【摘要】 实际生产过程中,高速转子由于受不平衡力矩作用,会产生非平面运动。通过数值仿真和实验,研究非平面运动球式自动平衡装置过临界转速下的运动特性。运用病态性探测实现数值仿真过程中刚性方法(ω方法)与非刚性方法 (RK-45法)的自动切换。从而解决非平面运动球式自动平衡装置病态微分方程组的数值仿真与计算问题。通过对球式自动平衡实验台的实验研究验证了数值仿真与数学模型的正确性,并得出球式自动平衡装置对做非平面运动的转子的平面振动和空间转动都有很好的抑制作用和减振效果的结论。数值仿真算法在多体问题中具有借鉴意义。更多还原

【Abstract】 In practical production,high speed rotors will produce the non-plane motion due to unbalance torques. In this paper,through numerical simulation and experiment,kinematic characteristics of non-plane ball type automatic balancing devices under the critical speed are studied. Using the ill-conditioned detection method,automatic switching between the stiff method(ω method) and the non-stiff method(RK-45 method) in the numerical simulation is realized. The corresponding ill-conditioned differential equations of the ball-type automatic balance device with non-plane motion are solved. The correctness of the mathematical model and numerical simulation results is verified through experiments. It is concluded that the ball-type automatic balance device has a good damping effect for the planar vibration and spatial rotation of the rotors with non-plane motion. The numerical simulation algorithm has reference significance for multi-body problem analysis.更多还原