变质量任意阶非线性非完整系统的相对于非惯性系的广义Ценов方法

GENERALIZED TZENOFF METHOD OF VARIABLE MASS HIGH-ORDER NONLINEAR NONHOLONOMIC SYSTEMS IN NONINERTIAL REFERENCE FRAMES

建立了基本形式、Mangeron形式和形式的变质量系统相对于非惯性系的万有D’Alembert原理,构造了变质量力学系统相对运动的动能函数和广义函数,导出了具有一般意义的变质量任意阶非线性非完整系统相对于非惯性系的广义方程,提出并证明了形式的广义积分变分原理。

This paper constructs the universal D ' Alembert principle of moninertial reference frame of variable mass system in basic form and in the forms of Mangeron and Tzenoff, the kinetic energy function and generalized Tzenoff function. It also, derives generalized Tzenoff equations and integral variational principles of variable mass high-order nonlinear nonholonomic system in the noninertial reference frame.