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THE STATIONARY VALUE PROPERTY OF HAMILTON'S PRINCIPLE IN non-holonomic systemS

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Applied Mathematics and Mechanics(English Edition) 1997年第12期18卷 0-0,0-0+0-0+0-0页

作者：梁立孚梁忠宏石志飞 Harbin Engineering University 150001 Harbin P. R. China Harbin Institute of Technology 150001 Harbin P. R. China

This paper proves that Hanlilton's prmciple of both using the Appell-Chetaevcondition and not using the Appell-CHETAEV conditiion is the variational principle of stationary *** relevant problems are discussed

关键词： variational principle non-holonomic system stationary action,analytical dynamics

Form Invariance and Conserved Quantity for non-holonomic systems with Variable Mass and Unilateral Constraints

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Communications in Theoretical Physics 2007年第2期47卷 213-216页

作者： WANG Jing LI Yuan-Cheng HOU Qi-Bao XIA Li-Li College of Physical Science and Technology University of Petroleum China Dongying 257061 China

The paper studies the form invariance and a type of non-Noether conserved quantity called Mei conserved quantity for non-holonomic systems with variable mass and unilateral constraints. Acoording to the invariance of the form of differential equations of motion under infinitesimal transformations, this paper gives the definition and criterion of the form invariance for non-holonomic systems with variable mass and unilateral constraints. The condition under which a form invariance can lead to Mei conservation quantity and the form of the conservation quantity are deduced. An example is given to illustrate the application of the results.

关键词： variable mass unilateral constraint non-holonomic system form invaxiance conserved quantity

Lie-form invariance of non-holonomic systems with unilateral constraints

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Chinese Physics B 2006年第8期15卷 1665-1668页

作者：王静李元成夏丽莉后其宝 College of Physics Science and Technology University of Petroleum (East China) Dongying 257061 China

In this paper the Lie-form invariance of the non-holonomic systems with unilateral constraints is studied. The definition and the criterion of the Lie-form invariance of the system are given. The generalized Hojman conserved quantity and a new type of conserved quantity deduced from the Lie-form invariance are obtained. Finally, an example is presented to illustrate the application of the results.

关键词： unilateral constraint non-holonomic system symmetry conserved quantity

Bifurcation and buckling analysis of a unilaterally confined self-rotating cantilever beam

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Acta Mechanica Sinica 2006年第2期22卷 177-184页

作者： Shifu Xiao Bin Chen Min Yang Southwest Institute of Structural Mechanics EO. Box 919-401 Mianyang 621900 China Department of Mechanics & Engineering Science PKU Beijing 100871 China

A nonlinear dynamic model of a simple nonholonomic system comprising a self-rotating cantilever beam subjected to a unilateral locked or unlocked constraint is established by employing the general Hamilton＇s Variational Principle. The critical values, at which the trivial equilibrium loses its stability or the unilateral constraint is activated or a saddle-node bifurcation occurs, and the equilibria are investigated by approximately analytical and numerical methods. The results indicate that both the buckled equilibria and the bifurcation mode of the beam are different depending on whether the distance of the clearance of unilateral constraint equals zero or not and whether the unilateral constraint is locked or not. The unidirectional snap-through phenomenon （i.e. catastrophe phenomenon） is destined to occur in the system no matter whether the constraint is lockable or not. The saddle-node bifurcation can occur only on the condition that the unilateral constraint is lockable and its clearance is nonzero. The results obtained by two methods are consistent.

关键词： non-holonomic system Bifurcation Buckling Assumed modes method Shooting method

On the field method in non-holonomic mechanics

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Acta Mechanica Sinica 2005年第2期21卷 192-196页

作者： Ivana Kovacic Department of Mechanics Faculty of Technical SciencesUniversity of Novi Sad.

This paper deals with the generalization of the fieldmethod to non-holonomic systems whose motion is subject toeither non-linear constraints or those of a higher order,whiletheir motion is modeled by the generalized L... 详细信息

关键词： non-holonomic system Equations of motion Field method

APPELL EQUATIONS IN TERMS OF QUASI-VELOCITIES AND QUASI-ACCELERATIONS

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Acta Mechanica Sinica 1987年第3期3卷 268-277页

作者： Yuan Shijie Mei Fengxiang (Beijing Institute of Technology) 1. Beijing Institute of Technology Beijing China

The new forms of Appell equations in terms of quasi-velocities and quasi-accelerations for lst order and 2nd order non-holonomic systems are,*** the resultsobtained are extended to variable mass *** an example is given.

关键词： quasi-velocity quasi-acceleration non-holonomic system variable mass system

Parallel Formation Tracking for nonholonomic Vehicles in Some Constrained Conditions

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Parallel Formation Tracking for Nonholonomic Vehicles in Som...