Revisiting the degree of quick-return of the linkage considering programmable input for contemporary mechanical systems

Abstract

Starting from the programmable motion performance of modern actuation technology, this study elucidates that the degree of quick-return in a mechanical system is no longer entirely dependent on mechanism design. A theoretical framework is proposed for analyzing and synthesizing the degree of quick-return in contemporary mechanical systems based on time efficiency. This study adopts a functional perspective, first extending the traditional definition describing the degree of quick-return mechanism to encompass broader mechanical systems. Subsequently, we present a general formula for calculating the time-ratio and travel velocity-ratio coefficients under contemporary technological conditions, supported by a detailed mathematical derivation. Finally, a corresponding procedure is established for analyzing and synthesizing the degree of quick-return in a mechanical system, fostering improved collaboration between managers and designers. Case studies demonstrate that designers can achieve the desired degree of quick-return in mechanical systems and robots by leveraging time efficiency. The theoretical framework introduced in this paper is versatile and can benefit various industries, notably the field of robotics. This broadens the applicability of the degree of quick-return concept, marking a significant advancement in enhancing the time efficiency of mechanical systems.