层合板, 固有频率, 高阶改进法, 数值分析

An improved higher order method was used in calculating the natural frequency of a laminated composite plate because general calculation method was complicated. By calculating the equation of kinetic energy and potential energy, an equation of free vibration of laminated plate was established using Hamilton's principle and calculated the natural frequencies of plates. The influences of the laying angles, thickness ratio and the cross-elastic modulus ratio on the frequency of laminated composite plate were analyzed. It is shown that the natural frequency of antisymmetric angle-ply laminated plates and antisymmetric cross-ply laminated plate can be calculated by using the algorithm, in addition, it is feasible to calculate the natural frequency of the random form of laying laminate.

laminated composite plate, natural frequency, refined higher-order theory, numerical analysis