應用SCEM於拱形梁之分析研究
Date Issued
2005
Date
2005
Author(s)
張家銘
DOI
zh-TW
Abstract
Abstract
In general, the governing differential equation problem of an initial straight elastic beam subjected to a lateral load has certain rule to be solved easily. Sometimes we must analyze all kinds of questions of arch 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 arch 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 arch 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 arch 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 arch 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
拱形梁
SCEM
arch
Type
thesis
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