变质量一般非完整力学系统的Routh方程

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Routh’s Equations for General Nonholonomic Mechanical Systems of Variable Mass

摘要: 本文不使用任何变分原理,而直接从牛顿力学的动力学方程导出受有任意阶非线性非完整理想约束的变质量力学系统相对于一般非惯性参考系的Routh方程,并由它给出其它类型的运动微分方程.
- Routh方程 /
- 变质量系统 /
- 非完整约束 /
- 非惯性参考系
Abstract: In this paper,Routh's equations for the mechanical systems of the variable mass with nonlinear nonholonomic constraints of arbitrary orders in a noninertial reference system have been deduced not from any variational principles,but from the dynamical equations of Newtonian mechanics.And then again the other forms of equations for nonholonomic systems of variable mass are obtained from Routh's equations.
- Routh’s equations /
- variable mass system /
- nonholonomic constraint /
- noninertial reference system

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