Isomorphism and automorphism in closed kinematic chains

Abstract

Effective mechanisms are the need of growing engineering world, the roots of which were found long back in the history of simple machines, but in today’s scenario it changes the pace of development of any country by the use of robots, numeric control machines, automated transfer lines, space exploration programs defense systems etc. for this sound and effective mechanisms are required everywhere. Hence demand for the development new effective mechanisms increases day by day. At the starting phase in the designing of mechanisms structural requirements obtained from the functional requirements, but if there is some error in choosing the unique functional requirement to be converted into the structural requirement there may be a chance that the mechanism will not work or if it works it may be an isomer of some other kinematic chain in that situation it is a loss of effort, time of the designer and also the loss of money. The present work facilitates the designer to check the isomorphism and automorphism during the conceptual phase of designing the kinematic chain.