Random vibro-acoustic analysis of thick laminated cylindrical shells under turbulent boundary layer via symplectic wave-based method

The symplectic wave-based method is developed for the random vibro-acoustic analysis of laminated cylindrical shells under turbulent boundary layer. First, based on the semi-empirical model of the turbulent boundary layer, the random vibration response of laminated cylindrical shells under turbulent boundary layer is transformed into the superposition of a series of steady-state response. Secondly, the governing equations for the vibration analysis of laminated cylindrical shells in the Hamiltonian system are established based on the first-order shear deformation theory, and the steady-state response of the laminated cylindrical shell is solved using wave propagation analysis in the symplectic system. Finally, the sound pressure spectrum inside the cylindrical shell cavity is obtained from the vibration response of the laminated cylindrical shell structure according to the Kirchhoff-Helmholtz integral. Compared to the modal decomposition method, the proposed method can analytically handle arbitrary boundary conditions with higher convergence speed and computational accuracy. Numerical examples validate the convergence and effectiveness of the proposed method, and the influence of axial pressure on the random vibro-acoustic response of laminated cylindrical shells is analyzed.