摘要
文章理论推导了平面运动刚体对任意点的动量矩定理.不仅给出了刚体动量对任意点动力矩统一格式,还导出了动量矩对时间一阶导数与刚体外力矩矢量和的关系.得到了动量矩定理的统一公式,即平面运动刚体外力对刚体上任意点O之矩的矢量和等于刚体绕O点转动惯量乘以刚体角加速度加上一附加力偶,该力偶大小等于rco×mao.当动量矩定理矩心选择了刚体上的质心、某一固定点、速度瞬心和加速度瞬心时,附加力偶为零.
The moment of momentum theorem for any point was studied of the planar motion of rigid body in this paper. Not only the unified format was given of the theorem of moment of momentum upon any point on the planar-motion body,also the relationship between the first-order derivative of moment of momentum versus time and the sum of external force moment of point was put forward. Namely the sum-moment vector of external forces to point O was equal to the moment of inertia of rigid body around point O multiplied by the angular acceleration plus an additional couple within rigid body companied by plane motion. The additional couple was equal to rc_o× ma_o. When the center of moment was chosen on the center of mass of the rigid body,a fixed point,speed and acceleration instantaneous center,the additional couple was zero.
出处
《九江学院学报（自然科学版）》
CAS
2016年第3期40-43,共4页
Journal of Jiujiang University：Natural Science Edition
关键词
平面运动
动量矩
质心
plane motion
moment of momentum
the center of mass
