選点法による回転殻の応力波伝播問題の解析

抄録

The collocation method for wave propagation problems of elastic shells of revolution is developed. This is a weighted residual method in which the collocation points are taken at the roots of orthogonal polynomial.
In this paper the collocation method is employed to replace a partial differential equations by a system of ordinary differential equations in time, and the resulting equations are solved by two different numerical methods of time integration: an implicit (Houbolt) method and an explicit (second order central difference) method.
The versatility and accuracy is illustrated through several numerical examples. The method appears to be relatively easy to formulate and gives satisfactory results.