1:10 PM - 1:25 PM
[22013-19-03] On Numerical Properties of Finite Element Procedures for Eigenvalue Analysis of Solid Vibration (Proceedings of Symposium on Applied Mechanics)
Keywords:Numerical Verification, Elasticity, Eigenvalue Analysis, Vibration, Exact Solution
This paper discusses numerical properties of finite element procedures for eigenvalue analysis of free vibration of elasticity. Exact solutions for a three-dimensional rectangular domain with the slip boundary condition, in which stationary modes of P-wave and S-wave can be obtained separately, are adopted for comparison with numerical solutions. Eigenvalue distributions of the finite element solutions are characterized in detail.