Inverse kinematic synthesis of motion generation four-bar stamping mechanism

Abstract

Stamping mechanism is found in different shapes and forms in the market. The stamping mechanism synthesis in this paper is unconventional Stamping mechanism where function/motion based synthesis have been presented using nonlinear optimization algorithm carried in matrix inversion or inverse kinematics and Newton Raphson numerical method. The Intended motion of the stamping mechanism will be achieved using four-bar motion generation that will go through or approximately the prescribed poses. Also the synthesized mechanism must satisfy the design variables mentioned herein; Grashof’s condition should be incorporated in the optimization algorithm and should be satisfied. Another feature that should be incorporated to ascertain the functionality of the proposed work is the transmission angle (μ) which should be between 50o and 135o. Also the clearance for the stamping (stroke of the ram to bottom dead center (BDC)) should exceed 1 cm. The synthesized stamping machine was built in ADAMS to extract the trace path of the ram, transmission angle and driving crank angle. All results were within acceptable limits of the proposed conditions. The achieved mechanism motion passes through prescribed poses with very minimum error of 0.2% cm.