Cracks in disc components can significantly reduce their service life. Most existing studies on cracked discs assume predefined crack paths (such as tangential or radial cracks) and rarely analyze the stress of the cracked disc during vibration. Additionally, dynamic models of the disc typically involve a significant number of degrees of freedom, resulting in substantial computational time when calculating the stress response. To address these issues, this paper conducts vibration experiments to determine the crack paths in discs and develops a reduced-order dynamic model of the disc with breathing crack based on shell theory. The proposed model in calculating stress is validated through comparison with the experimental results. Finally, the actual crack paths are introduced into the dynamic model, and the dynamic stress variation of the disc during crack propagation is studied by simulation and experiment. The results show that the crack in the disc exhibits the breathing effect during propagation, which induces nonlinear vibration of the disc. Moreover, as the crack propagates, the maximum stress at the disk root gradually decreases, and the decreasing rate becomes slower and slower. In contrast, the maximum stress at the crack tip decreases linearly.

中文翻译：

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考虑实际裂纹路径的圆盘动态应力分析：实验和模拟


圆盘部件的裂纹会显著缩短其使用寿命。大多数现有的裂纹盘研究都假设预定义的裂纹路径（例如切向或径向裂纹），并且很少分析裂纹盘在振动过程中的应力。此外，圆盘的动力学模型通常涉及大量的自由度，因此在计算应力响应时需要大量的计算时间。针对这些问题，本文通过振动实验确定了圆盘中的裂纹路径，并基于壳理论建立了具有呼吸裂纹的圆盘的降阶动力学模型。通过与实验结果的比较，验证了所提出的应力计算模型的有效性。最后，将实际的裂纹路径引入动力学模型中，并通过仿真和实验研究了圆盘在裂纹扩展过程中的动态应力变化。结果表明：圆盘中的裂纹在传播过程中表现出呼吸效应，从而引起圆盘的非线性振动。此外，随着裂纹的扩展，盘根处的最大应力逐渐减小，下降速率越来越慢。相反，裂纹尖端处的最大应力呈线性减小。