ELASTODYNAMIC SOLUTION OF A NON-HOMOGENEOUS ORTHOTROPIC HOLLOW CYLINDER

• 来源期刊: 力学学报（英文版）
• 学科: 物理学
• 年，卷（期）: 2002,（6）
• 页码范围: 621-628
• 页数: 8页
• 分类号: O3
• 语种: 英文

摘要

A theoretical method for analyzing the axisymmetric plane strainelastodynamic problem of a non-homogeneous orthotropic hollow cylinder is devel-oped. Firstly, a new dependent variable is introduced to rewrite the governing equa-tion, the boundary conditions and the initial conditions. Secondly, a special functionis introduced to transform the inhomogeneous boundary conditions to homogeneousones. By virtue of the orthogonal expansion technique, the equation with respect tothe time variable is derived, of which the solution can be obtained. The displacementsolution is finally obtained, which can be degenerated in a rather straightforward wayinto the solution for a homogeneous orthotropic hollow cylinder and isotropic solidcylinder as well as that for a non-homogeneous isotropic hollow cylinder. Using thepresent method, integral transform can be avoided and it can be used for hollow cylin-ders with arbitrary thickness and subjected to arbitrary dynamic loads. Numericalresults are presented for a non-homogeneous orthotropic hollow cylinder subjected todynamic internal pressure.