论动能定理在单自由度系统静力学中的应用  

Application of Kinetic Energy Theorem in Single Degree Freedom System Statics

作　　者：张居敏[1] 李文成 Zhang Jumin;Li Wencheng(College of Engineering,Huazhong Agricultural University,Wuhan 430070,China)

机构地区：[1]华中农业大学工学院,湖北武汉430070

出　　处：《海南大学学报（自然科学版）》2022年第3期225-234,共10页Natural Science Journal of Hainan University

基　　金：国家重点研发计划(2017YFD0301303)。

摘　　要：论述了动能定理在静力学问题求解中的应用.提出了功函数概念,指出物体系统在功函数驻点位置静止时所受力系一定是平衡力系,而在其他任何非驻点位置静止时所受力系都不是平衡力系.或者动能守恒系统静止时一定受力平衡.静止和动能守恒是确保系统受力平衡的2个充分条件,二者缺一不可.提供了用动能定理求解静力学问题时的4种具体方法:功函数求导法、速度分析法、矢量分析法和坐标解析法,后3种方法与虚位移原理有异曲同工之处.In the report,the application of kinetic energy theorem in solving static problems was discussed. The concept of work function was put forward,which suggested that the force system of the object system when it is stationary at the stagnation point of the work function must be an equilibrium force system,while the force system when it is stationary at any other non-stagnation point is not an equilibrium force system. In other words,the kinetic energy conservation system must be in equilibrium when it is stationary. Static and kinetic energy conservation are two sufficient conditions to ensure the force balance of the system. Four methods for solving statics problems with kinetic energy theorem,work function derivation method,velocity analysis method,vector analysis method,and coordinate analysis method,were provided,and the latter three methods are similar to the principle of virtual displacement.

关 键 词：理论力学 动能定理 功函数 虚位移原理 动力学 静力学 运动学 

分 类 号：O342[理学—固体力学]