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

Yasser Rostamiyan; A. Fereidoon; M. R. Davoudabadi; H. Yaghoobi; D.D. Ganji

doi:10.3390/mca15050816

You are currently viewing a new version of our website. To view the old version click .

Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Previous articles were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence, and they are hosted by MDPI on mdpi.com as a courtesy and upon agreement with Association for Scientific Research (ASR).

Article

31 December 2010

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

and

Department of Mechanical Engineering, Islamic Azad University, Sari Branch, Iran

Department of Mechanical Engineering, Semnan University, Semnan, Iran

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

Version Notes

Order Reprints

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)

Article Metrics

Citations

Article Access Statistics

Journal Statistics

Multiple requests from the same IP address are counted as one view.

Analytical Solution to Determine Displacement of Nonlinear Oscillations with Parametric Excitation by Differential Transformation Method

Cylindrical Microparticle Transport and Deposition from Electrokinetic Microflow in a 90 Degree Bend