Analysis of the effects of nonlinear viscous damping on vibration isolator

Abstract

In this paper, vibration isolator of single degree of freedom systems having a nonlinear viscous damping is studied under force excitation. Stability of the steady state periodic response has been discussed. The influence of damping coefficients on the force transmissibility and displacement transmissibility is investigated. The relationship between amplitude and frequency is derived by using the averaging method. Results reveal that the performance of the nonlinear isolator has some beneficial effects compared with linear isolator in a certain range. Numerical simulations are presented to illustrate the results.

Design of Nonlinear Systems in the Frequency Domain: An Output Frequency Response Function-Based Approach

“…are the coefficients in the representation of (24). Moreover, the coefficients in (24) can be determined as…”

“…For example, Peng and Lang [21] have derived a recursive algorithm to determine the structure of the OFRF for the system described by a nonlinear differential equation model. More recently, the OFRF based approach has been applied in the analysis and design of nonlinear vibration isolators [22][23][24]. For example, by using the OFRF, Lang et al [22] and Peng et al [23] have rigorously proved significant beneficial effects of nonlinear damping on vibration isolation systems.…”

“…For example, by using the OFRF, Lang et al [22] and Peng et al [23] have rigorously proved significant beneficial effects of nonlinear damping on vibration isolation systems. Recently, Lv and Yao [24] have applied the OFRF to study the influence of damping coefficients on both the force and displacement transmissibility, showing that the nonlinear isolators can perform better than linear isolators over certain frequency ranges.…”

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

“…It was shown that applying nonlinear viscous damping can improve the isolation performance over a wide frequency range. Lv and Yao 20 further studied the effects of nonlinear viscous damping with displacement- n th power on the vibration isolator. Besides, Huang et al 21 investigated the effects of the velocity-displacement-dependent nonlinear damping on the isolation performance theoretically and experimentally.…”

Modeling and Dynamic Properties of a Four-Parameter Zener Model Vibration Isolator

“…Traditional passive isolators such as metal coil spring and rubber are generally soft for vibration isolation at relatively low frequencies, which is not expected in practice [14]. Nonlinear stiffness and nonlinear damping have been recently reported to be beneficial to vibration isolation for low and high frequencies [15][16][17]. For microvibration isolation, liquid damping is generally applied, in which no dead zone of friction exists, thereby benefiting small amplitude vibration isolation [18].…”