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2011 | OriginalPaper | Chapter

5. Spectral Finite Element Method

Authors : Srinivasan Gopalakrishnan, Massimo Ruzzene, Prof. Sathyanarayana Hanagud

Published in: Computational Techniques for Structural Health Monitoring

Publisher: Springer London

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Abstract

This chapter presents the procedures for the development of various types of spectral elements. The chapter begins with basic outline of spectral finite element formulation and illustrates its utility for wave propagation studies is complex structural components. Two variants of spectral formulations, namely the Fourier transform-based, and Wavelet transform-based spectral FEM are presented for both 1D and 2D waveguides. A number of examples are solved using the formulated elements to show the effectiveness of the spectral FEM approach to solve problems involving high frequency dynamic response.

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Metadata
Title
Spectral Finite Element Method
Authors
Srinivasan Gopalakrishnan
Massimo Ruzzene
Prof. Sathyanarayana Hanagud
Copyright Year
2011
Publisher
Springer London
DOI
https://doi.org/10.1007/978-0-85729-284-1_5

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