Analytical Approach to Calculating the Dynamic Characteristics and Flywheel of a Six-Link Crank Press Mechanism

Abstract

The paper presents a methodology for the dynamic design of a hybrid crank press based on the Stephenson six-link mechanism, which is widely used in modern servo presses. A detailed analysis is carried out on the motion nonuniformity coefficient, the characteristics of the disturbing torque, as well as the procedure for determining the flywheel’s moment of inertia and the average velocity under steady-state conditions. Special attention is given to studying the influence of the mass and geometry of the base link on the system's dynamic behavior. It is shown that, with a proper selection of these parameters, the base link can act as a built-in counterweight, significantly reducing rotational nonuniformity and dynamic errors of the mechanism. This, in turn, allows for a reduction in the required flywheel mass, which is especially important when designing energy-efficient machines. The study employs an analytical approach incorporating mathematical modeling and numerical analysis techniques. Algorithms for solving the system’s differential equations of motion are developed, and dynamic errors are evaluated. The derived formulas and numerical results confirm the effectiveness of the proposed methodology and demonstrate its practical applicability. The method is particularly useful for the preliminary design of presses, enabling consideration of energy and vibration-dynamic characteristics at early design stages. The results can be utilized in the development of intelligent drive systems for stamping equipment.