Session: VIB-06-01 MEMS, NEMS and Control of Vibration, Shock and Noise

Paper Number: 71674

Start Time: August 19, 11:10 AM

71674 - Vibration Suppression of a Linear Oscillator Force-Excited by Random Excitation via an Inerter Pendulum Vibration Absorber 

Vibration suppression continues to be a popular research topic. In this theoretical study, the vibration suppression and nonlinear energy transfer, as a function of a dimensionless pendulum length parameter, is investigated for an Inerter Pendulum Vibration Absorber (IPVA) attached to a linear single-degree-of-freedom spring-mass-damper system, subject to white noise excitation. Stochastic differential equations of motion are first developed and integrated to determine the evolution of the response and associated mean and mean square values for long integration times. Dynamic statistical moment equations are then developed, while arc-length continuation is used to track steady state solutions of the moments as a function of the pendulum length. Two noise intensity and damping configurations are analyzed and a critical parameter value, in both cases, is found to produce a qualitative change in the system dynamics accompanied by optimal vibration suppression.  The results are compared to the response of a linear system without an IPVA to quantify the vibration suppression. The response as a function of time is finally calculated to provide validation for the results and gain insight into the changing dynamics of the system as a function of the pendulum length, leading to the discovery of intermittent rotation for sufficiently large pendulum length. 

Presenting Author: Joel Cosner Michigan State University

Authors:

Joel A. Cosner Michigan State University
Wei-Che Tai Michigan State University