تحلیل ارتعاشات آزاد ورق تاخورده مواد مدرج تابعی بر اساس نظریه تغییر شکل برشی مرتبه اول

This study investigated the vibrations of the folded plate made of functionally graded materials. Functionally graded materials are relatively new and advanced materials with a heterogeneous structure whose mechanical properties change continuously from one surface to another. Folded plates are widely used in the industry due to their low manufacturing costs. Among the applications that folded plates have recently found, is the use of folded plates in constructing stealth aircraft. First, the elastic constants and density of the folded plate made of graded materials were considered functionally. Using Hamilton's principle, the governing dynamic equations and boundary conditions at the edges were obtained for two separate plates. Considering the continuity conditions in the folded edge, the governing equations, boundary conditions, and continuity equations are intertwined. These equations were solved by using the combination method of the Levy-differential quadrature method, and by solving the eigenvalue problem, the natural frequencies of the folded plate of functionally graded materials were obtained. The folded plate of functionally graded material was analyzed in simulation software based on finite elements. Comparing the finite element results with the combined solution of the Levy-differential quadrature method showed that the mathematical modeling of this problem and the analytical solution method have good accuracy.