Paper Title:
A New Method of Researching the Equation of Nonlinear Static Simply Supported Beam
  Abstract

In this paper, the nonlinear deflection curve equation of simply supported beam is converted into an algebraic equation based on a new method that combines with the Modified Differential Method and Newton Iteration Method. The conclusion drawn by comparing the analytical solution and numerical results of simply supported beam’s equation with uniform load shows that the method is precise and efficient for solving nonlinear differential equations. We also analyze the case of simply supported beam with variable cross-section and get the same conclusion.

  Info
Periodical
Advanced Materials Research (Volumes 261-263)
Edited by
Jingying Zhao
Pages
848-852
DOI
10.4028/www.scientific.net/AMR.261-263.848
Citation
L. Y. Yang, Z. L. Li, "A New Method of Researching the Equation of Nonlinear Static Simply Supported Beam", Advanced Materials Research, Vols. 261-263, pp. 848-852, 2011
Online since
May 2011
Export
Price
$32.00
Share

In order to see related information, you need to Login.

In order to see related information, you need to Login.

Authors: Bang Qing Li, Mei Ping Xu, Yu Lan Ma
Abstract:Extending a symbolic computation algorithm, namely, (G′/G)-expansion method, a new series of exact solutions are constructed for...
1516
Authors: Han Li
Chapter 6: Mechatronics
Abstract:In this paper, we present and analyze a new iterative method for solving nonlinear equations. It is proved that the method is six-order...
1019
Authors: Chun Huan Xiang
Chapter 16: Applied and Computational Mechanics
Abstract:The purpose of this work is to reveal the dynamical behavior of the nonlinear PHI-four equation, which is an interesting and very useful...
4569
Authors: Ling Feng Han, Shi Yuan Wu
Chapter 8: Structural Analysis
Abstract:Differential Transform Method (DTM) is a new semi-analytical, semi-numerical algorithm, which transforms differential equations to the form...
818
Authors: J.F. Nie, M.L. Zheng, G.B. Yu, J.M. Wen, B. Dai
Chapter 1: Advanced Technologies in Mechanical and Manufacturing Engineering
Abstract:To obtain exact analytical solutions of differential equations of gear system dynamics due to the difficulty of solving complicated...
324