On mechanical property of constraint. (English) Zbl 0845.70009
This paper is divided into three parts: 1. The mechanical property of holonomic constraint. Here only the non-steady constraints are studied. 2. The constraint force and the property of non-holonomic constraint are studied when using the Chetaev condition. These include the constraint force in various differential equations of motion for non-holonomic systems. 3. The constraint force and the property of non-holonomic constraint are studied without the Chetaev condition.
MSC:
| 70F20 | Holonomic systems related to the dynamics of a system of particles |
| 70F25 | Nonholonomic systems related to the dynamics of a system of particles |
Software:
GAUSSIANReferences:
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| [2] | N. G. Chetaev,On Gaussian Principle. The Papers of Analytical Mechanics, Moscow (1962). (in Russian) |
| [3] | N. G. Chetaev, The revision of Gaussian principle,Appl. Math. and Mech.,5 (1941). (in Russian) · Zbl 0063.00756 |
| [4] | L. F. Liang, On a problem of analytical dynamics of non-holonomic systems,Applied Mechanics, Edited by Z. M. Zheng,1, Pergamon Press (1989). |
| [5] | V. V. Rumyantsev, On Hamilton’s principle for non-holonomic systems,Appl. Math. and Mech.,42 (1978). (in Russian) · Zbl 0434.70025 |
| [6] | V. V. Rumyantsev. On integral principles for non-holonomic systems,Appl. Math. and Mech.,46 (1982). (in Russian) · Zbl 0514.70016 |
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