连杆空间运动的瞬轴面分析

Axodes Analysis of a Linkage in Spatial Motion

本文运用活动标架法和曲线与直纹面相伴理论 ,证明了连杆空间运动时 ,在任意瞬时 ,其动定瞬轴面于瞬轴上相切地接触 ,并有相同的 Frenet标架。得出了瞬轴面诱导结构参数的运动学意义 ,即 α* 仅与连杆的瞬时移动有关 ,β*仅与连杆的瞬时转动有关。并计算出了连杆上的加速度瞬心 。

Based on moving frame method and an approach of a space curve adjoint to a ruled surface in this paper,we verify that the moving axode contact with the fixed axode along ISA(instantaneous screw axis)in first order at any instant for a linkage in spatial motion,and having same moving frames.We obtain the kinematic meanings of axodes induced construction parameters. That is α  is only related with the instantaneous slide along ISA,while β  is only related with the instantaneous rotation.We point out some points,such as the acceleration center,the inflection points and the Bresse hyperboloid.