This paper presents the random free vibration response of laminated composite and sandwich plates using inverse hyperbolic zigzag theory. Recently developed inverse hyperbolic zigzag plate model by authors satisfies the inter-laminar continuity of transverse shear stresses at layer interfaces. The uncertainties induced in the system parameters are accounted by employing first-order perturbation technique in conjunction with the deterministic finite element method. The second-order statistics of natural frequency of the laminated composite and sandwich structures is obtained considering the material properties of the structures to be random in nature. The random natural frequency results are obtained in terms of mean and standard deviations of the responses for different values of span-to-thickness ratios, geometric parameters, stacking sequence, and boundary conditions. The evaluated results are ensured by comparing with those existing in the literature and with independent Monte Carlo simulation results obtained in the framework of random free vibration analysis of laminated composite and sandwich plates using inverse hyperbolic zigzag theory.

本文介绍了使用反双曲曲折理论的层压复合板和夹层板的随机自由振动响应。作者最近开发的反双曲锯齿形板模型满足层界面横向剪切应力的层间连续性。通过使用一阶微扰技术结合确定性有限元方法来考虑系统参数中引起的不确定性。考虑到结构的材料特性本质上是随机的，获得了层状复合材料和夹层结构的固有频率的二阶统计量。随机固有频率结果是根据不同跨厚比值、几何参数、堆叠顺序、和边界条件。通过与文献中存在的那些以及在使用反双曲曲折理论的层压复合材料和夹层板的随机自由振动分析框架中获得的独立蒙特卡罗模拟结果进行比较来确保评估结果。