On the Unification of the Hamilton Principles in Non-Holonomic System and in Holonomic System

Liang Lifu; Wei Yang

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Liang Lifu, Wei Yang. On the Unification of the Hamilton Principles in Non-Holonomic System and in Holonomic System[J]. Applied Mathematics and Mechanics, 1996, 17(5): 439-444.

Citation:

Liang Lifu, Wei Yang. On the Unification of the Hamilton Principles in Non-Holonomic System and in Holonomic System[J]. Applied Mathematics and Mechanics, 1996, 17(5): 439-444.

Citation:

Liang Lifu, Wei Yang. On the Unification of the Hamilton Principles in Non-Holonomic System and in Holonomic System[J]. Applied Mathematics and Mechanics, 1996, 17(5): 439-444.

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On the Unification of the Hamilton Principles in Non-Holonomic System and in Holonomic System

Harbin Engineering University, Harbin 150001, P. R. China

Received Date: 1995-09-02
Publish Date: 1996-05-15

Abstract

Abstract

In this paper by means of typical engineering examples and deep theoretical analysis, we prove that under the effect of conservative force, the Hamilton principles in holonomic and non-holonomic systems have the same formula δ∫Ldt=0. The formula ∫δdt=0 is an evolved form of the formula δ∫Ldt=0. Therefore, the two formulas are unified.
- non-holonomic system,
- holonomic system,
- the Hamilton,

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References(4)

References

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[2]	V.V.Rumjantsev,On the Hamilton principle for non-holonomic systems,Appl.Math.and Mech.,42,3 (1978),387-399.
[3]	钱伟长,《变分法及有限元》,科学出版社(1980).
[4]	胡海昌,《弹性力学变分原理及其应用》,科学出版社(1981).