Abstract:In order to study some application problems of stress wave propagation in engineering field and the lack and imperfection of traditional stress wave theory, according to the modified elastic stress wave theory, the volume wave equation under cylindrical coordinate system is established by tensor analysis. And the wave equation of the deformation wave, and the initial conditions and boundary conditions for solving the wave equation are also established. Then the difference equation is established by the finite difference method for the wave equation, and the strain equation is obtained by using the matlab to solve the wave equation according to the difference format. The space-time evolution propagation process of stress waves in a hollow cylinder can be obtained. Based on this, the relationship between volume wave and deformation wave is analyzed in the cylindrical coordinate system from the theoretical level and numerical solution. The influence of geometric model on stress wave propagation is also obtained in theory.