Dynamic and Static Behavior of Arbitrarily Shaped Laminated Composite Plates via Strong Formulation Finite Element Method

The problem of thin and thick plates has been historically solved considering simple geometries. However, quite often, real geometries are not regular and analytical solutions cannot be applied. Therefore, this presentation shows the vibration control and the stress recovery procedure of arbitrarily shaped multilayered plates. This approach is related to the one adopted by the Finite Element Method (FEM). Unlike FEM, that solves the weak formulation of the problem, the proposed technique discretizes the strong formulation of the dierential system. Here, the Generalized Dierential Quadrature (GDQ) method is considered for the evaluation of the partial derivatives of the unknown eld variables. A domain is divided into several elements according to the problem geometry and within a mapping technique. GDQ method is applied at the master element level. The accuracy of the Strong Formulation Finite Element Method (SFEM) is investigated and compared with the results obtained through FEM codes. The used recovery procedure follows the theory presented in the works [1,2].