The present study focuses on to explore the dynamic analysis of a viscoelastic propeller-shaft system with transverse breathing crack supported by journal bearings. Finite element modelling of the shaft continuum is done considering the Euler-Bernoulli beam theory. Operator based constitutive relationship is applied to incorporate material damping of the rotor and higher-order equations of motion are established. Accurate time-dependent functions are used to formulate cracked element stiffness matrix and augmented to the overall stiffness matrix of the entire system. Eigen analysis is performed after converting the higher-order equation into the first-order form. A Comparative study is demonstrated based on different dynamic parameters like whirl frequency, modal damping factor and stability limit of spin speed. Further, the variation of stability limit of spin speed and natural frequency is also studied based on the parameters such as crack depth and its location along different section of the propeller shaft.

本研究的重点是探索由轴颈轴承支撑的具有横向呼吸裂纹的粘弹性螺旋桨轴系统的动力学分析。考虑到Euler-Bernoulli梁理论，对轴连续体进行了有限元建模。应用基于算子的本构关系来合并转子的材料阻尼，并建立了高阶运动方程。准确的时间相关函数用于制定裂纹单元刚度矩阵，并增加到整个系统的整体刚度矩阵。将高阶方程转换为一阶形式后进行特征分析。基于不同的动态参数（如旋转频率，模态阻尼因子和旋转速度的稳定性极限）进行了比较研究。进一步，