Based on the Precise Transfer Matrix Method (PTMM), the dynamic model is constructed to observe the vibration behaviour of cylindrical shells with variable thickness by solving a set of first-order differential equations. The free vibration of stiffened cylindrical shells with variable thickness can be obtained to compare with the exact solution and FEM results. The reliability of the present method of free vibration is well proved. Furthermore, the effect of thickness on the vibration responses of the cylindrical shell is also discussed. The acoustic response of immersed cylindrical shells is analyzed by a Pluralized Wave Superposition Method (PWSM). The sound pressure coefficient can be gained by collocating points along the meridian line to satisfy the Neumann boundary condition. The mode convergence analysis of the cylindrical shell is carried out to guarantee calculation precision. Also, the reliability of the present method on sound radiation is verified by comparing with experimental results and numerical results.

基于精确传递矩阵法（PTMM），通过求解一组一阶微分方程，建立了动力学模型，以观察厚度可变的圆柱壳的振动行为。可以得到厚度可变的加劲圆柱壳的自由振动，以与精确解和有限元结果进行比较。充分证明了本发明的自由振动方法的可靠性。此外，还讨论了厚度对圆柱壳振动响应的影响。沉入式圆柱壳的声响应通过多元波叠加法（PWSM）进行分析。通过沿子午线并置点以满足诺伊曼边界条件，可以获得声压系数。为了保证计算精度，对圆柱壳进行了模态收敛分析。此外，通过与实验结果和数值结果进行比较，验证了本方法在声辐射方面的可靠性。