SAINT-VENANT PROBLEM FOR SOLIDS WITH HELICAL RHOMBOHEDRAL ANISOTROPY. TENSION-TORSION PROBLEMS

被引:0
|
作者
Vatulyan, K. A. [1 ]
Ustinov, Yu. A. [1 ]
机构
[1] S Fed Univ, Rostov Na Donu 344006, Russia
基金
俄罗斯基础研究基金会;
关键词
Saint-Venant problem; stiffness; helical anisotropy; sweep method;
D O I
10.1007/s10808-010-0017-y
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
By methods of homogeneous solutions and the spectral theory of operators, the construction of solutions of the Saint-Venant problems of tension-torsion of a cylindrical tube with helical anisotropy is reduced to integration of boundary-value problems for ordinary differential equations with variable coefficients. The solutions are constructed by analytical and numerical methods. Elements of the stiffness matrix and the stress-strain state are analyzed, depending on the problem parameter.
引用
收藏
页码:106 / 113
页数:8
相关论文
共 35 条