航空学报 > 1997, Vol. 18 Issue (5): 559-562

基于子结构消元法的柔性结构主动控制的研究

邓子辰   

  1. 西北工业大学, 710072
  • 收稿日期:1997-01-05 修回日期:1997-04-15 出版日期:1997-10-25 发布日期:1997-10-25

ACTIVE CONTROL RESEARCH ON FLEXIBLE MECHANISMS BASED ON SUBSTRUCTURAL CONDENSATION METHOD

Deng Zichen   

  1. Department 15, Northwestern Polytechnical University, Xi'an, 710072
  • Received:1997-01-05 Revised:1997-04-15 Online:1997-10-25 Published:1997-10-25

摘要:

由结构动力系统的微分方程出发,建立了主动控制的数学模型,在计算结构力学与最优控制模拟关系的基础上,采用结构力学中的子结构消元法和混合能概念建立了一套时段消元公式,进而对Riccati代数方程进行了有效的求解,从而给出了一套柔性结构主动控制的研究方法。

关键词: 柔性结构, Riccati方程, 子结构消元法

Abstract:

From the differential equation of a structural dynamic system, the mathematical model of active control is established, then based on the analogies between computational structural mechanics and optimal control, the substructural condensation method and mixed energy concept in structural mechanics are used, further a set of time interval condensation formulas are obtained, finally Riccati equation can be solved effectively. With the help of the above solution, a kind of method for the active control of flexible mechanisms is given.

Key words: flexible mechanisms, Riccati equation, substructural condensation method

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