Analytic solution to free vibration of rectangular plates

I. E. Harik; X. Liu; N. Balakrishnan

doi:10.1016/0022-460X(92)90626-9

Analytic solution to free vibration of rectangular plates

I. E. Harik, X. Liu, N. Balakrishnan

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31 Scopus citations

Abstract

The Analytical Strip Method (ASM) is presented for the free flexural vibration problem of rectangular plates with intermediate flexible supports and different edge conditions. Orthotropic plates and plates having single or multiple step variation in thickness are considered. The plate is divided into strips, the number of which depends on the geometric discontinuities. The solution employs the classical method of separation of variables, and the deflection for each plate strip is expressed in a single trigonometric series. Results are presented and, when possible, compared with previously published ones.

Original language	English
Pages (from-to)	51-62
Number of pages	12
Journal	Journal of Sound and Vibration
Volume	153
Issue number	1
DOIs	https://doi.org/10.1016/0022-460X(92)90626-9
State	Published - Feb 22 1992

ASJC Scopus subject areas

Condensed Matter Physics
Mechanics of Materials
Acoustics and Ultrasonics
Mechanical Engineering

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10.1016/0022-460X(92)90626-9

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title = "Analytic solution to free vibration of rectangular plates",

abstract = "The Analytical Strip Method (ASM) is presented for the free flexural vibration problem of rectangular plates with intermediate flexible supports and different edge conditions. Orthotropic plates and plates having single or multiple step variation in thickness are considered. The plate is divided into strips, the number of which depends on the geometric discontinuities. The solution employs the classical method of separation of variables, and the deflection for each plate strip is expressed in a single trigonometric series. Results are presented and, when possible, compared with previously published ones.",

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T1 - Analytic solution to free vibration of rectangular plates

AU - Harik, I. E.

AU - Liu, X.

AU - Balakrishnan, N.

PY - 1992/2/22

Y1 - 1992/2/22

N2 - The Analytical Strip Method (ASM) is presented for the free flexural vibration problem of rectangular plates with intermediate flexible supports and different edge conditions. Orthotropic plates and plates having single or multiple step variation in thickness are considered. The plate is divided into strips, the number of which depends on the geometric discontinuities. The solution employs the classical method of separation of variables, and the deflection for each plate strip is expressed in a single trigonometric series. Results are presented and, when possible, compared with previously published ones.

AB - The Analytical Strip Method (ASM) is presented for the free flexural vibration problem of rectangular plates with intermediate flexible supports and different edge conditions. Orthotropic plates and plates having single or multiple step variation in thickness are considered. The plate is divided into strips, the number of which depends on the geometric discontinuities. The solution employs the classical method of separation of variables, and the deflection for each plate strip is expressed in a single trigonometric series. Results are presented and, when possible, compared with previously published ones.

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ER -

Analytic solution to free vibration of rectangular plates

Abstract

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