Application of spectral methods to solve nonlinear buckling analysis of an elastic beam
Publish place: Caspian Journal of Mathematical Sciences، Vol: 10، Issue: 1
Publish Year: 1400
Type: Journal paper
Language: English
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Document National Code:
JR_CJMS-10-1_008
Index date: 8 August 2021
Application of spectral methods to solve nonlinear buckling analysis of an elastic beam abstract
This study is concerned with exploiting the spectral method to solve the fourth-order boundary value problem (BVP). Such equations frequently arise in the study and modeling of large amplitude transverse buckling in an elastic beam. To this end, the properties of shifted Legendre polynomial together with its operational matrix of the derivative and the spectral method is utilized to reduce BVP to a system of algebraic equations. Numerical results turn out the efficiency and accuracy of the propounded technique.
Application of spectral methods to solve nonlinear buckling analysis of an elastic beam Keywords:
Hinged Beam , Spectral method , Nonlinear fourth order boundary value problem , Shifted Legendre polynomials , Operational matrix of derivative
Application of spectral methods to solve nonlinear buckling analysis of an elastic beam authors
Asiyeh Ebrahimzadeh
Assistent Professor, Department of Mathematics Education, Farhangian University, Tehran, Iran
Samaneh Panjeh Ali Beik
National Center of Medical Education Assessment, Tehran, Iran