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Spectral Finite Element Method

Ganguli, Ranjan (2016) Spectral Finite Element Method. [Book Chapter]

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Official URL: https://doi.org/10.1007/978-981-10-1902-9_8


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.

Item Type: Book Chapter
Series.: Foundations of Engineering Mechanics
Publisher: Springer New York LLC
Additional Information: The Copyright of this article belongs to the Springer
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Date Deposited: 27 May 2022 04:49
Last Modified: 31 May 2022 05:03
URI: https://eprints.iisc.ac.in/id/eprint/72626

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