ...
... The dynamic behavior of vibro-impact systems with non-ideal excitation is also studied in the works [14][15][16]. In [14], the results found for mechanical systems with ideal and non-ideal excitation are compared mutually; the differences between them are pointed out. The region of two coexisting solutions is shown, each of which depends on the initial conditions. ...
In nonlinear dynamical systems, whenchanging control parameters, critical states may occur. To predict these undesirable events, it is necessary to study the system dynamic behavior with changing in different control parameters. Two-body 2-DOF vibro-impact system is under consideration. The huge mass of the upper body, which can break away from the lower one and be in “free flight” for a short time, may be attributed to its specific and is a cause to consider it unusual. Some changes in the parameters of both external loading and the system itself can increase the efficiency of the machine, the mathematical model of which is the considered vibro-impact system. But the same changes lead to appearance of unwanted nonlinear phenomena, such as permanent sustained chaos, transient chaos, crisis-induced intermittency, and coexisting regimes with larger oscillatory amplitudes. The article shows their occurrence, traces the precursors, carries out their diagnostics by both traditional and less common methods. The description of many numerical experiments is accompanied by numerous figures and tables that clearly and convincingly demonstrate the results obtained.
In this manuscript, bifurcation structures and bursting patterns involving grazing phenomena are discussed based on a nonsmooth quasi-zero stiffness vibration isolation system. Within the selected parameter zone, analysis about stability and bifurcations of equilibria belonging to two sub-systems in phase space show that, equilibria of both sub-systems lose their stability through supercritical Hopf bifurcations. Numerical continuation performed on two sub-systems indicates that, the sub-system S⁻ presents bi-stability consisting of small amplitude cycle branch circling around the S-shape equilibrium curve and large amplitude cycle branch, while the sub-system S⁺ presents mono-stability. Meanwhile, both cycle branches are terminated by fold bifurcations of cycle. Furthermore, as the quasi-static external force changes, periodic motions governed by the small amplitude branch of S⁻ and cycle branch of S⁺ may touch the nonsmooth boundary and enter the other side of the boundary, which indicates the grazing bifurcations. By computing the bifurcation diagrams of the overall system, it is shown that grazing bifurcations result in complex distribution of cycle attractors as well as the occurrence of chaos. Based on these, multiple patterns of periodic and aperiodic bursting and the corresponding generation mechanisms are obtained. Besides, it is found that increasing the damping in coupling parts can improve the isolation efficiency.
