Abstract: 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.

Key words: turbulent boundary layer, orthotropic cylindrical shells, random vibration, symplectic wave-based, axial compression