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Spectral Finite Element Method

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Computational Techniques for Structural Health Monitoring

Part of the book series: Springer Series in Reliability Engineering ((RELIABILITY))

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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Authors and Affiliations

  1. Department of Aerospace Engineering, Indian Institute of Science, Bangalore, 560012, India

    Srinivasan Gopalakrishnan

  2. School of Aerospace Engineering, School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA, 30332, USA

    Massimo Ruzzene

  3. School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA, 30332, USA

    Prof. Sathyanarayana Hanagud

Authors
  1. Srinivasan Gopalakrishnan
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  2. Massimo Ruzzene
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  3. Prof. Sathyanarayana Hanagud
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Corresponding author

Correspondence to Srinivasan Gopalakrishnan .

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© 2011 Springer-Verlag London Limited

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Gopalakrishnan, S., Ruzzene, M., Hanagud, S. (2011). Spectral Finite Element Method. In: Computational Techniques for Structural Health Monitoring. Springer Series in Reliability Engineering. Springer, London. https://doi.org/10.1007/978-0-85729-284-1_5

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  • DOI: https://doi.org/10.1007/978-0-85729-284-1_5

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  • Publisher Name: Springer, London

  • Print ISBN: 978-0-85729-283-4

  • Online ISBN: 978-0-85729-284-1

  • eBook Packages: EngineeringEngineering (R0)

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