Analysis and design of the force and displacement transmissibility of nonlinear viscous damper based vibration isolation systems

Abstract

This study is concerned with the analysis and design of the force and displacement transmissibility of nonlinear viscous damper based vibration isolation systems. Analytical algorithms are derived using the Ritz-Galerkin method to evaluate the transmissibility of SDOF displacement vibration isolation and force vibration isolation systems where a nonlinear viscous damper is used as an energy dissipating device. The results reveal that compared to linear dampers, nonlinear viscous dampers can more significantly improve the system vibration isolation performance in a wider frequency range. A procedure is then proposed based on the analysis results to facilitate the design of nonlinear viscous dampers for system vibration isolation purposes. These results have significant implications for the design of vibration isolation systems in many engineering applications.

Z-Damper: A New Paradigm for Attenuation of Vibrations

“…Any structure behaves as a vibration path or "circuit" for an oscillatory mechanical excitation and it can be characterized by a "dynamic transfer function" which is strongly dependent on frequency [1].…”

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

“…To address this issue, many new concepts such as Nonlinear Output Frequency Response Function (NOFRF) [15], Output Frequency Response Function (OFRF) [16], and Higher Order Sinusoidal Input Describing Functions (HOSIDF) [17] have been proposed. The OFRF reveals an analytical relationship between the output frequency response of nonlinear systems and the parameters which define the system nonlinearities and can be used to facilitate both the analysis and design of nonlinear systems in the frequency domain [18][19]. The HOSIDF can be considered as a special case of the OFRF [20].…”

Research and Analysis of Quasi-Zero-Stiffness Isolator with Geometric Nonlinear Damping

“…Zhou et al introduced a cam-roller negative-stiffness mechanism and also achieved quasi-zero-stiffness isolation [28]. However, there are not many studies on the combination of nonlinear damping and quasi-zero-stiffness systems [29,30]. In this paper, a QZS vibration isolator with geometric nonlinear damping is developed with the purpose of enhancing the vibration isolation performance.…”