Dynamic large deformation analysis of a cantilever beam

被引：0

作者：

Wei, H. ^{[1
]}

Pan, Q. X. ^{[1
]}

Adetoro, O. B. ^{[2
]}

Avital, E. ^{[3
]}

Yuan, Y. ^{[3
]}

Wen, P. H. ^{[3
]}

机构：

[1] Changsha Univ Sci & Technol, Sch Traff & Transportat Engn, Changsha, Peoples R China

[2] Brunel Univ, Coll Engn Design & Phys Sci, London UB8 3PH, England

[3] Queen Mary Univ London, Sch Engn & Mat Sci, London E1 4NS, England

来源：

MATHEMATICS AND COMPUTERS IN SIMULATION | 2020年 / 174卷

基金：

中国国家自然科学基金;

关键词：

Nonlinear ordinary differential equation; Large deformations; Follower force; Tapered beams; Finite integration method; Static and dynamic loads; FINITE INTEGRATION METHOD; LARGE DEFLECTION ANALYSIS; ELEMENT ANALYSIS; FORMULATION; ELASTICA; MOMENT; LOAD;

D O I：

10.1016/j.matcom.2020.02.022

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A static and dynamic large deformation analysis of a tapered beam subjected to concentrated and distributed loads is presented in this paper by using a direct integration technique. The bending stiffness of the beam is coordinate dependent. The nonlinear differential equation is numerically solved using an iterative technique without an algebraic equation solver, thus the computational effort can be reduced. A concentrated mass fixed at the free end and suddenly released is studied, and the time-dependent displacements are presented. Comparison has been made with solutions obtained using Finite Element Analysis and excellent agreement is achieved. (C) 2020 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.

引用

页码：183 / 204

页数：22

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