1. 北京工业大学 机械与能源工程学院, 北京 100124
2. 海军工程大学, 湖北 武汉 430033
* 邮箱: dongshao@bjut.edu.cn
收稿:2024-09-02,
网络出版:2025-05-07,
纸质出版:2025-05-31
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吴洪瑞, 高国华, 邵东, 等. 复合材料圆柱壳随机动力学解析建模及分析[J]. 兵工学报, 2025,46(5):240761.
Hongrui WU, Guohua GAO, Dong SHAO, et al. Stochastic Dynamic Analytical Modeling and Analysis for the Composite Cylindrical Shells[J]. Acta Armamentarii, 2025, 46(5): 240761.
吴洪瑞, 高国华, 邵东, 等. 复合材料圆柱壳随机动力学解析建模及分析[J]. 兵工学报, 2025,46(5):240761. DOI: 10.12382/bgxb.2024.0761.
Hongrui WU, Guohua GAO, Dong SHAO, et al. Stochastic Dynamic Analytical Modeling and Analysis for the Composite Cylindrical Shells[J]. Acta Armamentarii, 2025, 46(5): 240761. DOI: 10.12382/bgxb.2024.0761.
随着复合材料圆柱壳在导弹发射、潜艇船舶等工程领域中的广泛应用
随机载荷引起的随机振动逐渐成为其动力学设计优化的重要考虑要素。使用1阶剪切壳理论和Hamilton原理构建壳体的运动控制方程
并通过人工虚拟弹簧施加边界条件
结合虚拟激励法与回传射线矩阵法
分离出广义解向量中的非齐次激励方程
推导出基底加速度和随机载荷激励下的统一矩阵列式
以完成对复合材料圆柱壳的随机动力学解析建模及求解。将计算的平稳/非平稳随机响应结果与有限元仿真进行比较
证明新解析模型的有效性。在此基础上
开展了一系列针对功率谱的工程算例
揭示了壳体厚径比、正交各项异性比以及铺层数量对圆柱壳随机振动响应的影响。
With the widespread application of composite cylindrical shells in engineering fields such as missile launch and submarines
the random vibration caused by random loads has gradually become an important consideration for their dynamic design optimization. The first-order shear shell theory and Hamilton’s principle are used to construct the motion control equations of the shell
and the boundary conditions are applied by artificial virtual springs. The pseudo-excitation method and the reverberation-ray matrix method are used to separate the non-homogeneous excitation equations in the generalized solution vector
and the unified matrix column formula under base acceleration and random load excitation is derived to complete the stochastic dynamic analytical modeling and solution of composite cylindrical shells. The calculated stationary/non-stationary random response results are compared with finite element simulations to prove the effectiveness of the proposed analytical model. On this basis
a series of engineering examples for power spectrum are developed to reveal the influences of shell thickness-to-diameter ratio
orthogonal anisotropy ratio and number of plies on the random vibration response of cylindrical shell.
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