Passive Vibration Control: A Probabilistic Approach

[+] Author and Article Information
Hector A. Jensen

Department of Civil Engineering, Federico Santa Maria University, Valparaiso, Chile

Mehdi Setareh

College of Architecture and Design, Lawrence Technological University, Southfield MI 48075-1058

Appl. Mech. Rev 46(11S), S53-S62 (Nov 01, 1993) doi:10.1115/1.3122658 History: Online April 29, 2009


This paper is concerned with the behavior of vibration absorbers attached to systems with uncertain properties. The uncertainties of the main system properties are modeled in a probabilistic sense by means of a Bayesian probabilistic interpretation. The structural systems considered in this study are simple systems modeled as one-degree-of-freedom oscillators subjected to a white noise base excitation. Due to the uncertainty of the main system properties, the classical deterministic minimization problem becomes a stochastic optimization problem. An optimization technique is implemented to solve this non-classical problem, and the absorber parameters as well as the optimum response of the system are obtained. These results are then used to assess the performance of the vibration absorber. It is found that parameter uncertainties may have a significant effect on its effectiveness. Finally, an alternative approach that improves the absorber efficiency, when uncertainties in the main system properties are considered, is presented in this paper.

Copyright © 1993 by American Society of Mechanical Engineers
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