Minimizing Residual Vibrations in High-Speed Cam-Follower Systems Over a Range of Speeds

Abstract

A direct procedure, based on the generalized Lagrange multiplier method, will be presented for designing high-speed cam-follower systems over a range of cam speeds. With this method residual vibrations at the end of the rise of a Dwell-Rise-Dwell (DRD) cam motion are minimized for any specified range of rise times. A minimum of boundary conditions on the cam displacement function will be specified to reduce unnecessary constraints on the cam displacement function. The applicability of rules of thumb generally accepted in designing for minimum vibrations will be discussed and compared to the results from this approach.