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Wave based method (WBM) for free vibration analysis of cross-ply composite laminated cylindrical shells with arbitrary boundaries

机译：基于波的方法（WBM）用于任意边界的多层复合层合圆柱壳的自由振动分析

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摘要

In this paper, the wave based method (WBM) is presented to analyze the free vibration of composite laminated cylindrical shells with general classical and elastic restrained boundaries. The Reissner-Naghid's theory is adopted to establish the equations of the motion force and moments, the displacement functions of composite laminated cylindrical shells are extended to wave functions which can accurately satisfy the equations of motion and boundary conditions. According to the kinetic relationship of the composite laminated cylindrical shell, the final equation of the composite shell will be obtained to calculate the free vibration results. To validate its accuracy, the vibration results of composite laminated cylindrical shells subject to various boundary conditions including the classical cases, elastic restraints and their combinations by WBM are compared with those published in the literature. The numerical values of the errors are used to prove the high precision and wide application of WBM. Furthermore, the effects of several important parameters, including boundary conditions, length to radius ratio, and elastic modulus on natural frequencies are discussed. Compared with other existing numerical methods, the present solution has the characteristics of complete matrix assembly and high calculation accuracy. When the boundary conditions change, only the initial parameters of the matrix need modifying to adapt.
机译：本文提出了基于波的方法（WBM）来分析具有一般经典和弹性约束边界的复合层合圆柱壳的自由振动。采用Reissner-Naghid理论建立运动力和力矩方程，将复合层合圆柱壳的位移函数扩展为可以精确满足运动和边界条件方程的波动函数。根据复合材料叠层圆柱壳的动力学关系，得到复合壳的最终方程，计算出自由振动结果。为了验证其准确性，将复合层压圆柱壳在各种边界条件（包括经典情况，弹性约束及其通过WBM组合）下的振动结果与文献中的结果进行了比较。误差的数值用于证明WBM的高精度和广泛应用。此外，还讨论了包括边界条件，长径比和弹性模量在内的几个重要参数对固有频率的影响。与其他现有的数值方法相比，该解决方案具有矩阵组装完整，计算精度高的特点。当边界条件改变时，仅矩阵的初始参数需要修改以适应。

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