高师理科学刊
高師理科學刊
고사이과학간
JOURNAL OF SCIENCE OF TEACHERS' COLLEGE AND UNIVERSITY
2014年
1期
53-55
,共3页
达朗贝尔原理%均质杆%惯性力%角加速度
達朗貝爾原理%均質桿%慣性力%角加速度
체랑패이원리%균질간%관성력%각가속도
D'Alembert principle%homogeneous rod%inertial force%angular acceleration
给出了一种求解均质杆动力学问题的方法,以杆的一端为基点,应用加速度合成的基点法,表示出均质杆任一点的加速度,在杆微元段虚加上惯性力,得到三个分布惯性力系。对整个杆上三个方向的分布惯性力系单独进行化简,得到沿三个方向作用的惯性力,方便应用达朗贝尔原理。通过若干算例验证了方法的有效性。
給齣瞭一種求解均質桿動力學問題的方法,以桿的一耑為基點,應用加速度閤成的基點法,錶示齣均質桿任一點的加速度,在桿微元段虛加上慣性力,得到三箇分佈慣性力繫。對整箇桿上三箇方嚮的分佈慣性力繫單獨進行化簡,得到沿三箇方嚮作用的慣性力,方便應用達朗貝爾原理。通過若榦算例驗證瞭方法的有效性。
급출료일충구해균질간동역학문제적방법,이간적일단위기점,응용가속도합성적기점법,표시출균질간임일점적가속도,재간미원단허가상관성력,득도삼개분포관성력계。대정개간상삼개방향적분포관성력계단독진행화간,득도연삼개방향작용적관성력,방편응용체랑패이원리。통과약간산례험증료방법적유효성。
A method is given to solve the dynamic problem of a homogeneous rod.One end of the rod is regarded as pole,and pole method of acceleration composition is applied to represent the acceleration of any point at the homo-geneous rod.In analysis,the rod is divided into differential elements,in each of which inertial force is added,and three distributed of inertial force system is obtained.The inertial force system on rod is reduced in three directions respectively,and the result is easy to be used in dynamical analysis by D'Alembert principle.Several examples de-monstrate the effectiveness of the proposed method.