变质量非完整系统相对于非惯性系运动方程的第一积分

First Integral for Variable Mass Nonholonomic Systems in Noninertial Reference Frames

建立变质量非线性非完整力学系统相对于非惯性系运动的广义Routh方程和广义ql凹wHn方程,分别研究这类系统的广义循环积分、广义能量积分和局部能量积分存在的条件,常质量系统、惯性参考系统和完整约束系统的第一积分理论均为本文的特款。

The generalized Routh equation and the generalized Chaplygin equation of variable mass nonlinear nonholonomic mechanical system in noninertial reference frame are extended and the generalized cyclic integral, the generalized energy integral and the local energy integral and their conditions of existence for the system are obtained. The first integral of constant mass system, inertial reference frame and holonomic constraint system are special cases obtained in this paper.