KINEMATIC ANALYSIS OF A NEW DESIGNED EIGHT-LINK RIVETER MECHANISM

This paper is devoted to the kinematic analysis of a newly designed eight-link riveter mechanism consisting of two quaternary links out of which one is fixed. The mechanism also has four binary links and two sliding links. Three common types of motion employing constant acceleration, simple harmonic and cycloidal are considered as the inputs while the corresponding output are analysed for each link and two toggle position are studies. Three vector loop non-linear equations are formed which can be solved by numerical methods. The equation for displacement analysis is solved by Newton-Raphson technique. Apart from this, on successive differentiation of position equations with respect to time determine the velocity and acceleration for other links of the mechanism. The paper shows the mathematical model to de-couple one velocity and one acceleration matrix into two matrices of different orders for simplifying the solution process. Computer programming is used to simulate the mathematical model to optimize the same. One numerical example is given for illustration. Finally, the respective results are plotted against the crank in full range of motion analysis.