Abstract

Based on matrix algebra and its differentiation, we derive the general analytical kinematic solutions and simple stationary configurations of Type I spatial 6R overconstrained mechanism. This mechanism is a general form of Sarrus 6R mechanism. Its coupler point of a certain link has straight-line motion and this is used for the synthesis of straight-line mechanism by the optimization method. Moreover, a graphical synthesis technique with descriptive geometry is presented to design the linkage type of double-toggle mechanism for spatial clamping device. Two numerical examples are given for illustration and their results are verified by computer animation of motion.

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