变质量任意阶非线性非完整系统相对于非惯性系的Mac-Millan方程

Mac-Millan Equations of Variable Mass High-Order Nonlinear Nonholonomic Systems in Noninertial Reference Frame

从变质量力学系统相对于非惯性系的万有D’Alcmbcrt原理出发,采用凝固导数和凝固偏导数记号,得到变质量任意阶非线性非完整约束系统相对于非惯性系的在广义坐标下和准坐标下的Mac-Millan型运动方程。证明这类运动方程与型方程的等价性,以往的Mac-Millan方程都是本文的特款。

Bosed on the universal D'Alembert principle of variable mass mechanics system in noninertial reference frame, using the sign of derivative and partial derivative of solidification, Mac-Millan equations of variable mass high-order nonlinear nonholonomic system in noninertial reference frame were obtained. And then proves the Chaplygin equations identically equal to the Mac-Millan equations. The Mac-Millan equations in other form are special cases of the equations obtained.