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Article

Analytical Approach to Investigation of Deflection of Circular Plate Under Uniform Load by Homotopy Perturbation Method

by
Yasser Rostamiyan
1,*,
A. Fereidoon
2,
M. R. Davoudabadi
2,
H. Yaghoobi
2 and
D.D. Ganji
3,*
1
Department of Mechanical Engineering, Islamic Azad University, Sari Branch, Iran
2
Department of Mechanical Engineering, Semnan University, Semnan, Iran
3
Department of Mechanical Engineering, Babol University of Technology Babol, P. O. Box 484, Iran
*
Authors to whom correspondence should be addressed.
Math. Comput. Appl. 2010, 15(5), 816-821; https://doi.org/10.3390/mca15050816
Submission received: 31 December 2010 / Accepted: 31 December 2010 / Published: 31 December 2010
Versions Notes

Abstract

In this paper Homotopy-Perturbation method (HPM) is introduced to obtain the approximate solution of the governing differential equation of deflection of thin circular plate under uniform loads with two different types of boundary conditions. The edge of the plate is either simply supported or clamped and the plate is assumed to be geometrically perfect. He's Homotopy-Perturbation method is implemented for solving the differential equations. From comparison the results obtained that HPM is very rapid convergence and it can be widely applicable in engineering and especially for the cases have not exact solution, this method can be used as semi-exact solution. The results for both types of boundary conditions were compared with the results obtained by finite element method and exact solution.
Keywords: homotopy perturbation method (HPM); circular plate; clamped edges; simply supported edges; Deflection; uniform load; finite element method (FEM) homotopy perturbation method (HPM); circular plate; clamped edges; simply supported edges; Deflection; uniform load; finite element method (FEM)

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MDPI and ACS Style

Rostamiyan, Y.; Fereidoon, A.; Davoudabadi, M.R.; Yaghoobi, H.; Ganji, D.D. Analytical Approach to Investigation of Deflection of Circular Plate Under Uniform Load by Homotopy Perturbation Method. Math. Comput. Appl. 2010, 15, 816-821. https://doi.org/10.3390/mca15050816

AMA Style

Rostamiyan Y, Fereidoon A, Davoudabadi MR, Yaghoobi H, Ganji DD. Analytical Approach to Investigation of Deflection of Circular Plate Under Uniform Load by Homotopy Perturbation Method. Mathematical and Computational Applications. 2010; 15(5):816-821. https://doi.org/10.3390/mca15050816

Chicago/Turabian Style

Rostamiyan, Yasser, A. Fereidoon, M. R. Davoudabadi, H. Yaghoobi, and D.D. Ganji. 2010. "Analytical Approach to Investigation of Deflection of Circular Plate Under Uniform Load by Homotopy Perturbation Method" Mathematical and Computational Applications 15, no. 5: 816-821. https://doi.org/10.3390/mca15050816

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