针对湍流边界层作用下正交各向异性圆柱壳的随机振动问题，提出了基于辛空间波的随机振动分析方法。首先，根据湍流边界层半经验模型，将湍流边界层作用下正交各向异性圆柱壳的随机振动响应转化为简谐响应求解；其次，基于Kirchhoff-love薄壳理论，并结合Legendre变换，将Lagrange体系下轴压正交各向异性圆柱壳的弹性力学三大方程导入到Hamilton体系，形成统一的控制方程；并利用辛空间内的波传播分析求解正交各向异性圆柱壳的简谐响应；最后，利用线性微分方程解的叠加原理将状态向量和激励力展开，得到解的周向叠加形式，再结合辛正交关系和一阶线性微分方程的求解方式，求解得到简谐响应。相比于模态叠加法，本文方法能够解析地处理任意边界条件，且具有较高的收敛速度和计算精度。数值算例验证了本文方法的收敛性和有效性，并分析了轴压变化对正交各向异性圆柱壳随机振动响应的影响。

A symplectic wave-based method is proposed for the random vibration analysis of orthotropic cylindrical shells un-der turbulent boundary layer. Firstly, based on the semi-empirical model of turbulent boundary layer, the random vibration response of orthotropic cylindrical shells under turbulent boundary layer is transformed into harmonic re-sponse. Secondly, According to Kirchhoff-Love theory and Legendre transformation, The unified governing equation is obtained from the fundamental equations for orthotropic cylindrical shells under axial compression in the Lagran-gian system transferring into the Hamiltonian system. The harmonic response of orthotropic cylindrical shells is solved through wave propagation analysis. Finally, both the state vector and excitation are expanded to obtain cir-cumferential superposition form of the solution by applying the superposition principle of linear differential equation solutions. Combining symplectic orthogonality with the solution for first-order linear differential equations, the har-monic response is obtained. Compared with the modal superposition method, the proposed approach can analyti-cally handle arbitrary boundary conditions while higher convergence speed and computational accuracy. Numerical examples validate the convergence and effectiveness of the method, and the influence of axial compression varia-tions on the random vibration response of orthotropic cylindrical shells is analyzed.