XU Jian-guo, JIA Jun-guo. Study on Dynamics, Stability and Control of Multi-Body Flexible Structure System in Functional Space[J]. Applied Mathematics and Mechanics, 2001, 22(12): 1267-1277.
Citation: XU Jian-guo, JIA Jun-guo. Study on Dynamics, Stability and Control of Multi-Body Flexible Structure System in Functional Space[J]. Applied Mathematics and Mechanics, 2001, 22(12): 1267-1277.

Study on Dynamics, Stability and Control of Multi-Body Flexible Structure System in Functional Space

  • Received Date: 1999-12-15
  • Rev Recd Date: 2001-05-16
  • Publish Date: 2001-12-15
  • The dynamics, stability and control problem of a kind of infinite dimensional system are studied in the functional space with the method of modern mathematics. First, the dynamical control model of the distributed paramater system with multi-body flexible and milti-topological structure was established which has damping, gyroscopic parts and constrained damping's econdly, the necessary and sufficient condition of controllability and observability, the stability theory and asymptotic property of the system were obtained. These results expand the theory of the field about the dynmaics and control of the system with multi-body flexible structure, and have important engineering significance.
  • loading
  • [1]
    Hughes P C,Skelton R E.Controllability and obse rvability of linear matrix-second order system[J].ASME J Appl Mech,1980,47(2):415-420.
    [2]
    Damaren C T,D'Eleuterio G M T.Controllability and obser vability of gyroelastic vehicles[J].J Guidance Control Dynam,1991,14(5):886-894.
    [3]
    Yong B,Mote C D J.Controllability and observability of distribut ed gyroscopic system[J].ASME J Dynam Sys Meas Contr,1991,113(1):11-16.
    [4]
    王照林.运动稳定性及其应用[M].北京:高等教育出版社,19 92.
    [5]
    Goodstein H.Classical Mechanics[M].2nd ed.Readin g,MA:Addison Vesley,1980.
    [6]
    Curtain R,Prichard A.Infinite Dimensional System Theory[M].New York:Springer-Verlag,1978.
    [7]
    Chen G,Fulling S A,Narcowich F J,et al.Exponential decay of energy of evolution equations with locally distributed damping[J].SIAM J Appl Math,1991,51(1):266-301.
    [8]
    Taylor A E.Introduction to Functional Analysis[M].2nd ed.New York:John Wiley and Sons,1980.
    [9]
    Pazy A.Semigroups of Linear Operators and Applications to Partial Differential Equations[M].Berlin:Springer-Verlag,1983.
    [10]
    Banks S P.State Space and Frequency Methods in the Control of Distributed Parameter Systems[M].London:Peter Peregrints Ltd,1983.
    [11]
    Huang F L.Some problems for linear elastic systems with damping [J].Acta Math Sci,1990,10(3):319-326.
    [12]
    Kato T.Perturbation Theory for Linear Operators[M].2nd ed.Berlin:Springer-Verlag,1980.
    [13]
    YU Jing-yuan,ZHU Guang-tian.Asympototic property of flying post ure of long and thin flyer[J].Science in China,Series A,1984,27(9):990-1002.
    [14]
    Balakrishann A V.Damping operators on continum models of flexi ble structure:Explicity models for proportional damping in beam bending with en d-bodies[J].Appl Math Optimiz,1990,21(3):315-334.
    [15]
    钱学森,宋建.工程控制论[M].上册.北京:科学出版社,1980.
    [16]
    关肇直.泛函分析讲义[M].北京:高等教育出版社,1958.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2444) PDF downloads(671) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return