衝撃荷重をうける一次元棒の応力波伝播解析への指数関数型構成則の応用

概要

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The properties of the numerical methods for analyzing the stress wave propagation which is caused by a longitudinal impact of a cylindrical bar have been investigated by a one-dimensional model. An exponential function is chosen as the constitutive equation in order to realize that the one-dimensional model possesses some physical properties for the numerical calculation. We have treated the numerical methods which keep the physical properties intrinsically possessed by the system such as the laws of conservation of momentum and energy. Namely, we have focused on the integrable difference scheme and the symplectic scheme as the numerical methods for the analysis. We have compared those two schemes with the general-purpose methods such as Euler method, Leapfrog method and Runge-Kutta method on the accuracy and the efficiency of the calculation. The properties of each numerical method for the present model are revealed. Especially, it is shown that the integrable difference scheme and the symplectic scheme can maintain a certain accuracy for the long time behavior of the stress wave.
2010-07-25