Reconstruction of Planar Cam Profile Function and its Follower Displacement using B-Spline Curve based on Inverse Subdivision Method and Theory of Contact Relations - Application to Cam Mechanism of Oscillating Follower with Roller

For controlling the precision of a manufacturing planar cam mechanism, one can base on a set of digital pointsmeasured on the manufactured cam profile by a coordinate measuring machine (CMM). Issued from this set ofdiscrete digital points and by applying the well-known B-Spline least squares approach, one can reproduce thecam profile function. The given cam profile function and the theory of contact relations between cam and itsfollower enable us to deduce the displacement law of the follower and its derivatives. This paper presents a newmethod for reconstruction of a planar cam profile function from a set of digital points measuring on CMMmachines, using B-Spline curve based on inverse subdivision method and theory of contact relations. Anapplication to cam mechanism of oscillating follower with roller will be presented. To verify the feasibility andthe accuracy of the proposed inverse subdivision method, a comparison between B-Spline least squaresapproach and inverse subdivision has been realized. The method possesses an acceptable accuracy and spendsless time of calculatio

B-spline surface reconstruction by inverse subdivisions

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