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Physics Based Basis Functions

Ganguli, Ranjan (2016) Physics Based Basis Functions. [Book Chapter]

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Official URL: https://doi.org/10.1007/978-981-10-1902-9_5


We have seen from the previous chapters that the convergence of finite element methods can be improved if we assume basis functions which will closely resemble the displacement variation in the physical problem (Chakraborty et al. Int J Mech Sci 45(3):519–539, 2003) [3], (Cook et al. Concepts and applications of finite element analysis, 2002) [4], (Reddy, An introduction to the finite element method, 1993) [10]. The stiffness matrix for dynamic analysis of any structural system is the same as that in static analysis. Hence a very good choice for basis functions is one which satisfies the static part of the governing partial differential equation.

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 New York LLC
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Date Deposited: 25 May 2022 05:13
Last Modified: 25 May 2022 05:13
URI: https://eprints.iisc.ac.in/id/eprint/72623

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