Path-Constrained Points synthesis of symmetric mechanisms for prescribed higher-order curvature features. (January 2022)

• Record Type: Journal Article
• Authors: Cera, M.; Cirelli, M.; Pennestrì, E.; Salerno, R.; Valentini, P.P.
• Is Part Of: Mechanism and machine theory. Volume 167(2022)
• Publication Date: 2022-01
• Subjects: Intrinsic geometry -- Higher-path curvature -- Centrifugal pendulum vibration absorber -- Generalized Burmester points -- Path-Constrained Points synthesis -- Mechanical generation of curves; Machine theory -- Periodicals; Machinery -- Periodicals; Machines -- Périodiques; Génie mécanique -- Périodiques; Machine theory; Machinery; Periodicals; 621.81
• DOI: 10.1016/j.mechmachtheory.2021.104562
• Languages: English
• ISSNs: 0094-114X

Abstract

Abstract: The kinematic synthesis of higher-order path generator mechanisms is herein addressed. Assuming mechanisms in a symmetric configuration, a coupler path sharing up to eight infinitesimally separated points with the ideal curve can be achieved. The novel design methodology is based on "Path-Constrained Points" (PCPs) for the characterization of the coupler motion. In particular, given the higher-order curvature features of the curve to be mechanically approximated, the mechanism link length ratios are analytically computed. The PCPs approach has been herein developed for the four-bar and the swinging-block linkages, but can be extended to a wide class of mechanisms. To speed-up computations, design charts solutions have been also prepared. Finally, the numerical examples and the coupler path plots allow to evaluate the accuracy of the proposed procedure. Highlights: Synthesis of symmetric path-generator mechanisms with seventh order matching. Mechanism kinematics described through the curvature features of its constraints. Numerical examples for the synthesis of four-bar and swinging block linkages. Application toward the design of centrifugal pendulum vibration absorbers.