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Poisson Theory of Plates with Fourier Sinusoidal Series

Vijayakumar, K and Ramaiah, GK (2021) Poisson Theory of Plates with Fourier Sinusoidal Series. [Book Chapter]

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Official URL: https://doi.org/10.1007/978-981-33-4210-1_6

Abstract

Analysis of elastic plates through the application of Poisson theory is quite sufficient for the practicing engineers even for thick plates. It involves solutions of Laplace, Poisson, and biharmonic equations (or their variants). In bending problems, solution of a complementary problem based on proper sinusoidal function based on Levy�s work is required to distinguish neutral and face plane deformations. This Levy�s work is extended here so as to generate sequence of 2-D problems without the need to use polynomial functions. © 2021, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

Item Type: Book Chapter
Publication: Springer Tracts in Mechanical Engineering
Series.: Springer Tracts in Mechanical Engineering
Publisher: Springer Science and Business Media Deutschland GmbH
Additional Information: The copyright for this article belongs to Springer Science and Business Media Deutschland GmbH
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Date Deposited: 21 Dec 2021 05:46
Last Modified: 21 Dec 2021 05:46
URI: http://eprints.iisc.ac.in/id/eprint/68230

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