VERIFICATION PROCEDURE FOR EIGENVALUE ANALYSIS OF VIBRATION OF ELASTIC CIRCULAR CYLINDER BY USING SPECIFIC P-WAVE MODES

Abstract

In this paper, the verification of a free vibration analysis of elasticity is discussed. An eigenvalue problem possessing solvable solutions is proposed for verification of the code and evaluation of numerical properties in real calculations. A homogenous and isotropic elastic material and cylindrical domain are employed and stationary modes of P-wave are considered as specific eigenmodes of vibration. A process to compare numerical solutions and exact ones proposed in this work is also presented and numerical properties of several finite element approximations are investigated.