纺织高校基础科学学报
紡織高校基礎科學學報
방직고교기출과학학보
BASIC SCIENCES JOURNAL OF TEXTILE UNIVERSITIES
2014年
3期
347-350
,共4页
变质量力学系统%Tzénoff方程%方程的新形式
變質量力學繫統%Tzénoff方程%方程的新形式
변질량역학계통%Tzénoff방정%방정적신형식
mechanical systems with variable mass%Tzénoff equation%new form of equation
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。本文构造了变质量力学系统的Tzénoff函数,建立了用普通偏导数表示的变质量完整系统和非完整系统的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。
航天器運行繫統大都屬于變質量力學繫統,研究變質量繫統的運動方程是研究航天繫統力學性質的基礎。本文構造瞭變質量力學繫統的Tzénoff函數,建立瞭用普通偏導數錶示的變質量完整繫統和非完整繫統的Tzénoff方程,所給齣的運動方程具有新的結構形式,該微分方程的建立對變質量繫統的動力學研究具有一定的理論價值。
항천기운행계통대도속우변질량역학계통,연구변질량계통적운동방정시연구항천계통역학성질적기출。본문구조료변질량역학계통적Tzénoff함수,건립료용보통편도수표시적변질량완정계통화비완정계통적Tzénoff방정,소급출적운동방정구유신적결구형식,해미분방정적건립대변질량계통적동역학연구구유일정적이론개치。
Most spacecrafts operation systems belong to the systems with variable mass .The equation of motion in the systems with variable mass is the foundation to make a further understanding of mechani-cal property within aerospace system .In this research ,the Tzénoff function in the mechanics systems with variable mass is constructed ,and the Tzénoff equation which was expressed by normal partial de-rivative in holonomic system and nonholonomic system is built .This equation of motion have new struc-tural form ,the built of this differential equation would also provide some theoretical value for dynamics research in the systems with variable mass .