Spectral Finite Element Method

Srinivasan Gopalakrishnan (), Massimo Ruzzene () and Sathyanarayana Hanagud ()
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Srinivasan Gopalakrishnan: Indian Institute of Science
Massimo Ruzzene: Georgia Institute of Technology
Sathyanarayana Hanagud: Georgia Institute of Technology

Chapter Chapter 5 in Computational Techniques for Structural Health Monitoring, 2011, pp 177-217 from Springer

Abstract: 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.

Keywords: Nodal Displacement; Lamb Wave; Spectral Element; Nodal Force; Group Speed (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:ssrchp:978-0-85729-284-1_5

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DOI: 10.1007/978-0-85729-284-1_5

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