Dynamic analysis of microbeams based on modified strain gradient theory using differential quadrature method

Singh, Sajal Sagar and Nair, Dipin K and Rajagopal, Amirtham and et al, . (2018) Dynamic analysis of microbeams based on modified strain gradient theory using differential quadrature method. European Journal of Computational Mechanics, 27 (3). pp. 187-203. ISSN 1779-7179

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Abstract

Dynamic analysis of microbeams based on the modified strain gradient elasticity theory (MSGT) is carried out in this study. MSGT theory comprises additional material length scale parameters to effectively capture the size effect. Beams with fixed-fixed, simply supported and fixed-free boundary conditions are analysed. Additionally, frequency analysis for beams based on modified coupled stress and continuum theory is also presented by neglecting one or more length scale parameters. Results obtained for various theories in the present analysis are compared with those available in literature. Differential quadrature method (DQM) is employed to perform the analysis. Two different techniques are presented for implementing different boundary conditions of beam. It is shown that frequencies obtained from the strain gradient theory are higher when compared to the frequencies predicted by modified coupled stress theory and classical theory, when beam thickness becomes comparable to the length scale parameter. Besides, we also show that implementation of DQM is simple, accurate and robust in solving vibrational problems of different nature.

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IITH Creators:

IITH Creators	ORCiD
Pal, Prem	UNSPECIFIED
Pandey, Ashok Kumar	UNSPECIFIED
Rajagopal, Amirtham	UNSPECIFIED

Item Type:

Article

Uncontrolled Keywords:

Microbeams, nanobeams, classical beam theory, modified strain gradient theory, modified coupled stress theory, differential quadrature method, linear frequency analysis, Indexed in Scopus

Subjects:

Physics > Mechanical and aerospace

Divisions:

Department of Physics

Depositing User:

Library Staff

Date Deposited:

17 Oct 2019 10:24

Last Modified:

17 Oct 2019 10:24

URI:

http://raiithold.iith.ac.in/id/eprint/6628