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APPLICATION OF THE POD METHOD FOR CRACKED ROTORS

机译:POD方法在裂纹转子中的应用

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摘要

The application of the proper orthogonal decomposition (POD) method to the vibration response of a cracked Jeffcott rotor model is investigated here. The covariance matrices of horizontal and vertical whirl amplitudes are formulated based on the numerical integration response and the experimental whirl response, respectively, for the considered cracked rotor system. Accordingly, the POD is directly applied to the obtained covariance matrices of the numerical and experimental whirl amplitudes where the proper orthogonal values (POVs) and the proper orthogonal modes (POMs) are obtained for various crack depths, unbalance force vector angles and rotational speeds. It is observed that both POVs and their corresponding POMs are highly sensitive to the appearance of the crack and the unbalance angle changes at the neighborhoods of the critical. The sensitivity zones of the POVs and POMs to the crack propagation coincide with the unstable zones of the cracked system obtained by Flo-quets theory.
机译:本文研究了适当的正交分解(POD)方法在裂纹Jeffcott转子模型的振动响应中的应用。对于考虑的裂纹转子系统,分别基于数值积分响应和实验旋转响应,分别制定了水平和垂直旋转幅度的协方差矩阵。因此,将POD直接应用于获得的数值和实验涡旋幅度的协方差矩阵,其中针对各种裂纹深度,不平衡力矢量角度和旋转速度获得了适当的正交值(POV)和适当的正交模式(POM)。可以看出,POV及其对应的POM对裂纹的外观非常敏感,并且在临界点附近的不平衡角度也发生了变化。 POV和POM对裂纹扩展的敏感区与通过Flo-quets理论获得的裂纹系统的不稳定区一致。

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