Meshfree Method for Geometrical Nonlinear Analysis of Curved and Twisted Beams Using a Three-Dimensional Finite Deformation Theory

被引：5

作者：

Yeh, Wen-Cheng ^{[1
]}

Wang, Yung-Ming ^{[2
]}

机构：

[1] Natl Pingtung Univ Sci & Technol, Dept Civil Engn, Pingtung 91201, Taiwan

[2] Natl Cheng Kung Univ, Dept Civil Engn, Tainan 70101, Taiwan

来源：

INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS | 2019年 / 19卷 / 10期

关键词：

Curved beam; meshfree method; geometric nonlinear analysis; finite deformation; post-buckling; snap-through; twisted beam; ELEMENT FORMULATION; COLLOCATION METHOD; INSTABILITY PROBLEM; BUCKLING ANALYSIS; IMPLEMENTATION; MODEL;

D O I：

10.1142/S0219455419501165

中图分类号：

TU [建筑科学];

学科分类号：

0813 ;

摘要：

This paper presents a three-dimensional finite deformation theory for the geometric nonlinear analysis of both the curved and twisted beams using the meshfree method based on the Timoshenko beam hypothesis. The theory presented is simple, but it is capable of solving the stability, postbuckling, snap-through, and large deformation problems effectively. Clear physical meanings will be revealed in derivation of the three-dimensional finite deformation theory. A meshfree method based on the differential reproducing kernel (DRK) approximation collocation method combined with the Newton-Raphson method is employed to solve the strong forms of the geometrically nonlinear problems. Numerical examples are given to illustrate the validity of the method presented.

引用

页数：26

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