变质量完整力学系统的高阶运动微分方程

Higher order differential equations of motion for holono micmechanical system of variable mass

从Мещерский方程出发,建立变质量力学系统的高阶D’Alembert-Lagrange原理,导出变质量完整力学系统的各类高阶运动微分方程.结果表明,它们扩充和优化了完整力学的相关理论.

Starting from the Мещерский equations, the higher order D＇Alembert-Lagrange principle for mechanical system of variable mass is obtained, and different kinds of higher order differential equations of motion for holonomic mechanical system of variable mass are derived. The result shows that these equations extend and optimize the correlative theory of holonomic mechanics.