Based on reconstructing the phase space and calculating the largest Lyapunov exponent, an improved method of detecting chaotic motion is presented for rotor-bearing systems. The method is an improvement to the Wolf me...Based on reconstructing the phase space and calculating the largest Lyapunov exponent, an improved method of detecting chaotic motion is presented for rotor-bearing systems. The method is an improvement to the Wolf method and the Rosenstein algorithm. The improved method introduces the correlation integral function method to estimate the embedding dimension and the reconstruction delay simultaneously, and it makes tracks for the evolutions of every pair of the nearest neighbors to improve the utilization of the reconstructed phase space. Numerical calculation and experimental verification show that the improved method can estimate the proper reconstruction parameters and detect chaotic motion of rotor-bearing systems accurately. In addition, the analytical results show that the current approach is robust to variations of the embedding dimension and the reconstruction delay, and it is applicable to small data sets.展开更多
摆线泵转子的齿廓形状和加工精度决定了齿轮泵容腔的密封性,进而影响吸油和压油等运动特性。然而,转子的齿廓形状多是企业根据自身实际需求自行设计的,这就造成齿廓误差测量过程中的测量基准和设计基准不一致,测量结果更无法准确反映转...摆线泵转子的齿廓形状和加工精度决定了齿轮泵容腔的密封性,进而影响吸油和压油等运动特性。然而,转子的齿廓形状多是企业根据自身实际需求自行设计的,这就造成齿廓误差测量过程中的测量基准和设计基准不一致,测量结果更无法准确反映转子的齿廓加工质量。鉴于此,将企业设计的产品模型数据交互规范(Standard for the Exchange of Product model data, STEP)齿廓作为测量所必需的基准数据,在使用一维测头的国产齿轮测量中心上完成了转子齿廓的快速检测,采用重构及匹配等补偿处理方法,实现了摆线泵转子误差的精确评定。结果表明,该方法具有较好的柔性,对于复杂齿面的精确测量和评定具有重要的理论意义。展开更多
基金the National Basic Research Program (973) of China (No. 2009CB724302)
文摘Based on reconstructing the phase space and calculating the largest Lyapunov exponent, an improved method of detecting chaotic motion is presented for rotor-bearing systems. The method is an improvement to the Wolf method and the Rosenstein algorithm. The improved method introduces the correlation integral function method to estimate the embedding dimension and the reconstruction delay simultaneously, and it makes tracks for the evolutions of every pair of the nearest neighbors to improve the utilization of the reconstructed phase space. Numerical calculation and experimental verification show that the improved method can estimate the proper reconstruction parameters and detect chaotic motion of rotor-bearing systems accurately. In addition, the analytical results show that the current approach is robust to variations of the embedding dimension and the reconstruction delay, and it is applicable to small data sets.
文摘摆线泵转子的齿廓形状和加工精度决定了齿轮泵容腔的密封性,进而影响吸油和压油等运动特性。然而,转子的齿廓形状多是企业根据自身实际需求自行设计的,这就造成齿廓误差测量过程中的测量基准和设计基准不一致,测量结果更无法准确反映转子的齿廓加工质量。鉴于此,将企业设计的产品模型数据交互规范(Standard for the Exchange of Product model data, STEP)齿廓作为测量所必需的基准数据,在使用一维测头的国产齿轮测量中心上完成了转子齿廓的快速检测,采用重构及匹配等补偿处理方法,实现了摆线泵转子误差的精确评定。结果表明,该方法具有较好的柔性,对于复杂齿面的精确测量和评定具有重要的理论意义。
