Dimensional synthesis of a planar five-bar mechanism for motion between two extreme positions

Abstract

This paper suggests the dimensional synthesis of a planar five-bar mechanism of variable topology using dyadic and triadic techniques. The mechanism consists of two binary links with two offset tracing points and transmits motion between two extreme positions. Synthesis of mechanism for standard kinematic task is considered. The analytical displacement equations have been written using complex numbers. The effectiveness of mechanism synthesis has been demonstrated on a numerical example. The equations are solved and verified using MATLAB. The main attractions of method are simplicity, reduced solution space, non-iterative results and better accuracy due to non-dependence on graphical techniques.

Keywords:

• Complex numbers
• dimensional synthesis
• dyadic equation
• extreme positions
• five-bar
• variable topology