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碰摩故障下的转子系统为高维非线性系统,为提高数值模拟的效率,减少仿真精度损失,对比标准Galerkin法(SGM)、非线性Galerkin法(NGM)和特征正交分解法(POD)对碰摩故障下的高维转子-滚动轴承系统降维的适应性。利用Runge-Kutta方法对原系统模型和降维模型在典型工况ω=1500rad/s时进行数值仿真,对比分析轴心轨迹图。结果表明:在较大碰摩间隙下,SGM、NGM以及POD法均能有效应用于系统的降维,但NGM和POD优于SGM法;在较小碰摩间隙下,非线性碰摩力增大,SGM与NGM降维方法失效,而POD法依然有效,其在处理碰摩故障下高维转子系统的强非线性问题时要优于SGM和NGM。利用POD法对碰摩故障下的高维转子系统进行降维处理,在保证仿真精度的同时能提高数值模拟的效率。
In order to improve the efficiency of numerical simulation and reduce the loss of simulation accuracy, the rotor system under rub-impact fault is a high-dimensional nonlinear system. Comparing with standard Galerkin method (SGM), nonlinear Galerkin method (NGM) and Orthogonal Decomposition (POD) Adaptability of Dimension Reduction in High Dimensional Rotor - Rolling Bearing System under Malfunction. The Runge-Kutta method is used to simulate the original system model and the dimensionality reduction model under the typical condition of ω = 1500 rad / s, and the axial trajectory is compared and analyzed. The results show that the SGM, NGM and POD methods can effectively reduce the dimensionality of the system under the large nibble, but NGM and POD are superior to the SGM method. Large, SGM and NGM dimensionality reduction methods fail, while the POD method is still valid, which is superior to SGM and NGM in dealing with the strong nonlinear problem of high dimensional rotor systems under rub-impact faults. The POD method is used to reduce the dimensionality of the high dimensional rotor system under the rubbing fault, which can improve the simulation efficiency and improve the numerical simulation efficiency.