Author(s)

Pascal Kuate Nkounhawa¹, Dieunedort Ndapeu², Bienvenu Kenmeugne³, Tibi Beda⁴

¹Department of Physics, Faculty of Sciences, University of Dschang, Dschang, Cameroon.
²Dschang University/IUT-FV Bandjoun, Dschang, Cameroon.
³National Advanced School of Engineering (ENSP), Yaounde Department of Industrial and Mechanical Engineering, University of Yaounde I, Yaounde, Cameroon.
⁴Department of Physics, Faculty of Sciences, University of Ngaoundere, Ngaoundere, Cameroon.

In the realization of mechanical structures, achieving stability and balance is a problem commonly encountered by engineers in the field of civil engineering, mechanics, aeronautics, biomechanics and many others. The study of plate behavior is a very sensitive subject because it is part of the structural elements. The study of the dynamic behavior of free vibration structures is done by modal analysis in order to calculate natural frequencies and modal deformations. In this paper, we present the modal analysis of a thin rectangular plate simply supported. The analytical solution of the differential equation is obtained by applying the method of separating the variables. We are talking about the exact solution of the problem to the limit values. However, numerical methods such as the finite element method allow us to approximate these functions with greater accuracy. It is one of the most powerful computational methods for predicting dynamic response in a complex structure subject to arbitrary boundary conditions. The results obtained by MEF through Ansys 15.0 are then compared with those obtained by the analytical method.

Free Vibration, Vibration Modes, Modal Analysis, Natural Frequencies, Modal Deformations, Thin Rectangular Plate, Finite Element Method (FEM)

Nkounhawa, P. , Ndapeu, D. , Kenmeugne, B. and Beda, T. (2020) Analysis of the Behavior of a Square Plate in Free Vibration by FEM in Ansys. World Journal of Mechanics, 10, 11-25. doi: 10.4236/wjm.2020.102002.