Study of Wave Propagation and Dynamic Response of Laminated Composite Structures

摘要

We conducted a fundamental study to investigate the dynamic behavior of laminatedstructures. Both finite element and analytical solutions were developed. Using a 48 degree-of-freedom shell finite element (FE) developed by Kapania and coworkers, the effect of arbitrary inplane and out-of-plane loads on the transverse vibrations of thin arbitrarily laminated panels with or without geometric imperfections was analyzed. The element was used to investigate the effect of geometric imperfections on geometrically nonlinear impact response of thin laminated plates and cylindrical panels using reduced basis methods. A FE model was also developed to study the linear and geometrically nonlinear transient behavior of laminated beams. A postprocessor was developed that can use the transverse displacements from a classical laminated plate theory (CLPT) or a first order shear deformation theory (FSDT) to determine the transverse normal and shear stresses. The nonlinear dynamic equations of the first-order shear deformation theory and the third-order shear deformation plate theory of Reddy was reformulated to describe the interior and edge zone problems of rectangular plates. A three-dimensional elasticity solution for the free vibration analysis of general cross-ply laminated plates has been carried out by combining Fourier series solution with a state space representation and the transfer matrix approach. A close theoretical examination have clarified the accuracy of the various single layer theories and a layerwise theory with the exact elasticity solution. Composite materials, Impact response, Imperfect plates, Plates, Reduced basis methods, Response due to short duration loads, Shells, Transverse effects.