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Proceedings Paper

Closed-form exact solution to H-infinity optimization of dynamic vibration absorbers: II. Application to different performance indexes for vibration isolation
Author(s): Toshihiko Asami; Osamu Nishihara
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Paper Abstract

Recently, Nishihara and Matsuhisa have proposed a new theory for attaining the H(infinity) optimization of a dynamic vibration absorber (DVA) in the linear vibratory systems. The H(infinity) optimization of DVA is a classical optimization problem, and already solved more than 50 years ago. All of us know the solution through the textbook written by Den Hartog. The new theory proposed them gives us the exact algebraic solution of the problem. In the first report, we have expounded the theory and showed the procedure of finding the algebraic solution to a typical performance index (compliance transfer function) of the viscous damped system. In this paper, we will apply this theory to another performance indexes: mobility and accelerance transfer functions for force excitation system, and the absolute and relative displacement responses to acceleration, velocity or displacement input to foundation for motion excitation system. We apply this theory not only the viscous damped system but also the hysteretic damped system. As a result, we found the closed-form exact solutions in every performance indexes when the primary system has no damping. The solutions obtained here are compared with the classical ones solved by the fixed-points theory. We further apply this theory to design of DVAs attached to damped primary systems, and found the closed-form exact solutions to some performance indexes of the hysteretic damped system.

Paper Details

Date Published: 27 April 2000
PDF: 14 pages
Proc. SPIE 3989, Smart Structures and Materials 2000: Damping and Isolation, (27 April 2000); doi: 10.1117/12.384557
Show Author Affiliations
Toshihiko Asami, Hijemi Institute of Technology (Japan)
Osamu Nishihara, Kyoto Univ. (Japan)

Published in SPIE Proceedings Vol. 3989:
Smart Structures and Materials 2000: Damping and Isolation
T. Tupper Hyde, Editor(s)

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