http://repository.iitr.ac.in/handle/123456789/23907| Title: | Effect of Foundation on Free Vibration of Tapered Functionally Graded Material Plate |
| Authors: | Kumar V. Singh S.J. Saran, V. Huzur Harsha, Suraj Prakash Saran V.H. Misra R.K. |
| Published in: | Lecture Notes in Mechanical Engineering 43rd National Systems Conference on Innovative and Emerging Trends in Engineering Systems, NSC 2019 |
| Abstract: | In this study, the effect of the foundation on free vibration of a tapered functionally graded material plate is presented. Simply supported tapered FGM plate is resting on a two-parameter elastic foundation (Winkler and Pasternak). A non-polynomial shear deformation theory which accurately satisfies the boundary condition on the top and bottom surface of the plate is used in the present formulation. The material properties varying in thickness direction follow a simple power law. The equation of motion for the rectangular tapered functionally graded material (P-FGM) plate is derived using Hamilton principle, and analytical solution of free vibration is obtained by Galerkin–Vlasov’s method. The influences of foundation on various parameters like plate aspect ratio, taper ratio, and volume fraction exponent are studied. The numerical results are verified with the available results in past studies. © 2021, Springer Nature Singapore Pte Ltd. |
| Citation: | Lecture Notes in Mechanical Engineering (2021): 889-904 |
| URI: | https://doi.org/10.1007/978-981-15-8025-3_84 http://repository.iitr.ac.in/handle/123456789/23907 |
| Issue Date: | 2021 |
| Publisher: | Springer Science and Business Media Deutschland GmbH |
| Keywords: | Elastic foundation Free vibration Shear deformation theory Tapered rectangular plate |
| ISBN: | 9.79E+12 |
| ISSN: | 21954356 |
| Author Scopus IDs: | 25646515800 56258512400 6507475582 6603548398 |
| Author Affiliations: | Kumar, V., Mechanical and Industrial Engineering Department, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand, 247667, India Singh, S.J., Mechanical Engineering Department, Pandit Deendayal Petroleum University, Gandhinagar, Gujarat, 382009, India Saran, V.H., Mechanical and Industrial Engineering Department, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand, 247667, India Harsha, S.P., Mechanical and Industrial Engineering Department, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand, 247667, India |
| Corresponding Author: | Kumar, V.; Mechanical and Industrial Engineering Department, India; email: vineetrana81@gmail.com |
| Appears in Collections: | Conference Publications [ME] |
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