Complete Balancing of Linkages Using Complete Dynamical Equivalents of Floating Links: CDEL Method

Abstract

Abstract Partially dynamically equivalent link concept has been used for partial shaking force balancing of the slider-crank mechanisms of engines for a long time. The article offers methods of forming complete dynamically equivalent link (CDEL) for floating binary, ternary, and quaternary links by which a mechanism can be completely balanced eliminating shaking force and shaking moment. Developments and applications are simple. Four-bar and slider-crank mechanisms, Walt’s and Stephenson’s type six-bar mechanisms and some eight-bar mechanisms are completely balanced to illustrate different forms of CDEL in different mechanisms. CDEL uses auxiliary masses and mass moments of inertia on a floating link. The use of the auxiliary masses is illustrated in numerical examples. A Watt’s type body guiding six-bar mechanism interacting with a robot is completely balanced in an application example.