Kinematic modeling and simulation of dual-sided shaper machine using Newton-Euler and Lagrangian approaches

Most industries have various types of reciprocating machines for performing machine operations on small work pieces. Usually, the onside shaper machine is conventional and removes material from one job only at forward stroke thus, more machining time is needed to complete the production. To overcome this problem, a small dual shaper machine operating via a scotch yoke mechanism is developed for machining two work pieces at the same time to reduce the machining time and increase the production rate. Additionally, it has fewer moving parts than the conventional shaper does. For smooth operation of this machine it is important to develop an equation of motion for the whole system. However, most papers focus on mechanically designing the system for strength rather than its kinematic analysis. This project focuses on solving kinematic problems, and the equation of motion was developed via both the Newton–Euler approach and the Lagrange approach for proper motion of the whole system. The results were simulated via the MATLAB code.