【摘要】 Jeffcott转子系统加减速通过临界转速时,将发生由频率随转速变化的谐激励力引起的瞬态不平衡响应.本文既采用脉冲响应函数和Duhamel积分解析求解此响应;又采用离散变转动角速度,以一系列定转动角速度为激励频率的转子全响应来近似表示该瞬态不平衡响应.通过数值模拟与比较,找出转子全响应代替瞬态不平衡响应的定性适用条件,即变速转子瞬态不平衡响应的准稳态条件,为使用有限个定转速的转子主动平衡操作来完成慢变速转子的主动平衡创造条件.更多还原

【Abstract】 When a Jeffcott rotor system accelerates or decelerates passing through its critical speeds, the system will have the transient unbalanced response caused by the harmonic excitation whose frequency changes with the rotating speed. The impulse response function and Duhamel integration method were (employed) to solve analytically for this response. On the other hand, with discretization of varying rotating speed, a series of general responses of the rotor in each time step with the harmonic excitation whose (frequency) is one of the finite discretized constant rotating speeds were employed to indicate approximately the transient response of the same rotor with varying rotating speed. Finally, by numerical simulation and comparison, an appropriate qualitative condition so called quasi steady-state condition for the transient (unbalanced) response of this speed-varying rotor system was found in which the latter can replace the former. It lays a foundation for one to use a series of active balancing operations of a Jeffcott rotor with one of the finite constant rotating speeds to conduct the active balancing of the same rotor with rotating speed varying slowly.更多还原