Analysis of Lateral Torsional Buckling of Elastic Beams by Using Spline Collocation Method
Date Issued
2010
Date
2010
Author(s)
Chou, Chun-Wei
Abstract
In this article,I use spline function inferred from Forward Difference Method as a starting point, and it is coordinated with collocation to develop a numerical analyses method,called SCM(Spline Collocation Method).Then,I use any order spline function solved early,and make a complete B spline value table by calculating repeatedly,and it will also be advantageous to our use.
In the same time,I use MSCM(Modified Spline Collocation Method) inferred from SCM to solve some eigenvalue problems about lateral torsional buckling of elastic beams,and analysis its every model buckling load and convergence, displacement of middle point and convergence,double direction buckling shapes,and one direction deflection curve.And then,I use different primary stiffiness ratio to solve the numerical analyses solutions,and make a study of the accuracy and astringency by comparing the numerical analyses solutions with exact solutions.
The purpose of this article is used for proving that the advantages of SCM is exellent,and it is a numerical analyses method which has accuracy ,convenience,and applications.Therefore,SCM is worthy to reserch in structral analyses in depth.
Subjects
SCM
MSCM
Eigenvalue Problems
Lateral Torsional Buckling
Type
thesis
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