The Equation of Motion for the System of the Variable Mass in the Non-Linear Non-Holonomic Space

Qiu Rong

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Article Navigation > Applied Mathematics and Mechanics > 1996 > 17(4): 363-367

Qiu Rong. The Equation of Motion for the System of the Variable Mass in the Non-Linear Non-Holonomic Space[J]. Applied Mathematics and Mechanics, 1996, 17(4): 363-367.

Citation:

Qiu Rong. The Equation of Motion for the System of the Variable Mass in the Non-Linear Non-Holonomic Space[J]. Applied Mathematics and Mechanics, 1996, 17(4): 363-367.

Citation:

Qiu Rong. The Equation of Motion for the System of the Variable Mass in the Non-Linear Non-Holonomic Space[J]. Applied Mathematics and Mechanics, 1996, 17(4): 363-367.

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The Equation of Motion for the System of the Variable Mass in the Non-Linear Non-Holonomic Space

Qiu Rong

Fuzhou University, Fuzhou 3500021 Xi'an Shidai Research Institute of Science-Technology, P. R. China

Received Date: 1995-03-02
Rev Recd Date: 1995-11-06
Publish Date: 1996-04-15

Abstract

Abstract

The dot product of bases vectors on the super-surface of constraints of the nonlinear non-holonomic space and Mesherskii equations may act as the equations of fundamental dynamics of mechanical system for the variable mass.These are very simple and convenient for computation.From these known equations,the equations of Chaplygin,Nielson,Appell,Mac-Millan et al.are derivd,it is unnecessary to introduce the definition if Appell-Chetaev or Niu Qinping for the virtual displacement.These are compatible with the D'Alembert-Lagrange's principle.
- the non-linear non-holonomic constraints,
- the system of the variable mass,
- dot product,
- bases vectors on supersurface of constraints

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References(6)

References

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