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

Rajagopal, Amirtham and Nair, Dipin K and Singh, Sajal Sagar (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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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 CreatorsORCiD
Rajagopal, AmirthamUNSPECIFIED
Pandey, Ashok KumarUNSPECIFIED
Item Type: Article
Uncontrolled Keywords: Indexed in Scopus
Subjects: Physics > Mechanical and aerospace
Divisions: Department of Mechanical & Aerospace Engineering
Depositing User: Library Staff
Date Deposited: 23 Oct 2019 04:52
Last Modified: 23 Oct 2019 04:52
URI: http://raiith.iith.ac.in/id/eprint/6529
Publisher URL: http://doi.org/10.1080/17797179.2018.1485338
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