Numerical simulation of free oscillations of elastic bodies with a thin coating

被引：0

作者：

Savula Ya.G. ^{[1
]}

Kossak O.S. ^{[1
]}

机构：

[1] Franko Lviv State University, Lviv

来源：

Journal of Mathematical Sciences | 2002年 / 109卷 / 1期

关键词：

Mathematical Model; Eigenvalue Problem; Elasticity Theory; Elastic Body; Free Oscillation;

D O I：

10.1023/A:1013765232115

中图分类号：

学科分类号：

摘要：

We propose an approach to the investigation of problems on free oscillations of elastic bodies with a thin coating. The method consists of applying a combined mathematical model which is based on the threedimensional equations of elasticity theory in the domain of a body and on the two-dimensional equations of the theory of shells of the Timoshenko type in the domain of a thin coating. The systems of these equations are related by the conditions of conjugation on the surface of contact. For the numerical analysis of the eigenvalue problem, we used a scheme of the finite-element method constructed by using approximations of different dimensionality. © 2002 Plenum Publishing Corporation.

引用

页码：1295 / 1302

页数：7

共 14 条

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