NONSYMMETRICAL LARGE DEFORMATION BENDING PROBLEM OF CIRCULAR THIN PLATES

Applied Mathematics and Mechanics (English Edition) ›› 1992, Vol. 13 ›› Issue (12): 1149-1162.

NONSYMMETRICAL LARGE DEFORMATION BENDING PROBLEM OF CIRCULAR THIN PLATES

王林祥, 王新志, 邱平

Gansu University of Technology, Lanzhou

收稿日期:1991-08-23 出版日期:1992-12-18 发布日期:1992-12-18
基金资助:
Project supported by the National Natural Science Foundation of China

NONSYMMETRICAL LARGE DEFORMATION BENDING PROBLEM OF CIRCULAR THIN PLATES

Wang Lin-xiang, Wang Xin-zhi, Qiu Ping

Gansu University of Technology, Lanzhou

Received:1991-08-23 Online:1992-12-18 Published:1992-12-18
Supported by:
Project supported by the National Natural Science Foundation of China

摘要/Abstract

摘要： To begin with, in this paper, the displacement governing equations and the boundary conditions of nonsymmetrical large deflection problem of circular thin plates are derived. By using the transformation and the perturbation method, the nonlinear displacement equations are linearized, and the approximate boundary value problems are obtained. As an example, the nonlinear bending problem of circular thin plates subjected to comparatively complex loads is studied.

关键词: plate, displacement, nonlinear, transformation, perturbation method

Abstract: To begin with, in this paper, the displacement governing equations and the boundary conditions of nonsymmetrical large deflection problem of circular thin plates are derived. By using the transformation and the perturbation method, the nonlinear displacement equations are linearized, and the approximate boundary value problems are obtained. As an example, the nonlinear bending problem of circular thin plates subjected to comparatively complex loads is studied.

Key words: plate, displacement, nonlinear, transformation, perturbation method

王林祥;王新志;邱平. NONSYMMETRICAL LARGE DEFORMATION BENDING PROBLEM OF CIRCULAR THIN PLATES[J]. Applied Mathematics and Mechanics (English Edition), 1992, 13(12): 1149-1162.

Wang Lin-xiang;Wang Xin-zhi;Qiu Ping. NONSYMMETRICAL LARGE DEFORMATION BENDING PROBLEM OF CIRCULAR THIN PLATES[J]. Applied Mathematics and Mechanics (English Edition), 1992, 13(12): 1149-1162.

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NONSYMMETRICAL LARGE DEFORMATION BENDING PROBLEM OF CIRCULAR THIN PLATES

NONSYMMETRICAL LARGE DEFORMATION BENDING PROBLEM OF CIRCULAR THIN PLATES

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