Limit analysis of circular plates with arbitrary rotational symmetric loading using Fourier series expansion

被引：2

作者：

Rhazzali, Abdelaziz ^{[1
]}

Ghorashi, Mehrdaad ^{[1
]}

机构：

[1] Univ Southern Maine, Dept Engn, 37 Coll Ave, Gorham, ME 04038 USA

来源：

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES | 2017年 / 130卷

关键词：

Limit analysis; Rotational symmetric loading; Circular plates; Load carrying capacity; Plastic collapse; Square yield criterion; Clamped plate; Simply supported plate; YIELD CRITERION;

D O I：

10.1016/j.ijmecsci.2017.06.014

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

This paper presents new solutions for the load carrying capacity of a circular plate subjected to arbitrary rotational symmetric loadings. Simply supported and clamped boundary conditions are considered. The lower bound method of limit analysis has been used together with the half-range Fourier series expansion of the loading function. The resulting nonlinear equation has been solved numerically using the Newton-Raphson algorithm. Since the obtained solution satisfies all of the requirements for an exact solution, it is in fact the exact critical load factor. The results have been verified against available findings in the literature. Finally, several new loading types for which no solution is currently available have been analyzed. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：274 / 281

页数：8

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