Validação de um modelo numérico da vibração de uma placa metálica retangular simplesmente apoiada

Abstract

The main objective of the vibration study refers to the determination of its effects over the structure and mechanical systems performance and safety, for the control of these effects. Several structures are partial or integrally composed by plates, which are light, versatile and economic components, and the increase in applications of this kind of structures has been remarkable in recent decades, especially in the aerospace industry. In this way, the present work demonstrates the analysis study of a rectangular plate vibration that is simply supported in its four edges with the intention of validate a numerical model which properly represents the theory. For this purpose, firstly, the calculation procedures were carried out to obtain the governing differential equation of the plate. From this analytical solution, which is exact for the plate with the boundary conditions under discussion, the natural frequencies, the mode vibration and the answer of the plate to external excitations were determined. After that, the numerical modeling of the plate was held and, with the obtained results, the analytical and numerical solutions were compared. The validation of the numerical model used was concluded for all the desired researched parameters and in addition it was proposed throughout the project the development of an experimental analysis in a future work to the comparison with the presented results and to the didactic utilization in the classes taught at the Acoustics and Vibrations Laboratory from the Federal University of Uberlandia.