Reduction of Input Torque and Joint Reactions in High-Speed Mechanical Systems with Reciprocating Motion

In high-speed machinery, the variable inertia forces generated by reciprocating masses often introduce undesirable effects, such as a significant increase in the required input torque and joint forces. This paper addresses the challenge of reducing input torque and joint reaction forces in such mechanisms by employing two compression linear springs positioned between the slider and the frame. These springs counterbalance the slider's inertia force, thereby diminishing both the input torque and joint reactions. It is important to note that the elastic forces exerted by these springs remain internal to the mechanical system, preserving the balance of shaking forces and moments of the mechanism on the frame. The analytical framework developed in this study focuses on minimizing the root mean square and maximum values of the inertia force effects. A significant scientific achievement is attaining a given goal through an analytical solution. Notably, this is the first instance where this problem has been formulated and solved using explicit expressions. The effectiveness of the proposed technique is also demonstrated through CAD simulations, showing a substantial reduction in input torque and joint reactions.