MÉTODO RAYLEIGH-RITZ APLICADO À TEORIA DE ZIGZAG DE ALTA ORDEM PARA ANÁLISE ESTÁTICA DE VIGAS COMPÓSITAS LAMINADAS COM DIFERENTES CONDIÇÕES DE CONTORNO

Abstract

Laminated composite beams are structural elements that join layers with different materials to achieve the expected mechanical behavior. The zigzag theories seek to approximate such behavior, but most analyses are generally for simple supported beams. Thus, in this work, the Rayleigh-Ritz method is used to obtain the solution of the differential equation of the problem under analysis when several boundary conditions are considered. The accuracy in getting the displacement and stress fields when polynomial shape functions are used in the Rayleigh-Ritz method for the various boundary conditions adopted in this work is analyzed. The results generated by the approximate solution with a few terms in the series (m=8) proved sufficient to recover the answers from the reference values.

Keywords: composite materials, composite laminated beams, zigzag theory, Rayleigh-Ritz method.