An explicit solution of the large deformation of a cantilever beam under point load at the free tip

被引：93

作者：

Wang, Ji ^{[2
]}

Chen, Jian-Kang ^{[2
]}

Liao, Shijun ^{[1
]}

机构：

[1] Shanghai Jiao Tong Univ, Sch Naval Architecture Ocean & Civil Engn, Shanghai 200030, Peoples R China

[2] Ningbo Univ, Sch Engn, Mech & Mat Res Ctr, Ningbo 315211, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2008年 / 212卷 / 02期

关键词：

large deformation; beam; nonlinear; deflection; homotopy analysis method;

D O I：

10.1016/j.cam.2006.12.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The large deformation of a cantilever beam under point load at the free tip is investigated by an analytic method, namely the homotopy analysis method (HAM). The explicit analytic formulas for the rotation angle at the free tip are given, which provide a convenient and straightforward approach to calculate the vertical and horizontal displacements of a cantilever beam with large deformation. These explicit formulas are valid for most practical problems, thus providing a useful reference for engineering applications. The corresponding Mathematica code is given in the Appendix. (C) 2007 Elsevier B.V. All rights reserved.

引用

页码：320 / 330

页数：11

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