非惯性系动力学定理中无惯性力作用项的条件确定

Determining the conditions on the inertial-force-free term in kinetic theorem of non-inertial system

在随动点o′平动的非惯性系中,运用理论研究法建立相对动点o′的动力学普遍定理,发现这些定理中均含有惯性力的作用项,使得普遍定理的运用受到限制.为解决这一问题,通过分析惯性力作用项的特征和动点o′的选取,提出了定理中无惯性力作用项的条件,使平动非惯性参照系问题的动力学方程得以简化.

It is found that the theorems contain inertial force terms when the general relative-to-moving-point dynamics theorems are theoretically established in non-inertial system translating with moving point o′.The existence of the inertial force terms constrains the application of the general theorems.To solve the problem,based on the feature of inertial force term in the established general dynamics theorems,the choice of the moving point o′ is analyzed and the conditions on which there is no inertial force term in the theorems are given.