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Time domain spectral element-based wave finite element method for periodic structures

Mukherjee, S and Gopalakrishnan, S and Ganguli, R (2021) Time domain spectral element-based wave finite element method for periodic structures. In: Acta Mechanica .

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Official URL: https://doi.org/10.1007/s00707-020-02917-y


In this work, a time domain spectral element-based wave finite element method is proposed to analyze periodic structures. Time domain spectral element-based formulation reduces the total degrees of freedom and also renders a diagonal mass matrix resulting in substantial reduction in computation time for the wave finite element method. The formulation is then considered to obtain the stop band characteristics for a periodic bar and a Timoshenko beam considering geometric as well as material periodicity. The impact of geometric parameters on the stop bands of 1-D structures is then investigated in detail. It is shown that the stop bands can be obtained in the frequency range of interest, and its width can be varied by tuning those geometric parameters. Also, the effect of material uncertainty is studied in detail on the stop band characteristics of periodic 1-D structures, and the same formulation is utilized for Monte Carlo simulations. Results show that randomness in density influences more the bandwidth of the stop bands than that of elastic parameters. © 2021, The Author(s), under exclusive licence to Springer-Verlag GmbH, AT part of Springer Nature.

Item Type: Journal Article
Publication: Acta Mechanica
Publisher: Springer
Additional Information: The copyright for this article belongs to Springer
Keywords: Degrees of freedom (mechanics); Finite element method; Geometry; Monte Carlo methods; Periodic structures, Computation time; Elastic parameters; Frequency ranges; Material uncertainty; Stop band characteristics; Substantial reduction; Timoshenko beams; Wave finite element methods, Time domain analysis
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Date Deposited: 19 Apr 2021 11:28
Last Modified: 19 Apr 2021 11:28
URI: http://eprints.iisc.ac.in/id/eprint/68649

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