中文摘要：

采用传递矩阵法,将船舶推进轴系简化为质量点单元、弹性支承单元和具有分布参数的梁单元.基于修正的Timoshenko 梁理论,推导出推进轴系的场传递矩阵表达式.然后,引入相应的边界条件,形成方程组并实现不同轴承刚度下推进轴系轴承处的力和位移响应求解.最后,从能量的角度,对推进轴系各轴承传递路径处的功率流进行分析,并与有限元结果比较.结果表明：基于修正Timoshenko 梁理论的传递矩阵法在计算推进轴系弯曲振动时是可行有效的;艉后轴承刚度对轴系振动传递影响最大,艉前轴承次之,推力轴承影响最小.

英文摘要：

The matrix transfer method was used to analyze the vibration transmission paths in the ship propulsion shafting. First of all, the ship propulsion shafting was simplified to concentrated mass elements, elastic supporting elements and the beam elements with the distributed parameters. And the expression of the field transfer matrix of the ship propulsion shafting was deduced based on the modified Timoshenko beam theory. Then, the corresponding boundary conditions were introduced, and the solution of the bearing force and the displacement response of the propulsion shafting were obtained. Finally, the power flow of each bearing of the propulsion shafting was analyzed numerically from the perspective of energy and compared with the result of FEA approach. The results show that the matrix transfer method based on the modified Timoshenko beam theory is feasible and effective to calculate the propulsion shafting bending vibration. And the aft stern bearing stiffness has the largest influence on the transmission path, followed by the front stern bearing and the thrust bearing.