完整动力系统的积分不变量
Integral Invariants of a Holonomic Dynamical System Naseer Ahmed
-
摘要: 本文利用Poincaré形式研究了一个保守完整动力系统的积分不变量,对异步变分引入了新的参数,给出了Poincaré和Poincare-Cartan积分不变量的一个推广。Abstract: 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.
-
Key words:
- analysis mechanics /
- holonomic dynamical system /
- integral invariants /
- synchronous /
- asynchronous
-
[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)
点击查看大图
计量
- 文章访问数: 1936
- HTML全文浏览量: 72
- PDF下载量: 466
- 被引次数: 0