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Spectral Finite Element Method

In: Computational Techniques for Structural Health Monitoring

Author

Listed:
  • Srinivasan Gopalakrishnan

    (Indian Institute of Science)

  • Massimo Ruzzene

    (Georgia Institute of Technology)

  • Sathyanarayana Hanagud

    (Georgia Institute of Technology)

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.

Suggested Citation

  • Srinivasan Gopalakrishnan & Massimo Ruzzene & Sathyanarayana Hanagud, 2011. "Spectral Finite Element Method," Springer Series in Reliability Engineering, in: Computational Techniques for Structural Health Monitoring, chapter 0, pages 177-217, Springer.
  • Handle: RePEc:spr:ssrchp:978-0-85729-284-1_5
    DOI: 10.1007/978-0-85729-284-1_5
    as

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