The Closure Modes of Bennett's Twelve-Bar Planar Linkage

摘要

In building upon the unique properties of his famous four-bar loop and its planar and spherical counterparts, Bennett proposed a planar kinematic network of twelve bars, eight hinges and six loops with two degrees of mobility. It has since been studied in respect of its surprising variety of closure modes. This paper is concerned with a systematic investigation of the range of closures and their transitional states while retaining the form which exhibits only anti-parallelogrammatic loops. The opportunity is taken to introduce a 24-bar network based upon the scheme of concentric circles adopted bv Bennett.