随机激励下导引头伺服机构动力学特性的研究

导引头伺服机构的动力学分析大多采用理想模型,较少考虑设计公差、制造误差、摩擦磨损等随机因素对系统动力学特性的影响,难以准确描述实际的动力学特性。因此建立了随机激励下伺服机构的非线性动力学模型,综合运用随机平均法和点插值无网格法推导和求解系统的随机动力学FPK(Fokker-Planck-Kolmogorov)方程,计算得到了伺服机构的随机动力学响应,并且研究了摩擦参数对系统随机响应统计特征的影响,以为评价伺服机构的动力学特性提供理论依据。

Dynamic behavior of a seeker servo mechanism under random excitation

Ideal models are usually used in dynamic analysis of a seeker servo mechanism, and the influences ofrandom factors, such as, design tolerance, mismatching tolerance and wear on the dynamic behavior of the system are sel-dom taken into account. So it is difficult to describe the actual dynamic behavior of the system correctly. Here, a nonlin-ear dynamic model of the servo mechanism under random excitation was established. The FPK (Fokker - Planck - Kolmog-orov) equations of the system were deduced and solved using the stochastic averaging method and the point - interpolation meshless method synthetically. Then, the random dynamic response was calculated and the influence of the friction param-eter on the system random response characteristic was studied. The results obtained could provide a theoretic foundation for evaluating dynamic behavior of a servo mechanism.