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Dynamic behavior of Jeffcott rotors with an arbitrary slant crack orientation on the shaft

机译:轴上任意倾斜裂纹取向的Jeffcott转子的动态行为

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Dynamic behaviour of a Jeffcott rotor system with a slant crack under arbitrary crack orientations is investigated. Using concepts of fracture mechanics, flexibility matrix and stiffness matrix of the system are calculated. The system equations motion is obtained in four directions, two transversal, one torsional and one longitudinal, and then solved using numerical method. In this paper a symmetric relation for global stiffness matrix is presented and proved; whereas there are some literatures that reported nonsymmetrical form for this matrix. The influence of crack orientations on the flexibility coefficients and the steady-state response of the system are also investigated. The results indicate that some of the flexibility coefficients are greatly varied by increasing the crack angle from 30 deg to 90 deg (transverse crack). It is also shown that some of the flexibility coefficients take their maximum values at (approximately) 60 deg crack orientation.
机译:研究了在任意裂纹取向下具有倾斜裂纹的Jeffcott转子系统的动力学行为。利用断裂力学的概念,计算了系统的柔性矩阵和刚度矩阵。在四个方向(两个横向,一个扭转和一个纵向)上获得系统方程运动,然后使用数值方法求解。提出并证明了整体刚度矩阵的对称关系。而有些文献报道了该矩阵的非对称形式。还研究了裂纹取向对柔性系数和系统稳态响应的影响。结果表明,通过将裂纹角度从30度增加到90度(横向裂纹),一些挠性系数会发生很大变化。还表明,某些挠性系数在(约)60度裂纹取向处取其最大值。

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