Exact large deflection of beams with nonlinear boundary conditions

Sen-Yung Lee, Sheei Muh Lin, Chien Shien Lee, Shin Yi Lu, Yen Tse Liu

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

An analytic solution method, namely the shifting function method, is developed to find the exact large static deflection of a beam with nonlinear elastic springs supports at ends for the first time. The associated mathematic system is a fourth order ordinary differential equation with nonlinear boundary conditions. It is shifted and decomposed into five linear differential equations and at most four algebra equations. After finding the roots of the algebra equations, the exact solution of the nonlinear beam system can be reconstructed. It is shown that the proposed method is valid for the problem with strong nonlinearity. Finally, examples and limiting studies are given to illustrate the analysis.

Original languageEnglish
Pages (from-to)27-36
Number of pages10
JournalCMES - Computer Modeling in Engineering and Sciences
Volume30
Issue number1
Publication statusPublished - 2008

Fingerprint

Large Deflection
Nonlinear Boundary Conditions
Algebra
Boundary conditions
Ordinary differential equations
Differential equations
Analytic Solution
Linear differential equation
Deflection
Fourth Order
Ordinary differential equation
Limiting
Exact Solution
Roots
Nonlinearity
Valid

All Science Journal Classification (ASJC) codes

  • Software
  • Modelling and Simulation
  • Computer Science Applications

Cite this

Lee, Sen-Yung ; Lin, Sheei Muh ; Lee, Chien Shien ; Lu, Shin Yi ; Liu, Yen Tse. / Exact large deflection of beams with nonlinear boundary conditions. In: CMES - Computer Modeling in Engineering and Sciences. 2008 ; Vol. 30, No. 1. pp. 27-36.
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Exact large deflection of beams with nonlinear boundary conditions. / Lee, Sen-Yung; Lin, Sheei Muh; Lee, Chien Shien; Lu, Shin Yi; Liu, Yen Tse.

In: CMES - Computer Modeling in Engineering and Sciences, Vol. 30, No. 1, 2008, p. 27-36.

Research output: Contribution to journalArticle

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