Comparison between continuous and discrete frequency domain solution methods for structural steady state calculations with the finite element method

Abstract

Purpose

Different solution methods, using finite element method in continuous and discrete frequency domain, are compared with each other in order to find the most appropriate method for the estimation of steady state vibrations in linear structural and mechanical problems. The purpose of this paper is to describe the procedures.

Design/methodology/approach

The continuous and some relevant discrete frequency domain solution methods are compared by an analytical investigation as well as by the numerical examination of a simple model. Finally, results for a more relevant example using finite elements are presented.

Findings

It is shown that the steady state computation using the continuous frequency domain system description delivers the exact solution for a given system.

Originality/value

Based on the presented results, the use of continuous frequency domain system description is recommendable in most cases.

Citation

Rainer O. Bíró, S. and Stermecki, A. (2009), "Comparison between continuous and discrete frequency domain solution methods for structural steady state calculations with the finite element method", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 28 No. 4, pp. 1068-1080. https://doi.org/10.1108/03321640910959116