基于加速度基点法的均质杆惯性力系的简化

Study on reducing the inertial force system of a homogeneous rod based on acceleration pole method

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.

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.