Partial balancing of the shaking force of a spatial 4-bar RCCC linkage by the optimization method

Abstract In order to obtain partial balancing of the shaking force of a spatial 4-bar RCCC linkage, three counterweights are attached to moving links of the RCCC linkage respectively and optimal vectors of the position of the counterweights are computed by optimization procedure BFS or BFGS (Broyden-Fletcher-Goldfarb-Shanno), which is a variable metric method. In this way, the RMS norm of the shaking force of the RCCC linkage is reduced by half.