Figure 8 - uploaded by Henk Nijmeijer
Content may be subject to copyright.
Hardening and softening nonlinearities, depending on the excitation values. Also the loci of cf points are indicated.
Source publication
Microelectromechanical resonators feature nonlinear dynamic responses. A first-principles based modeling approach is proposed for a clamped-clamped beam res- onator. Starting from the partial differential equation for the beam including geometric and electrostatic non- linear effects, a reduced-order model is derived. The model captures the experim...
Contexts in source publication
Context 1
... on the excitation parameters (V dc and V ac ), the dynamic response may show hardening or soften- ing nonlinear behavior. Since the excitation contains V 2 1 (t), see (3), the amplitude of the harmonic excitation (at frequency f ) has a value equal to 2V dc V ac . In Fig. 8, hardening and softening behaviour is depicted for the situation where V dc V ac is kept constant at 9.73 V 2 , which corresponds to V dc = 70 V and V ac = 139 mV. In Fig. 8, the amplitude-frequency curves are depicted for bias voltages ranging from 5 to 75 V. For low bias voltage values, the resonance peak bends to higher fre- ...
Context 2
... ing nonlinear behavior. Since the excitation contains V 2 1 (t), see (3), the amplitude of the harmonic excitation (at frequency f ) has a value equal to 2V dc V ac . In Fig. 8, hardening and softening behaviour is depicted for the situation where V dc V ac is kept constant at 9.73 V 2 , which corresponds to V dc = 70 V and V ac = 139 mV. In Fig. 8, the amplitude-frequency curves are depicted for bias voltages ranging from 5 to 75 V. For low bias voltage values, the resonance peak bends to higher fre- quencies. Here, the hardening effect due to midplane stretching dominates the softening effect due to electro- static excitation. For high bias voltages, the peak bends to lower ...
Context 3
... At intermediate values, a nearly linear response can be seen. The reason for this is the balance between the mid-plane stretching nonlinear ef- fect (hardening) and the electrostatic nonlinear effect (softening). This has also been reported in Younis and Nayfeh (2003). Moreover, loci of cf points have been calculated and are indicated in Fig. ...
Similar publications
![State variables of x1\documentclass[12pt]{minimal} \usepackage{amsmath}...](publication/323149456/figure/fig5/AS:941810167869441@1601556450205/State-variables-of-x1documentclass12ptminimal-usepackageamsmath_Q320.jpg)
Compared to the integer-order chaotic MEMS resonator, the fractional-order system can better model its hereditary properties and exhibit complex dynamical behavior. Following the increasing attention to adaptive stabilization in controller design, this paper deals with the observer-based adaptive stabilization issue of the fractional-order chaotic...
This study, for the first time, investigates the nonlinear bistable response of electrically actuated initially imperfect viscoelastic microresonators under DC and AC actuations, while including fringing field effects and retaining both longitudinal and transverse motions. The modified version of the couple stress theory, the Kelvin–Voigt material,...
Understanding and controlling the nonlinear coupling in micro/nanomechanical resonators are of great importance to the exploitation of advanced devices. The recently observed electrostatic nonlinear parametric coupling is a very interesting topic. However, the theoretical model of the electrostatic parametric coupling still remains unclear. This pa...
The design of an MEMS frequency up-converter is described in this paper, The device consists of two electrostatically coupled resonators that relies on the hysteresis of electrostatic pull-in in order to multiply the input excitation frequency by a significant factor, possibly up to several orders of magnitudes in order to increase the efficient of...
Non-linear behaviour occurs in MEMS devices due to structural-geometrical and electrostatic effects. Non-linear effects, even if small, can have significant practical effects on the dynamics of MEMS resonators, particularly in applications requiring very close matching between the frequencies of pairs of modes which may be excited at significantly...
