刚体相对于一般动参考系的定轴转动微分方程  

The differential equation of rigid body rotation about a fixed axis relative to a general moving reference frame

作　　者：张劲夫[1] ZHANG Jinfu(Department of Engineering Mechanics,Northwestern Polytechnical University,710129 Xi'an,China)

机构地区：[1]西北工业大学工程力学系,西安710129

出　　处：《应用力学学报》2022年第3期583-587,共5页Chinese Journal of Applied Mechanics

摘　　要：为了便于研究刚体相对于动参考系的定轴转动的动力学问题,本研究从质点系对任意点的动量矩定理出发,推导出了刚体相对于一般动参考系的定轴转动微分方程。最后,将该方程应用于3个具体实例,验证了该方程的正确性和应用上的便捷性,以此说明了该方程具有一定的应用推广价值。In order to facilitate the study on the dynamics of rigid body rotation about a fixed axis relative to a moving reference frame,the differential equation of rigid body rotation about a fixed axis relative to a general moving reference frame is derived by using the theorem of angular momentum of a system of particles about an arbitrary point.This equation is applied to three concrete examples to verify the correctness of the equation and the convenience of its application,which shows that the equation has certain application value.

关 键 词：刚体 动参考系 定轴转动 动力学 微分方程 

分 类 号：O343[理学—固体力学]