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

共 50 条

[1] Explicit solution to the large deformation of a cantilever beam under point load at the free tip using the variational iteration method-II
Ghaffarzadeh, Hosein
Nikkar, Ali
JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY, 2013, 27 (11) : 3433 - 3438
[2] Explicit solution to the large deformation of a cantilever beam under point load at the free tip using the variational iteration method-II
Hosein Ghaffarzadeh
Ali Nikkar
Journal of Mechanical Science and Technology, 2013, 27 : 3433 - 3438
[3] Analytical Solution for Large Deflections of a Cantilever Beam Under Nonconservative Load Based on Homotopy Analysis Method
Kimiaeifar, A.
Domairry, G.
Mohebpour, S. R.
Sohouli, A. R.
Davodi, A. G.
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2011, 27 (03) : 541 - 553
[4] Numerical Solution of Bending Problem of A FGM Cantilever Beam With Large Deformation
Li, Qing-Lu
Li, Shi-Rong
MATERIALS SCIENCE AND ENGINEERING APPLICATIONS, PTS 1-3, 2011, 160-162 : 503 - +
[5] A homotopy analysis solution to large deformation of beams under static arbitrary distributed load
Maleki, Mohammad
Tonekaboni, Seyed Ali Madani
Abbasbandy, Saeid
APPLIED MATHEMATICAL MODELLING, 2014, 38 (01) : 355 - 368
[6] Application of the differential transformation method and variational iteration method to large deformation of cantilever beams under point load
Salehi, Pouya
Yaghoobi, Hessameddin
Torabi, Mohsen
JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY, 2012, 26 (09) : 2879 - 2887
[7] Application of the differential transformation method and variational iteration method to large deformation of cantilever beams under point load
Pouya Salehi
Hessameddin Yaghoobi
Mohsen Torabi
Journal of Mechanical Science and Technology, 2012, 26 : 2879 - 2887
[8] SERIES SOLUTION OF LARGE DEFORMATION OF A BEAM WITH ARBITRARY VARIABLE CROSS SECTION UNDER AN AXIAL LOAD
Liao, Shijun
ANZIAM JOURNAL, 2009, 51 (01) : 10 - 33
[9] Uniform strength for large deflections of cantilever beams under end point load
Oore, Sageev
Oore, Mordecai
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2009, 38 (05) : 499 - 510
[10] Uniform strength for large deflections of cantilever beams under end point load
Sageev Oore
Mordecai Oore
Structural and Multidisciplinary Optimization, 2009, 38 : 499 - 510

← 1 2 3 4 5 →