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首页> 外文会议>AMD-vol.256; American Society of Mechanical Engineers(ASME) International Mechanical Engineering Congress and Exposition; 20051105-11; Orlando,FL(US) >RESONANT DYNAMICS IN A ROTORDYNAMIC SYSTEM WITH NONLINEAR INERTIAL COUPLING AND SHAFT ANISOTROPY
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RESONANT DYNAMICS IN A ROTORDYNAMIC SYSTEM WITH NONLINEAR INERTIAL COUPLING AND SHAFT ANISOTROPY

机译：具有非线性惯性耦合和轴各向异性的转子动力系统中的共振动力学

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摘要

The response of a nonlinear, damped Jeffcott rotor with anisotropic stiffness is considered in the presence of an unbalance. For sufficiently small external torque or large imbalance, resonance capture or rotordynamic stall can occur, whereby the rotational velocity of the shaft is unable to increase beyond the fundamental resonance between the rotational and translational motion. This phenomena provides a mechanism for energy transfer from the rotational to the translational mode. Using the method of averaging a reduced-order model is developed, valid near the resonance, that describes this resonant behavior. The equilibrium points of these averaged equations, which correspond to stationary solutions of the original equations and rotor-dynamic stall, are described as the applied torque, damping, and anisotropy vary. As the anisotropy increases, assumed to arise from increasing shaft cracks, the torque required to eliminate the possibility of stall increases. However, when the system is started with zero initial conditions, the minimum torque required to pass through the resonance is approximately constant as the anisotropy increases. The predictions from the reduced-order model are verified against numerical simulations of the original equations of motion.
机译：在存在不平衡的情况下，考虑了具有各向异性刚度的非线性阻尼Jeffcott转子的响应。对于足够小的外部转矩或大的不平衡，可能会发生共振捕获或转子动力失速，从而轴的转速无法增加到超出旋转和平移运动之间的基本共振。这种现象提供了一种能量从旋转模式转移到平移模式的机制。开发了使用平均降阶模型的方法，该模型在共振附近有效，描述了这种共振行为。这些平均方程的平衡点对应于原始方程的固定解和转子动态失速，其描述为所施加的扭矩，阻尼和各向异性变化。随着各向异性的增加（假定是由于轴裂纹的增加而引起），消除失速可能性所需的扭矩也增加了。但是，当系统以零初始条件启动时，随着各向异性的增加，通过共振所需的最小扭矩近似恒定。相对于原始运动方程的数值模拟，验证了降阶模型的预测。

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