The kinematics of curved profiles mating with a caged idle roller - higher-path curvature analysis. (October 2021)

• Record Type: Journal Article
• Authors: Cera, M.; Cirelli, M.; Pennestrì, E.; Valentini, P.P.
• Is Part Of: Mechanism and machine theory. Volume 164(2021)
• Publication Date: 2021-10
• Subjects: Caged-roller joint -- Instantaneous invariants -- Intrinsic geometry -- Higher-path curvature -- Centrifugal pendulum vibration absorber -- Trapezoidal CPVA; Machine theory -- Periodicals; Machinery -- Periodicals; Machines -- Périodiques; Génie mécanique -- Périodiques; Machine theory; Machinery; Periodicals; 621.81
• DOI: 10.1016/j.mechmachtheory.2021.104414
• Languages: English
• ISSNs: 0094-114X

Abstract

Highlights: Kinematics feature of the caged roller joint. Conjugated profiles theory. Higher order paths differential properties. Kinematic investigation of a non-sliding higher pair through intrinsic geometry framework. Analysis of cage-roller motion as particular case. Application to trapezoidal centrifugal pendulum vibration absorber. Development of a solution procedure for two kinematic problems regarding the caged roller joint: motion analysis and slot profiles synthesis. Abstract: This investigation focuses on the relative motion of a force-closure higher pair mechanism, herein termed caged-roller joint and composed of a cylindrical roller meshing with two slot profiles, carved on different bodies. A distinctive feature of such a mechanism is the pure rolling velocity constraint imposed between its components to limit friction losses. This makes the caged-roller joint an ideal candidate to control the kinematics of high-speed operating devices, such as centrifugal pendulum vibration absorbers. In this paper, a theoretical framework for the motion of caged-roller joint is proposed, employing intrinsic geometry, higher-path curvature and envelope theory. For design-analysis purposes, the correlations between instantaneous invariants, slots profiles curvature properties and pure rolling conditions within the higher pairs have been established. Eventually, the obtained results have been verified for three particular curves profiles, to test their consistency and offer an immediate application.