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Finite Element Analysis of Rotating Beams pp 205–227Cite as

Spectral Finite Element Method

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Part of the book series: Foundations of Engineering Mechanics ((FOUNDATIONS))

Abstract

Spectral finite element method (SFEM) is an efficient technique for solving problems where the frequency content of the input signal is very high. The spectral formulation requires that the assembled system of equations be solved in the frequency domain and utilizes the Fast Fourier Transform (FFT) to transform the time domain responses to the frequency domain and back. Typically, SFEM uses the exact solution of the governing differential equation in the frequency domain as the interpolating function for element formulation. As a result, the spectral element treats the distribution of mass and rotational inertia of the structural element exactly. In general, for simple problems, only one spectral element needs be placed between any two joints, substantially reducing the total number of degrees of freedom in the system.

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Authors and Affiliations

  1. Department of Aerospace Engineering, Indian Institute of Science, Bengaluru, Karnataka, India

    Ranjan Ganguli

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  1. Ranjan Ganguli
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Correspondence to Ranjan Ganguli .

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Ganguli, R. (2017). Spectral Finite Element Method. In: Finite Element Analysis of Rotating Beams. Foundations of Engineering Mechanics. Springer, Singapore. https://doi.org/10.1007/978-981-10-1902-9_8

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  • DOI: https://doi.org/10.1007/978-981-10-1902-9_8

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-1901-2

  • Online ISBN: 978-981-10-1902-9

  • eBook Packages: EngineeringEngineering (R0)

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