A SPECTRAL ELEMENT FORMULATION FOR THE DYNAMIC ANALYSIS OF POLYGONAL THIN PLATES
Nivaldo Benedito Ferreira Campos1; José Maria Dos Santos1
1 UNICAMP
doi:10.20906/CPS/CILAMCE2015-0833
Resumo
The spectral element method (SEM) is a wave-based method well suited for dynamic analysis of structures at mid and high frequencies. In this method, the exact solution for the differential equation of the problem is used to obtain a dynamic stiffness matrix. These solutions, obtained as an infinite series truncated accordingly to the desired precision, are able to describe an infinite number of modes and are obtained by determining the unknown contribution of the wave factors, what is done by introducing the boundary conditions of the problem. If no discontinuities are present, SEM can model a concave domain with just one spectral element whose shape matches the domain boundary. In this work, a polygonal spectral element formulation for the analysis of thin plates with arbitrary boundary conditions and domain loading is presented, making it possible to use SEM to model plates with any polygonal shape. The results obtained are compared both with those from analytical solutions and from finite element models.
Palavras-chave: Wave-based Methods; Dinamic Stiffness Matrix Method; Treffz Methods; Thin Plates; Mid Frequencies