Modeling and Simulation of Vibrations of Non-Homogeneous Annular Plate of Quadratic Thickness Resting on Elastic Foundation
Robin1, N. Dhiman2, A. Chauhan3, M. Dhiman14
1Robin, N. Dhiman, Department of Mathematics, Graphic Era Hill University, Dehradun, India.
2A. Chauhan, Graphic Era Deemed to be University, Dehradun, India.
3M. Dhiman, Department of Mathematics, Graphic Era Hill University, Dehradun, India.
4N. Dhiman, Department of Mathematics, Graphic Era Hill University, Dehradun, India.
Manuscript received on 13 October 2019 | Revised Manuscript received on 20 October 2019 | Manuscript Published on 29 June 2020 | PP: 61-65 | Volume-8 Issue-10S2 August 2019 | Retrieval Number: J101408810S219/2019©BEIESP | DOI: 10.35940/ijitee.J1014.08810S219
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open-access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: Mathematical modeling is presented to analyze natural frequencies of vibrations of an isotropic annular plate of quadratic varying thickness resting on Winkler type elastic foundation where numerical simulation is carried out using quintic spline technique for three different combinations of edge conditions. Effect of elastic foundation, together with non-homogeneity variation, on the natural frequencies of vibration is illustrated for variety of thickness variation for the first three modes. To compare parametric effect on a specific plate, transverse displacements are presented in normalized form. Accuracy of the results and validity of numerical method is demonstrated by comparing the existing results in the literature.
Keywords: Quintic Spline, Elastic Foundation, Non-Homogeneity, Annular plate, Quadratic Thickness
Scope of the Article: