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The paper presents a mechanism consisting of nine revolute and one gear joints. A planar eight link gear mechanism having two degrees of freedom is considered for synthesis using variable topology method operating in two phases for the task of motion generation. Complex number method is presented as an ideal tool for synthesizing the linkage. Seven link gear mechanism is considered as a portion of eight link gear mechanism in each phase and illustrated with an example. These seven link gear mechanism portions of eight link gear mechanism are designed for two finitely separated positions. Variable topology method focuses on a non-iterative and simplified way of mechanism synthesis.

This paper illustrates the implementation of python programming in the field of kinematics and helps the planners to visualize the working nature of the synthesized mechanism. In the present context, the authors have considered eight link gear variable topology mechanism in this paper which is synthesized using a complex number approach. This synthesized mechanism is studied using MATLAB programming and the various positions obtained are taken into the consideration for python programming. These advanced tools create an insight among the design engineers on the working nature of the mechanism. The operating condition of the synthesized eight link gear variable topology mechanism in two different phases is analyzed using python programming. This shows the mechanism operating condition in two different phases and validates the output obtained with the help of visualization results in mechanism orientation.

The paper focuses on synthesis of slider crank mechanism consisting of a single gear as a part of input and output of the mechanism. Complex number method is used as one of the synthesis criteria. This is a planar four link gear slider mechanism having one degree of freedom which is considered for synthesis using variable topology method for the task of motion generation. The mechanism consists of three revolute and one slider joints. Synthesized mechanism exhibits the features of variable topology mechanism in different modes of operation.