Acoustic radiation generated by nonlinear and chaotic vibrations of homogeneous and layered beams

Document Type

Conference Proceeding

Publication Date

12-1-1991

Abstract

In recent years chaos have been found to develop in nonlinear large-deflection vibrations of a buckled elastic beam of the classical type. When such a beam vibrates in a fluid medium, acoustic radiation is expected to be generated in the usual manner. In this paper we first present a simple dynamical model for large deflections of a buckled Timoshenko beam that is also applicable to the classical beam as a special case. The models for the Timoshenko and classical beams are similar to those for large deflections of buckled sandwich and laminated composite beams which we have reported in other recent papers. Based on such dynamical models of homogeneous and layered beams, we next propose a method of solution of the general problem of acoustic radiation, consisting of two steps that are assumed to be uncoupled from each other. In the first step nonlinear and chaotic vibrations of the buckled beams due to a simple harmonic excitation are determined from the dynamical models and analyzed in the frequency domain by the fast Fourier transform. In the second step the acoustic radiation generated in the far field in the fluid medium is formulated as a linear problem, by carrying out Fourier transforms in both time and space domains.

Identifier

0026395191 (Scopus)

ISBN

[0791808866]

Publication Title

American Society of Mechanical Engineers Noise Control and Acoustics Division Publication NCA

First Page

67

Last Page

75

Volume

12

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