Theoretical and Numerical Analysis Vibration Study of Isotropic Hyper Composite Plate Structural

In this work, a suggested analytical solution for dynamic analysis of hyper composite plate combined from two reinforcement finer, mat and powder or short and powder reinforcement fiber, with resin matrix, as polyester or epoxy resin, is presented. The theoretical study of hyper composite plate evaluated the natural frequency of plate with different volume fraction of reinforcement fiber and resin matrix effect and evaluated the effect of reinforcement fiber and resin types on the natural frequency of plate. The a suggested analytical solution included evaluated the mechanical properties of isotropic hyper composite material plate, combine from powder reinforcement and mat or short reinforcement fiber with polyester or epoxy resin matrix, as modulus of elasticity and modulus of rigidity in addition to Poisson’s ratio of hyper composite plate. And, solution for the general equation of motion for an isotropic hyper composite plate with effect of the volume fraction and types of reinforcement fiber and matrix resin. The results shown the natural frequency increasing with increasing of reinforcement fiber and increasing with increasing of strength reinforcement fiber or resin matrix but the natural frequency of hyper composite plate non-effect with increasing or decreasing (change) of powder reinforcement of hyper composite plate. A comparison made between analytical results from theoretical solution of general equation of motion of hyper composite plate, with different volume fraction and types of reinforcement fiber and resin matrix effect, with numerical solution, by ANSYS program Ver. 14, results, given good agreement with maximum error about 1.8% and minimum error about 0.75%.