PERTURBATION METHOD IN THE PROBLEM OF LARGE DEFLECTIONS OF CIRCULAR PLATES WITH NONUNIFORM THICKNESS

Applied Mathematics and Mechanics (English Edition) ›› 1984, Vol. 5 ›› Issue (2): 1237-1242.

PERTURBATION METHOD IN THE PROBLEM OF LARGE DEFLECTIONS OF CIRCULAR PLATES WITH NONUNIFORM THICKNESS

杨嘉实, 谢志成

Qinghua University, Beijing

收稿日期:1982-12-11 出版日期:1984-03-18 发布日期:1984-03-18

PERTURBATION METHOD IN THE PROBLEM OF LARGE DEFLECTIONS OF CIRCULAR PLATES WITH NONUNIFORM THICKNESS

Yang Chia-shih, Xie Zhi-cheng

Qinghua University, Beijing

Received:1982-12-11 Online:1984-03-18 Published:1984-03-18

摘要/Abstract

摘要： In this paper the perturbation method about two parameters is applied to the problem of large deflection of a cricular plate with exponentially varying thickness under uniform pressure. An asymptotic solution up to the third-order is derived: In comparison with the exact solutions in special cases, the asymptotic solution shows a precise accuracy.

关键词: Navier-Stokes equation, two-grid method, stream function

Abstract: In this paper the perturbation method about two parameters is applied to the problem of large deflection of a cricular plate with exponentially varying thickness under uniform pressure. An asymptotic solution up to the third-order is derived: In comparison with the exact solutions in special cases, the asymptotic solution shows a precise accuracy.

Key words: Navier-Stokes equation, two-grid method, stream function

杨嘉实;谢志成. PERTURBATION METHOD IN THE PROBLEM OF LARGE DEFLECTIONS OF CIRCULAR PLATES WITH NONUNIFORM THICKNESS[J]. Applied Mathematics and Mechanics (English Edition), 1984, 5(2): 1237-1242.

Yang Chia-shih;Xie Zhi-cheng. PERTURBATION METHOD IN THE PROBLEM OF LARGE DEFLECTIONS OF CIRCULAR PLATES WITH NONUNIFORM THICKNESS[J]. Applied Mathematics and Mechanics (English Edition), 1984, 5(2): 1237-1242.

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PERTURBATION METHOD IN THE PROBLEM OF LARGE DEFLECTIONS OF CIRCULAR PLATES WITH NONUNIFORM THICKNESS

PERTURBATION METHOD IN THE PROBLEM OF LARGE DEFLECTIONS OF CIRCULAR PLATES WITH NONUNIFORM THICKNESS

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