弹性轴上动态转矩的估计问题

本文用拉格朗日方程导出弹性轴的旋转运动方程并阐述了静态、稳态和动态转矩概念的区别,且用参数辨识方法估计弹性轴上各等效参数,最后给出动态转矩的最优估计.

ON THE ESTIMATION OF THE DYNAMICAL ROTARY TORQUE OF MECHANISMS WITH AN ELASTIC BAR

According to the Lagrangian equation, this paper introduces the dynamical equation for the mechanisms with, an elastic bar. It 19 known that Hooke's law 59 tenable only for the static condition and the dynamical equation is a special case when both angular velocity and angular acceleration are always zero. Up-to-date, torque meters both in China and in other countries are based on Hooke's law, and they can not measure the dynamical rotary torque.This paper based on the dynamical equation describes the way to measure the dynamical rotary torque. The trouble in practice is how to determine the equivalent moment of inertia J and the viscous damping k. We use the technique of parameter estimation to solve this problem. Two computing approaches are discussed. The kernel of the whole matter is the least square method. At last, the optimal estimation of the dynamical rotary torque is given by computation.