A new theory for linkage force balancing machines is presented. These devices make it possible to remove the residual shaking forces of theoretically fully force balanced mechanisms. The required correction masses are obtained from the solution of a unique set of shaking force equations which contain experimentally determined values of the residual shaking force components as well as all relevant kinematic quantities. The essential ideas are first demonstrated for a four-bar linkage device. Subsequently, this theory is generalized to apply to machines for balanceable planar n-bar linkages containing both revolutes and sliders. Part 2 reports on the experimental development of such a machine for four-bar linkages.

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