A fast Fourier method for the dynamic analysis of linear structures with frequency dependent properties

The finite element method represents the most powerful approach for the dynamic analysis of structures. In connection with problem complexities, efficient algorithms are needed to obtain an economically acceptable solution. The present investigation is concerned with a method for the solution of the...

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Bibliographic Details
Published in:Zeitschrift für angewandte Mathematik und Mechanik 1983-01, Vol.63 (4), p.T 82-T 84
Main Author: Van Overmeire, M
Format: Article
Language:English
Online Access:Get full text
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Summary:The finite element method represents the most powerful approach for the dynamic analysis of structures. In connection with problem complexities, efficient algorithms are needed to obtain an economically acceptable solution. The present investigation is concerned with a method for the solution of the equilibrium equations in the frequency domain, instead of in the time domain. Depending on the scope of the analysis and the employed structural idealization, different mathematical formulations are used to describe the structural behavior. For practical applications, use is made of the discrete Fourier Transform (DFT). The Fast Fourier Algorithm (FFT) is utilized in the calculations. The proposed method provides efficient solutions for certain special applications. It is useful for linear elastic problems in which the excitation mechanism is affected by the properties of the involved medium.
ISSN:0044-2267