一様断面棒のねじり解析への有限要素法の応用

概要

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Torsion problem of long bars with uniform cross-sections was established by Saint-Venant assuming the warping function. It is very interesting to investigate this problem analytically because of the mathematical clearness and the simplicity. As numerical solutions, there is the finite difference method solving Poisson's equation with square grids. However this method is not suitable to the bars with arbitrary sections. The finite element method is another numerical method which has a merit that there is no restriction of the figures of the cross-section. In this paper, the authors show the numerical method and solutions of the bar with square cross-section by three methods. They are the finite difference method, the finite element method and the solution of Poisson's equation by the finite element method. Numerical examples of the bar with square cross-section are presented for the comparison of the methodology.
2007-03-26