ePrints@IIScePrints@IISc Home | About | Browse | Latest Additions | Advanced Search | Contact | Help

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.

[img] PDF
int_jou_com_met_eng_sci_mec_19-1_11-21_2018.pdf - Published Version
Restricted to Registered users only

Download (761kB) | Request a copy
Official URL: https://doi.org/10.1080/15502287.2017.1378772


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

Actions (login required)

View Item View Item