变质量广义Tzénoff方程的新结果  

The new result of the variable mass generalized Tzénoff equation

作　　者：郑世旺[1] 王建波[1] 陈向炜[1] 李彦敏[1] 

机构地区：[1]商丘师范学院物理与电气信息学院,河南商丘476000

出　　处：《云南大学学报（自然科学版）》2014年第4期512-517,共6页Journal of Yunnan University(Natural Sciences Edition)

基　　金：国家自然科学基金(11372169)

摘　　要：航天器运行系统大都属于变质量力学系统,研究变质量系统的运动方程是研究航天系统力学性质的基础.以往是用凝固导数和凝固偏导数来研究力学系统的Tzénoff方程,作者用普通导数构造了变质量力学系统的广义Tzénoff函数,建立了用普通偏导数表示的变质量完整系统和高阶非完整系统的广义Tzénoff方程,所给出的运动方程具有新的结构形式,该微分方程的建立对变质量系统的动力学研究具有一定的理论价值.The spacecraft operation systems are almost the variable mass mechanics systems. So researching the motion equations of the variable mass system is the basic of studying the space system mechanics properties. Differing form the Tzenoff equations researched by the freezing derivative and the freezing partial derivative, in this paper, the generalized Tzenoff functions of the variable mass mechanics system is constructed by the ordinary derivative and the generalized Tzenoff equations of the variable mass holonomic system and higher - order nonhonolomic system expressed by ordinary partial derivatives are generated. All the given motion equations are with new construction form, and the construction of the differential equations has some theory value to the kinetic research of the variable mass system.

关 键 词：变质量力学系统 广义Tzenoff方程 新结果 

分 类 号：O320[理学—一般力学与力学基础]