Error Estimation for Finite Element Solutions to Structural Vibration Problems

摘要

In order to assess the accuracy of finite element solutions to structural vibration problems, an asymptotic type of error estimator for the finite element predicted natural frequencies of a structure is presented in this paper. After some asymptotic solutions to the finite element predicted natural frequencies are outlined for various types of structures, the asymptotic error concept and the related asymptotic error estimator are developed using the asymptotic solution. An example is given to show the correctness and applicability of the present asymptotic error estimator.