Application of Spline Collocation Element Method in Analysis of Tapered Elastic Beam-Column
Date Issued
2004
Date
2004
Author(s)
Liu, Chih-Wei
DOI
zh-TW
Abstract
In general, the governing differential equation problem of an initial straight elastic beam-column subjected to an axial force and a lateral load with uniform cross-section has certain rule to be solved easily. Sometimes we must analyze all kinds of questions of tapered elastic beam-column structure in order to consider some reasons, and the questions have been complicated problems of solving ordinary differential equations with various coefficients. Therefore they are not easy to find analytic solutions.
In this paper, analyses of tapered elastic beam-column assumed by establishing models are conducted using the modified spline collocation method and spline collocation element method (SCM&SCEM). SCM and SCEM can be applied to tapered elastic beam-column by direct use of governing equation, and it is more convenient that the coefficient matrix for the weighting coefficients can be assembled simply by finding from the table for the values of quintic spline function at knots without process of complicated calculation. In addition, the reasonable results of the tapered elastic beam-column undergoing various types of loadings and boundary conditions can be obtained just needing the governing equation, and it is more economical and time-saving for writing computer programs which use less arithmetic operators.
By comparing with other accurate numerical solutions at last, it is shown that the analyses of the tapered elastic beam-column problems by the SCM and SCEM are stable and convergent, and the excellent accuracy in results is achieved. Besides, the ease of using this method has been clearly shown.
Subjects
漸變斷面彈性梁柱
楔函數插入法
Tapered Elastic Beam-Column
Spline Collocation Element Method
SCEM
Type
thesis
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