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Dynamic behavior analysis of cracked rotor based on harmonic motion

机译：基于谐波运动的裂纹转子动力学行为分析

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摘要

In the present study the additional slope and bending moment at crack position are used in analyzing the dynamic behavior of a general cracked rotor. The nonlinear motion of the cracked rotor, which results in the harmonic vibration, is simulated using the response including bending moment and the additional slope recursively. Even though the change of the orbit at the subcritical speed occurs, the magnitude of additional slope does not change if the crack-induced dynamic bending moment is smaller than the gravity-induced static bending moment at the corresponding critical speed range; the cause of the orbit change is the high value of the displacement influence coefficient at the corresponding critical speed. Only at the speed range where the dynamic bending moment is enough large to affect the total bending moment, the change of additional slope occurs with the speed change and it becomes one of the causes of the drastic orbit change. In the present research model, the orbit change due to the large dynamic bending moment as well as the high influence coefficient occurs at around subcritical speeds of the second critical speed. The continuous operation of the cracked rotor at such speed range having large dynamic bending moment may produce the fast crack propagation. And also it is analyzed that the second vibration mode happens when the speed closely approaches half of the second critical speed.
机译：在本研究中，裂纹位置处的附加斜率和弯矩用于分析一般裂纹转子的动力学行为。使用包括弯矩和附加斜率的响应，递归地模拟了裂纹转子的非线性运动，该运动导致谐波振动。即使在亚临界速度下发生了轨道变化，但如果在相应的临界速度范围内裂纹引起的动态弯曲力矩小于重力引起的静态弯曲力矩，则附加坡度的大小不会改变。轨道变化的原因是在相应的临界速度下位移影响系数的高值。仅在动态弯矩足够大以影响总弯矩的速度范围内，附加斜率的变化才随速度变化而发生，并且它成为轨道急剧变化的原因之一。在本研究模型中，由于大的动态弯矩以及较高的影响系数而引起的轨道变化发生在第二临界速度的亚临界速度附近。在具有大的动态弯曲力矩的这种速度范围内，裂化的转子的连续操作可以产生快速的裂纹扩展。并且还分析了当速度接近第二临界速度的一半时第二振动模式发生。

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