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RESEARCH PAPERS: Vibrations Papers

Coupled Response of Spatial Vibratory Structures Mounted to Isotropic Plate Elements

[+] Author and Article Information
K. J. Saczalski

Clarkson College of Technology, Potsdam, N. Y.

T. C. Huang

University of Wisconsin, Madison, Wis.

J. Eng. Ind 94(1), 15-22 (Feb 01, 1972) (8 pages) doi:10.1115/1.3428106 History: Received May 11, 1971; Online July 15, 2010

Abstract

Compatibility and modal coupling, using Lagrangian multipliers as coupling mechanisms, establishes the dynamic influence of isotropic flat plates on spatial vibratory structures containing arbitrary shaped rigid bodies. The elastodynamic Euler-Lagrange equations of equilibrium and compatibility are developed and resolved into matrix form to provide a convenient format for describing deterministic and nondeterministic response characteristics of the coupled system. The resulting vibration problem is solved by classical transform methods for free and forced vibration excitations. Special cases of randomly excited systems round out the nondeterministic statistical applications. A particular example illustrates the application of analysis.

Copyright © 1972 by ASME
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