Integration Method for the Dynamics Equation of Relative Motion of Variable Mass Nonlinear Nonholonomic System

Chen Xiangwei; Luo Shaokai

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Article Navigation > Applied Mathematics and Mechanics > 1998 > 19(5): 447-455

Chen Xiangwei, Luo Shaokai. Integration Method for the Dynamics Equation of Relative Motion of Variable Mass Nonlinear Nonholonomic System[J]. Applied Mathematics and Mechanics, 1998, 19(5): 447-455.

Citation:

Chen Xiangwei, Luo Shaokai. Integration Method for the Dynamics Equation of Relative Motion of Variable Mass Nonlinear Nonholonomic System[J]. Applied Mathematics and Mechanics, 1998, 19(5): 447-455.

Citation:

Chen Xiangwei, Luo Shaokai. Integration Method for the Dynamics Equation of Relative Motion of Variable Mass Nonlinear Nonholonomic System[J]. Applied Mathematics and Mechanics, 1998, 19(5): 447-455.

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Integration Method for the Dynamics Equation of Relative Motion of Variable Mass Nonlinear Nonholonomic System

Department of Physics, Shangqiu Teachers, College, Shangqiu, Henan 476000, P.R.China

Received Date: 1996-05-17
Publish Date: 1998-05-15

Abstract

Abstract

In this paper,the integration methods of dynamics equations of relative motion of variable mass nonlinear nonholonomic system,such as the gradient method,the single-component method and the field method,are given.Firstly,the dynamics equations are written in the canonical form and the field form.Secondly,the gradient method,the single-component method and the field method are used to integrate the dynamics equations of the corresponding constant mass holonomic system in inertial reference frame respectively.With the restriction of nonholonomic constraints to the initial conditions being considered,the solutions of the dynamics equations of variable mass nonlinear nonholonmic system in noninertial reference frame are obtained.
- analytical mechanics,
- integration method,
- nonlinear nonholonomic constraint,
- variable mass system,
- noninertial reference frame

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References(11)

References

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