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Article Navigation > Applied Mathematics and Mechanics > 1991 > 12(5): 397-400

Gao Pu-yun, Guo Zhong-heng. Lagrange Equation of a Class of Nonholonomic Systems[J]. Applied Mathematics and Mechanics, 1991, 12(5): 397-400.

Citation:

Gao Pu-yun, Guo Zhong-heng. Lagrange Equation of a Class of Nonholonomic Systems[J]. Applied Mathematics and Mechanics, 1991, 12(5): 397-400.

Gao Pu-yun, Guo Zhong-heng. Lagrange Equation of a Class of Nonholonomic Systems[J]. Applied Mathematics and Mechanics, 1991, 12(5): 397-400.

Citation:

Gao Pu-yun, Guo Zhong-heng. Lagrange Equation of a Class of Nonholonomic Systems[J]. Applied Mathematics and Mechanics, 1991, 12(5): 397-400.

Lagrange Equation of a Class of Nonholonomic Systems

Gao Pu-yun¹,
Guo Zhong-heng²

1.
Dept. of Math., Xiangtan Normal School, Xiangtan;
2.
Dept. of Math, Peking University, Beijing

Received Date: 1990-01-19
Publish Date: 1991-05-15

Abstract

Making use of conclusions from [1]: (1) d-δ operations are commutative; (2) the Appell-Chetaev condition restricting virtual displacements is superfluous, the present paper derives the Lagrange equation without multipliers for a class of first-order nonlinear nonholonomic dynamical systems by means of variational principle. This kind of equations is new.
- nonholonomic dynamics,
- d-δ commutativity,
- Appell-Chetaev condition,

References

[1]	Guo thong-heng and Gao Pu-yun,On the classic nonholonomic dynamics,Acta Meclj,Sinica,5(1989),253-259.
[2]	梅凤翔,《非完整系统力学基础》,北京工业学院出版社,北京(1985).
[3]	梅凤翔,《非完整动力学研究》,北京工业学院出版社、北京(1987).

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