Kinematic analysis of geared linkage mechanisms

Synthesis of Geared Planar Linkage Mechanisms through the Segmentation of Multiloop Mechanisms into Discrete Chains

“…While these findings open some intriguing applications for the basic four-bar mechanism, the focus of this paper is instead turned towards two or more degrees of freedom mechanisms that are constrained down to a single degree of freedom through the addition of geared connections. We propose accomplishing the synthesis task for planar GPLMs by Wei-Qing Cao and Tuan-Jie Li discuss the idea of breaking a geared linkage mechanism into its independent loops, but they primarily focus on the kinematic analysis of an existing mechanism and are less concerned with designing a new mechanism for a specified task [30]. In the same vein, they also discuss the decomposition of geared mechanisms into sub-chains using tricolor graph organization [31].…”

“…Wei-Qing Cao and Tuan-Jie Li discuss the idea of breaking a geared linkage mechanism into its independent loops, but they primarily focus on the kinematic analysis of an existing mechanism and are less concerned with designing a new mechanism for a specified task [30]. In the same vein, they also discuss the decomposition of geared mechanisms into sub-chains using tricolor graph organization [31].…”

Analysis of novel geared linkage mechanisms

“…Geared linkage mechanisms are composed of one or more linkages and gear pairs, and are widely used in machines and vehicles. Over the years, studies of geared linkage mechanisms have mainly focused on structural synthesis, kinematic analysis, and dimensional synthesis (Beiner, 2001, Buskiewicz, 2010, Hsu and Lam, 1993, Hsu and Hsu, 1997, Lee and Freudenstein, 1978, Lin and Chen, 2000, Lin, et al, 2004, Lin and Cao, 2005, Modler, et al, 2009, Mundo and Gatti, 2008, Mundo, et al, 2009, Parlaktas, et al, 2010. A number of researchers have applied graph theory to the structural synthesis of these mechanisms (Hsu and Lam, 1993, Hsu and Hsu, 1997, Lin and Chen, 2000, Lin, et al, 2004.…”

“…A number of researchers have applied graph theory to the structural synthesis of these mechanisms (Hsu and Lam, 1993, Hsu and Hsu, 1997, Lin and Chen, 2000, Lin, et al, 2004. Moreover, some interesting and important results have been obtained regarding kinematic synthesis and analysis, leading to desired kinematic functionalities such as optimum transmission, exact path generation, large swinging angle motions, step motions, and dwell motions (Beiner, 2001, Lee and Freudenstein, 1978, Lin and Cao, 2005, Parlaktas, et al, 2010. Synthesis of geared linkages with non-circular gears has also been studied (Mundo, et al, 2009, Mundo and Gatti, 2008, Mundo, et al, 2009.…”