Naseer Ahmed. Integral Invariants of a Holonomic Dynamical System Naseer Ahmed[J]. Applied Mathematics and Mechanics, 1994, 15(8): 719-727.
Citation: Naseer Ahmed. Integral Invariants of a Holonomic Dynamical System Naseer Ahmed[J]. Applied Mathematics and Mechanics, 1994, 15(8): 719-727.

Integral Invariants of a Holonomic Dynamical System Naseer Ahmed

  • Received Date: 1993-10-29
  • Publish Date: 1994-08-15
  • This paper uses Poincare's formalism to study the integral invariants of a conservative holonomic dynamical system. Introducing new parameters for the asrnchronous variation, a generalization of the Poincare and Poincaré-Cartan integral invariants is presented.
  • loading
  • [1]
    Ahmed,N.,Some problems in the dynamics of nonholonomic systems,P h.D.Thesis,Quaid-i-Azam University,lslamabad,Pakistan(1986).
    [2]
    Arnold,V.I..Mathematical Methods of Classical Mechanics,Springer-Verlag,New York Inc.(1978).
    [3]
    Benavent,R.,Poincare-Cartan integral invariant for constrained system,Ann.Phys.,118,2(1979),476-489.
    [4]
    Cetaev,N.G.,On the equations of Poirlcare,Prikl.Mai.Meh.,5(1941),253-262.
    [5]
    19jukK:,Dj.S.,Integral invariants in classical nonconservative mechanics,Acta Mechanica,23,3(1975),291-296.
    [6]
    Dobronravove,V.V.,Integral-invariants of the analytical mechanics in nonholonomic coordinates,Dokl.Akad.Nauk.SSSR,XLVI(1945),196-199.
    [7]
    Duan,L.and L.Young,About basic integral variants of holonomic nonconservative dynamical systems,A cta Mechanica Siniea,7,2( 1991),178-185.
    [8]
    Gantmacher,F.R.,Lectures in Analytical Mechanics,Mir Publishers,Moscow(1970).
    [9]
    Ghori,Q.K.and M.Hussain,Generalization of Hamilton-Jacobi theorem,Z.Angew.Math.Phys.,25(1974),536-540.
    [10]
    Ghori.Q.K.and N.Ahmed,Hamilton's principle for nonholonomic systems,Z.Angew.Math.Mech.74,2(1994),137-140.
    [11]
    Pars,L.A.,A Treatise on Analyiical Dynamics,Heinemann London(1968).
    [12]
    Poiner6,H.,Sur nue forme nouvelle des equations de la mecanique,C.R.Acad.Sci.,Paris,132(1901),369-371.
    [13]
    Vujanovic,B.,Conservation laws of dynamical systems via d'Alember's principle,Int.J.Non-Linear Mech.,13(1978),185-197.
    [14]
    Whittaker,E.T.,d Treatise on AnaO,tical Dynamics of Particles and Rigid Bodies,Cambridge University Press(1927)
  • 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 (1944) PDF downloads(466) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return