SYNTHESIS OF 4-BAR FUNCTION GENERATOR WITH MINIMUM STRUCTURAL ERROR BY USING COMPUTATIONAL APPROACH
Keywords:
Four bar function generator, Precision points, Chebishev’s Spacing, Frudenstain equation, Structural error, Cummulative error, Grubler's criterion, Transmission angle, link ratioAbstract
In the present wok, an attempt has been to design a four bar function generator, which will generate a given
continuous function within a certain range with minimum structural error. While designing the four bar function
generator, other critical parameters like transmission angle and a link ratio (ratio of maximum and minimum link
lengths) has been taken as a set of constrains. This type of optimization problem with inequality constraint is difficult to
solve by classical optimization method as well as by numerical optimization method. Also graphical methods are poor
in accuracy and error is increased in making the scale of drawing to small or in determination of the point of interaction
of two lines at a small angle to each other. Therefore there is still a need for the development of new techniques for
solving these type of optimization problems. As they cannot ensure the global optimum always. In this investigation, one
of the ways to solve this type of engineering problem is converting the range of function in to small incremental steps and
implementing the whole process by applying computational method. The main advantage of this method is that the
chance of its solutions for getting trapped in to local minimum is more. Moreover, a global minimum is found by
applying a proper algorithm which is computationally efficient.
