A THEORETICAL SOLUTION FOR AXIALLY SYMMETRIC PROBLEMS IN ELASTODYNAMICS
弹性动力学轴对称问题的理论解

The paper presents a theoretical solution for the basic equation of axial-ly symmetric problems in elastodynamics. The solution consists of a quasi-static solution which meets inhomogeneous boundary conditions and a dynamic solution which meets homogenerous boundary conditions. After the quasi-static solution has been solved, an inhomogenerous equation on dynamic solution is found from the basic equation. By making use of eigenvalue problem of homogenerous equation, the finite Hankel transform is defind. The dynamic solution which fulfils homogenerous boundary condition is obtained by means of the finite Hankel transform and Laplace transform. Thus, the theoretical solution is gained. Through an example of hollow circular cylinder, it is seen that the solving method, solving process and computing results are simple, useful and accurate.