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本文重点研究了无返回力矩擒纵机构的动态碰撞特性和周期运动特性。采用振动理论中的粘性衰减自由振动的二阶线性微分方程来处理在同一直线上移动的两个不完全弹性体间的碰撞,并用等效理论建立了卡子摆和擒纵轮旋转运动的方程式,同时给出了碰撞系数与粘性衰减比之间的数学关系式。用粘性衰减自由振动来处理这一问题,可以得出清晰的物理特性。本文采用了量纲分析理论中的勃金汉(Buckingham)的π定理建立了无返回力矩擒纵机构运动系的各参数间的关系,最后推导出能反映该机构运动性能的擒纵论周期的数学表达式。本文所采用的方法与研究该机构的传统方法是完全不同的。由于作者水平所限,不妥之处请批评指正。
This paper focuses on the dynamic collision characteristics and periodic motion characteristics of a non-return moment escapement. The second order linear differential equation of viscous damping free vibration in the vibration theory was used to deal with the collision between two incomplete elastic bodies moving on the same straight line. The equations of the rotational motion of the pendulum and the escape wheel were established by the equivalent theory. At the same time, the mathematical relation between the collision coefficient and the viscous damping ratio is given. Viscous damping free vibration to deal with this problem, you can draw clear physical properties. In this paper, we use the Buckingham’s π theorem in the theory of dimensional analysis to establish the relationship between the parameters of the kinematic system of the non-return moment escapement and finally deduce the escapement theory cycle that can reflect the movement performance of the mechanism Mathematical expressions. The approach taken in this article is completely different from the traditional approach to researching the agency. Due to the author’s level of limitations, please correct me wrong.