Buckling Analysis of Nanotube by Using Spline Collocation Method
Date Issued
2011
Date
2011
Author(s)
Huang, Yi-Jui
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, using 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, using MSCM(Modified Spline Collocation Method) inferred from SCM to solve some eigenvalue problems about buckling of nanotube and analysis its every model buckling load and convergence. make a study of the accuracy and astringency by comparing the numerical analyses solutions with exact solutions. And consider a nanotube under axis load and transvers load to solve displacement of middle point, rotation of end point, shear of middle point and draft a deformation diagram and internal force diagram , substitute different boundary condition to solve the numerical analyses solutions.
The purpose of this article is used for proving that the advantages of SCM is excellent and it is a numerical analyses method which has accuracy ,convenience and applications. Therefore, SCM is worthy to research in structural analyses in depth.
Subjects
Spline Collocation Method (SCM)
Forward Difference Method
Collocation
Nanotube
buckling
Type
thesis
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