FORMULAÇÃO DINÂMICA NÃO LINEAR PARA ANÁLISE DE CASCAS LAMINADAS REFORÇADAS COM FIBRAS
Maria do Socorro Martins Sampaio1; Rodrigo Ribeiro Paccola1; Humberto Breves Coda1
1 Escola de Engenharia de São Carlos/USP
doi:10.20906/CPS/CILAMCE2015-0453
Resumo
A non-linear dynamic FEM formulation for the analysis of fiber-reinforced laminated shells is presented. To consider the continuum and fibers individual mechanical properties and naturally assembles the consistent reinforced media for dynamic analysis, a consistent mass matrix is developed for each fiber finite element. The achieved mass matrix is constant and the Newmark time integrator is adopted. Triangular laminated shell finite element with ten nodes and seven degrees of freedom per node are used to discretize matrix and any order one-dimensional finite elements with three degrees of freedom per node are used to discretize fibers. The geometrical nonlinear strategy is total Lagrangian and the Saint-Venant-Kirchhoff Constitutive Law is adopted to model the material. The nonlinear equilibrium equation is achieved from the Principle of Stationary Energy and the Newton-Raphson iterative procedure is used to solve the problem. To validate the proposed formulation, the present results are compared to reference values in which homogenized data was adopted for dynamic properties.
Palavras-chave: Nonlinear dynamic analysis; Fiber-reinforced laminated shells; Geometrically nonlinear analysis; Physical nonlinear analysis; Finite Element Method