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PARAMETRIC EQUATIONS OF nonholonomic nonconservative systemS IN THE EVENT SPACE AND THE METHOD OF THEIR INTEGRATION

Acta Mechanica Sinica 1990年第2期6卷 160-168页

作者： Mei Fengxiang (Beijing Institute of Technology) Beijing Institute of Technology Beijing China

In this paper,the parametric equations with multipliers of nonholonomic nonconservative sys- tems in the event space are established,their properties are studied,and their explicit formulation is obtained. And then the field method for integrating these equations is ***,an example illustrating the appli- cation of the integration method is given.

关键词： event space nonholonomic nonconservative system parametric equation integration method

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Non-Noether symmetries and Lutzky conservative quantities of nonholonomic nonconservative dynamical systems

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Chinese Physics B 2006年第2期15卷 243-248页

作者：郑世旺唐贻发傅景礼 Department of Physics Shangqiu Teachers College Shangqiu 476000 China State Key Laboratory of Scientific and Engineering Computing Chinese Academy of Sciences 100080 China Department of Physics Zhejiang Science and Technology University Hangzhou 310018 China Shanghai University Shanghai Institute of Applied Mathematics and Mechanics Shanghai 200072 China

Non-Noether symmetries and conservative quantities of nonholonomic nonconservative dynamical systems are investigated in this paper. Based on the relationships among motion, nonconservative forces, nonholonomic constrained forces and Lagrangian, non-Noether symmetries and Lutzky conservative quantities are presented for nonholonomic nonconservative dynamical systems. The relation between non-Noether symmetry and Noether symmetry is discussed and it is further shown that non-Noether conservative quantities can be obtained by a complete set of Noether invariants. Finally, an example is given to illustrate these results.

关键词： conserved quantity non-Noether symmetry nonholonomic nonconservative system infinitesimal transformation

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Integrating factors and conservation theorems for Hamilton‘s canonical equations of motion of variable mass nonholonmic nonconservative dynamical systems

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Chinese Physics B 2002年第8期11卷 760-764页

作者：李仁杰刘洋等 EegineeringCollegeofNortheastAgricultrueUniversity Harbin150003China CivilEngineeringCollgegofHarbinEngineeringUniversity Harbin150001China

We present a general approach to the construction of conservation laws for variable mass nonholonomic noncon-servative systems. First, we give the definition of integrating factors, and we study in detail the necessary conditionsfor the existence of the conserved quantities. Then, we establish the conservation theorem and its inverse theorem forHamilton's canonical equations of motion of variable mass nonholonomic nonconservative dynamical systems. Finally,we give an example to illustrate the application of the results.

关键词： variable mass nonholonomic nonconservative system Hamilton's canonical equations integrating factor conservation law

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