Meshfree Galerkin method for a rotating Euler-Bernoulli beam

Panchore, V and Ganguli, R and Omkar, SN (2017) Meshfree Galerkin method for a rotating Euler-Bernoulli beam. In: International Journal for Computational Methods in Engineering Science and Mechanics, 19 (1). pp. 11-21.

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Abstract

In this article, we solve the free vibration problem of a rotating Euler-Bernoulli beam using the meshfree Galerkin method. Radial basis functions are used for interpolation. An improved formulation of the rotating Euler-Bernoulli beam free vibration problem with the Galerkin method is explained for the first time, which results into a symmetric stiffness matrix and gives a significant computational advantage over the formulation given in the existing literature. A conventional hp-version of Galerkin finite element method is used for comparison. Results are obtained at different non-dimensional rotating speeds of a rotating beam. Results show excellent agreement with the existing literature.

Item Type:	Journal Article
Publication:	International Journal for Computational Methods in Engineering Science and Mechanics
Publisher:	Bellwether Publishing, Ltd.
Additional Information:	The copyright for this article belongs to the Taylor & Francis Group, LLC.
Keywords:	Finite element method; Functions; Heat conduction; Image segmentation; Stiffness matrix; Vibration analysis, Computational advantages; Euler Bernoulli beams; Free vibration; Free vibration problem; Galerkin finite element methods; Meshfree; Radial basis functions; Rotating beam, Galerkin methods
Department/Centre:	Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Date Deposited:	14 Aug 2022 05:39
Last Modified:	14 Aug 2022 05:39
URI:	https://eprints.iisc.ac.in/id/eprint/75696

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