变转动惯量刚体定轴转动的数值研究  

Numerical Study on Fixed-Axis Rotation of Rigid Body under Variable Moment Inertia

作　　者：唐军杰[1] 王爱军[1] 赵昆[1] 张鹏[1] 

机构地区：[1]中国石油大学(北京)理学院,北京102249

出　　处：《内蒙古师范大学学报（自然科学汉文版）》2012年第2期187-190,共4页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10347004)

摘　　要：给出一个变转动惯量刚体模型,用数值方法研究了在恒力矩作用下变转动惯量刚体的定轴转动问题.在开始阶段由于转动惯量变化很小,刚体运动与刚体转动惯量不变的情况相似,随着转动惯量变化增大,在弹性恢复力的作用下,刚体角速度呈周期性变化.Given a model of variable moment inertia of rigid body,a numerical method with Matlab has been applied to study the fixed-axis rotation of rigid body under variable moment inertia and constant external torque.Because at the initial stage the changes in variable moment inertia are very small,the movement of rigid body is similar to that when moment inertia is constant.As the changes in moment inertia become greater,the angular velocity of rigid body changes periodically under the impact of elastic restoring forces.

关 键 词：刚体 变转动惯量 转动定律 数值方法 

分 类 号：O311.2[理学—一般力学与力学基础]