Exact solution of the mixed boundary-value problem of the theory of elasticity for a wedge-shaped plate of finite length

被引：0

作者：

Popov, G. Ya. ^{[1
]}

Kebli, B. ^{[2
]}

机构：

[1] Mechnikov Natl Univ, UA-270100 Odessa, Ukraine

[2] Algerian Natl Polytech Sch, Algiers, Algeria

来源：

DOKLADY PHYSICS | 2011年 / 56卷 / 03期

关键词：

Partial Solution; DOKLADY Physic; Satisfy Boundary Condition; Dimensional Boundary; Matrix Differential Operator;

D O I：

10.1134/S1028335811030037

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

A study was conducted to demonstrate the exact solution of the mixed boundary-value problem of the theory of elasticity for a wedge-shaped plate of finite length. The formulation of the problem corresponded to that of the spatially nonaxisymmetrical problems of the elasticity theory. A number of designations were introduced for constructing the exact solution of the problem under formulation. The known Lame equations were written in the cylindrical system of coordinates using these designations. The formulated problem is reduced to the set of Lame equations and boundary conditions and variables φ and z were sequentially excluded using suitable integral transforms to reduce the obtained three-dimensional boundary-value problem to one-dimensional.

引用

页码：167 / 173

页数：7