RESEARCH PAPERS: Vibration Isolation & Damping

Optimal Design of Linear and Nonlinear Vibration Absorbers for Damped Systems

[+] Author and Article Information
A. Soom, Ming-san Lee

Department of Mechanical and Aerospace Engineering, State University of New York at Buffalo, Amherst, N.Y. 14260

J. Vib., Acoust., Stress, and Reliab 105(1), 112-119 (Jan 01, 1983) (8 pages) doi:10.1115/1.3269054 History: Received June 11, 1981; Online November 23, 2009


Nonlinear programming techniques are applied to obtain optimal tuning and damping parameters for dynamic absorbers. The optimization has been carried out for damped as well as undamped primary systems. It is found that optimal tuning parameters, obtained with the goal of minimizing the main mass maximum displacement, undergo small changes as damping is introduced into the main system. The use of other objective functions, such as minimizing maximum velocity, or mean-squared motion to white noise excitation lead to more significant changes in optimal parameter values. It is shown, on the basis of approximate solutions to the nonlinear absorber problem, that only small improvements in steady state response are obtained using hardening or softening coupling springs.

Copyright © 1983 by ASME
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