A general method for synthesizing straight-line linkage with Ball and Burmester points

摘要

For straight-line linkage synthesis with Ball or Burmerster points, the traditional calculating method is separated, and lack of unitarity. In this paper, we derived the general formulae of kinematic analysis for link-point of four-bar mechanism, including velocity, acceleration, one time rate of acceleration change, and two times rate of acceleration. So the four-bar straight-line linkage whether with Ball or Burmester point can be verified. And then, the synthesis methods are unified theoretically. An illustrative example is given to verify the correctness of formulae derived. This approach is a novel analytical method for verifying and synthesis four-bar linkages with four and five infinitesimally separated positions of the point falling on a straight-line.