期刊文献+

循环双周期系统控制方程的解耦

Uncoupling of Governing Equations for Cyclic Bi-periodic Structures
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摘要 证明了U变换方法可使具有循环双周期特性的运动方程组(代数或微分方程组)解耦,给出了解耦方程的基本形式,所得结果可广泛应用于循环双周期系统的静力与动力分析. The advantage of applying the U-transformation method is to make it possible for the linear simultaneous equations, either algebraic or differential equations, with cyclic bi-penodicity properties to uncouple. This paper provides a rigorous proof for this significant statement and gives the form of the uncoupled equations. The result can be easily used in the procedure to obtain the solutions for static and dynamic analyses of bi-periodic structures.
作者 高磊 刘济科
出处 《中山大学学报(自然科学版)》 CAS CSCD 北大核心 2000年第z2期6-8,共3页 Acta Scientiarum Naturalium Universitatis Sunyatseni
基金 广东省自然科学基金资助项目(001180) 中山大学高等学术研究中心基金资助项目 (99M6)
关键词 双周期系统 U变换 解耦 bi-periodic structures U-transformation uncoupling
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参考文献4

  • 1[2]CAI C W, CHEUNG Y K, CHAN H C. Dynamic response of infinite continuous beams subjected to a moving force - an exact method. Journal of Sound and Vibration, 1988, 123 (3): 461~472.
  • 2[3]CAI C W, CHEUNG Y K, CHAN H C. Transverse vibration analysis of plane trusses by analytical method. Journal of Sound and Vibration, 1989, 133 (1): 139~150.
  • 3[4]CAI C W, CHEUNG Y K, CHAN H C. Uncoupling of dynamic equations for periodic struetures. Journal of Sound and Vibration, 1990, 139 (2): 253~263.
  • 4[5]CHAN H C, CAI C W, CHEUNG Y K. Exact analysis of structures with periodicity using U-transformation. Singapore: World Scientific, 1998. 1~10.

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