Spectral Tchebychev method for free vibration of composite laminated plates
GUO Chenchen1, LIU Tao1, WANG Qingshan2, QIN Bin3
1.Light Alloy Research Institute, Central South University, Changsha 410083, China;
2.State Key Lab of High Performance Complex Manufacturing, Central South University, Changsha 410083, China;
3.School of Traffic & Transportation Engineering, Central South University, Changsha 410075, China
Abstract：The two-dimensional spectral-Tchebychev (2D-ST) technique is used to analyze the free vibration of composite laminated plates under general boundary conditions. Based on the first-order shear deformation theory (FSDT), the boundary spring technique is used to simulate arbitrary boundary conditions, and the energy equation expression of composite laminated plates is derived. The energy equation is solved by the two-dimensional spectral-Tchebychev technique, and the free vibration characteristic equation of the composite laminated plates under arbitrary boundary conditions is obtained. In the numerical example, by comparing the calculation results with other methods, the convergence and accuracy of the proposed technique are verified. On this basis, the effect of elastic modulus ratio and laying angle on the vibration characteristics of composite laminated plates is studied.
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