A PERTURBATION SOLUTION IN THE NONLINEAR THEORY OF CIRCULAR PLATES

Applied Mathematics and Mechanics (English Edition) ›› 1981, Vol. 2 ›› Issue (5): 519-528.

A PERTURBATION SOLUTION IN THE NONLINEAR THEORY OF CIRCULAR PLATES

周焕文

Wuhan University, Wuhan

收稿日期:1981-01-29 出版日期:1981-09-18 发布日期:1981-09-18

A PERTURBATION SOLUTION IN THE NONLINEAR THEORY OF CIRCULAR PLATES

Chou Huan-wen

Wuhan University, Wuhan

Received:1981-01-29 Online:1981-09-18 Published:1981-09-18

摘要/Abstract

摘要： In this paper, we analyzed some problems of nonlinear circular plates by means of perturbation method. The perturbation parameters chosen here are obtained from solving the equations and are not certain mechanical quantities given precedently. This is an extension of W. Z. Chien’s perturbation method, which uses the central deflection as the perturbation parameter.

关键词: JL function, turning point, asymptotic solution

Abstract: In this paper, we analyzed some problems of nonlinear circular plates by means of perturbation method. The perturbation parameters chosen here are obtained from solving the equations and are not certain mechanical quantities given precedently. This is an extension of W. Z. Chien’s perturbation method, which uses the central deflection as the perturbation parameter.

Key words: JL function, turning point, asymptotic solution

周焕文. A PERTURBATION SOLUTION IN THE NONLINEAR THEORY OF CIRCULAR PLATES[J]. Applied Mathematics and Mechanics (English Edition), 1981, 2(5): 519-528.

Chou Huan-wen. A PERTURBATION SOLUTION IN THE NONLINEAR THEORY OF CIRCULAR PLATES[J]. Applied Mathematics and Mechanics (English Edition), 1981, 2(5): 519-528.

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A PERTURBATION SOLUTION IN THE NONLINEAR THEORY OF CIRCULAR PLATES

A PERTURBATION SOLUTION IN THE NONLINEAR THEORY OF CIRCULAR PLATES

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