含有間隙的继电系統中周期振蕩的准确解
EXACT SOLUTION OF OSCILLATIONS IN RELAY SERVOMECHANISMS WITH BACKLASH
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摘要: 在崔普金理论的基础上,提出一种求解具有间隙的继电系统中强制振荡与自振荡参数的准确方法。同时亦讨论了间隙对周期现象的影响。所讨论的系统中,继电器具有理想继电特性(有回环及无回环);线性部分传递函数形如K/p(T1p+1)。得出了系统存在强制振荡及自振荡的参量域。Abstract: In this paper, an exact method to solve the forced oscillations and self-excited oscil-lations of relay servomechanisms with backlash is suggested based on the theory ofTsypkin. The effects of backlash on the periodic behavour of forced oscillations and self-excited oscillations are also discussed. In the system discussed, the relay has ideal charac-teristics with or without hysteresis loop; the linear part has transfer function of the formk/p(T1p+1). The parametric regions for the existence of forced and self-excited oscil-lations are obtained.
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