One Approach to the Plane Problem on Impact of Timoshenko-Type Shells on Elastic Half-Space

被引：0

作者：

Bogdanov, V. R. ^{[1
]}

机构：

[1] Progress Res Solut Pty Ltd, Sydney, Australia

来源：

MECHANICS OF SOLIDS | 2023年 / 58卷 / 04期

关键词：

impact; half-space; plane problem; cylindrical shell;

D O I：

10.3103/S002565442360037X

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The article presents an attempt to solve the plane problem on the impact of an elastic Timoshenko shell on an elastic half-space using the method of reducing problems of dynamics to the solution of a Volterra's infinite system of integral equations (ISIE) of the second kind. It is shown that such an approach is not acceptable. When discretizing the reduced Volterra's ISIE of the second kind, a poorly defined system of linear algebraic equations is obtained: as the reduction order increases, the determinant of such a system tends to infinity. This circumstance shows the limitations of this approach.

引用

页码：1126 / 1136

页数：11

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