Comparison of Linear and Nonlinear Damping Effects on a Ring Vibration Isolator

2020 ◽  
pp. 13-22
Author(s):  
Ze-Qi Lu ◽  
Dong-Hao Gu ◽  
Ye-Wei Zhang ◽  
Hu Ding ◽  
Walter Lacarbonara ◽  
...  
Keyword(s):  
Nonlinear Damping ◽  
Vibration Isolator ◽  
Linear And Nonlinear ◽  
Damping Effects

Beneficial performance of a quasi-zero stiffness vibration isolator with generalized geometric nonlinear damping

2020 ◽  
pp. 095745652097238
Author(s):  
Chun Cheng ◽  
Ran Ma ◽  
Yan Hu
Keyword(s):  
Damping Ratio ◽  
Nonlinear Damping ◽  
Vibration Isolator ◽  
Equivalent Damping ◽  
Frequency Responses ◽  
Geometric Nonlinear ◽  
Resonant Region ◽  
Force Transmissibility ◽  
Isolation Performance ◽  
Force And Displacement Transmissibility

Generalized geometric nonlinear damping based on the viscous damper with a non-negative velocity exponent is proposed to improve the isolation performance of a quasi-zero stiffness (QZS) vibration isolator in this paper. Firstly, the generalized geometric nonlinear damping characteristic is derived. Then, the amplitude-frequency responses of the QZS vibration isolator under force and base excitations are obtained, respectively, using the averaging method. Parametric analysis of the force and displacement transmissibility is conducted subsequently. At last, two phenomena are explained from the viewpoint of the equivalent damping ratio. The results show that decreasing the velocity exponent of the horizontal damper is beneficial to reduce the force transmissibility in the resonant region. For the case of base excitation, it is beneficial to select a smaller velocity exponent only when the nonlinear damping ratio is relatively large.

Nonlinear Vibration Analysis of Viscoelastic Isolator

2012 ◽  
Vol 160 ◽  
pp. 140-144
Author(s):  
Chao Zhou ◽  
Cai Mao Zhong
Keyword(s):  
Dynamic Response ◽  
Fractional Derivative ◽  
Nonlinear Dynamic ◽  
Harmonic Balance Method ◽  
Nonlinear Damping ◽  
Vibration Isolator ◽  
Response Characteristics ◽  
Nonlinear Dynamic Equation ◽  
The Stability ◽  
Stiffness And Damping

Research on nonlinear dynamic response of passive vibration isolator, which was excited by foundation vibration and isolated by viscoelastic material was done. Nonlinear stiffness was expressed by the cubic polynomial function of deformation and nonlinear damping was characterized by viscoelastic fractional derivative operator. Then the fractional derivative nonlinear dynamic equation of passive vibration isolator was established. The dynamic response characteristics were analyzed by harmonic balance method and the frequency response equation and amplitude-frequency curve were obtained, and furthermore, the influence of nonlinearity on system was analyzed. Finally, the stability and the stable interval of the periodic solution were argued by the Floquet theory. The result s indicates that the proposed equation can precisely describe the dynamic characteristics of viscoelastic vibration isolator. The ignorance of nonlinearity of stiffness and damping will result in obvious error. The proposed method provides theoretic reference for design of viscoelastic isolator and the evaluation of its effect.

Analysis of Nonlinear Transient Motion of a Geared Torsional

1974 ◽  
Vol 96 (1) ◽  
pp. 51-59 ◽  
Author(s):  
S. M. Wang
Keyword(s):  
Gear Tooth ◽  
Nonlinear Damping ◽  
Gear Train ◽  
Transient Motion ◽  
Closed Form Solutions ◽  
Torsional Response ◽  
Tooth Stiffness ◽  
Nonlinear Transient ◽  
Linear And Nonlinear ◽  
Torsional Analysis

The dynamic torsional analysis of gear train systems has implemented many practical system designs. A computer analysis to predict the steady-state torsional response of a gear train system is presented in reference [1]. The current paper extends this work to the linear and nonlinear transient analysis of complex torsional gear train systems. Factors considered in the formulation are time-varying gear tooth stiffness, gear web rigidity, gear tooth backlash, shafts of nonuniform cross section, linear and nonlinear damping elements, multishock loadings, and complex-geared branched systems. For linear systems, the equations of transient motion are derived and closed-form solutions can be obtained by the state transition method [2]. For nonlinear systems, numerical methods are also presented. The method may be used as a means to analyze gear train start/stop operational problems, as well as constant speed response subject to internal and external disturbances.

scholarly journals Methods for Atomistic Simulations of Linear and Nonlinear Damping in Nanomechanical Resonators

2015 ◽  
Vol 24 (5) ◽  
pp. 1462-1470 ◽  
Author(s):  
Zahra Nourmohammadi ◽  
Sankha Mukherjee ◽  
Surabhi Joshi ◽  
Jun Song ◽  
Srikar Vengallatore
Keyword(s):  
Nonlinear Damping ◽  
Atomistic Simulations ◽  
Nanomechanical Resonators ◽  
Linear And Nonlinear

scholarly journals A Truncated Low Approach of Intrinsic Linear and Nonlinear Damping in Thin Structures

2006 ◽  
Vol 129 (1) ◽  
pp. 32-38
Author(s):  
Yves Gourinat ◽  
Victorien Belloeil
Keyword(s):  
Experimental Data ◽  
Damping Ratio ◽  
Vibrational Analysis ◽  
Nonlinear Damping ◽  
Thin Structures ◽  
Adaptive Approach ◽  
Equivalent Damping ◽  
Linear And Nonlinear ◽  
Algebraic Representations

An adaptive approach of vibrating thin structures is proposed here. The method consists in applying an equivalent adimensional damping ratio to each potential resonance. This ratio is deduced from experimental data obtained in vacuum facility, in relation with frequencies, for several structural technologies. Consequently, it is possible to calculate the structure in a linear nondissipative context, valid out of resonance bands, and truncated in those bands. Thus, the equivalent damping ratio is directly used to define adimensional resonance truncation bandwith and level. The contribution consists in tested and applied modal methodology and algebraic representations of damping including several dissipations—viscous and internal microfrictions—inducing a nonmonotonous model. The here aim is to provide realistic recommendations for simple vibrational analysis of aerospace thin structures—panels and stiffeners.

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