Non-linear dynamic analysis of double-layer semi-active vibration isolation systems using revised Bingham model

Abstract

In this work, a revised Bingham model for magneto-rheological damper is used to investigate the primary resonance reduction in the double-layer semi-active isolation system of marine auxiliary machinery. An analytical solution for the auxiliary double-layer semi-active isolation system's primary resonance is obtained with an averaging method, and this is verified numerically using the Maple software. The effect of model parameters of magneto-rheological damper on the system's vibration transmissibility is studied. The research results show that the damping of magneto-rheological damper and the control force have a significant effect on the vibration transmissibility in the resonance region. The vibration transmissibility of the double-layer semi-active isolation system decreases with increase in damping of the magnetorheological damper and control force. Yet the zero force velocity contributes very little to changes in vibration transmissibility.

Power Flow in a Two‐Stage Nonlinear Vibration Isolation System with High‐Static‐Low‐Dynamic Stiffness

“…where is the eigenvalue, the coefficients in the linearized perturbation equation 11 , 21 , 11 , 21 , 11 , and 21 can be determined by (9). Equation (9) is a group of the nonlinear algebraic equations.…”

“…More than one mode could be decayed by this damped mount. Later, many literatures concerned the usage of power flow in quantifying the nonlinear vibration isolation with flexible base [7][8][9].…”

Intelligent parameter identification for bridge cables based on characteristic frequency equation of transverse dynamic stiffness

“…According to the derivation, 20 it is difficult to solve equation (6), because f 0 ðp 1 ; p 2 ; x 0 Þ is a sophisticated implicit function containing parameter p 2 . To solve the equation, we require transforming it into an optimization problem as follows…”

“…It can be observed from equations (7) and (8) that the parameter p 2 opt , which maximizes f I ðp 1 ; p 2 ; x 0 Þ, is the root of equation (6).…”

“…The commonly used method for controlling vibration is the attached damper system. [4][5][6] The damper changes the vibration characteristics leading to a more complex cable system. Moreover, the existing vibration measurements can be applied only if the explicit formulation, which depicts the relationship between the fundamental frequency (or modal frequencies whose order is known) and the cable parameters, is known.…”