An algorithm for the construction of generalized kinematic chains

Yan, Hong Sen; Chiu, Yu Ting

doi:10.1016/j.mechmachtheory.2012.11.005

Cited by 36 publications

(12 citation statements)

References 16 publications

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“…Function-related conceptual and creative designs have been attracting constantly researchers from all over the world and are still discussed [32][33][34][35][36][37][38][39][40][41][42].…”

Section: Structure-to-function Mappingmentioning

confidence: 99%

On Crossley's contribution to the development of graph based algorithms for the analysis of mechanisms and gear trains

Pennestrı̀

Belfiore

2015

Mechanism and Machine Theory

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This paper celebrates a particular branch of Crossley's early work dedicated to Mechanism Science, which deals with a rigorous introduction of Graph Theory to the study of some fundamental and intrinsic properties of kinematic chains and mechanisms. Although such idea gave its main outcome in Type and Number Synthesis (which has been much better and extensively described in another paper of the present special issue) some other intriguing side effects appeared, later in Mechanism Science, which yielded several results, and are still in the center of research and industrial world interest, such as, to name but a few, the automatic generation of the equations governing kinematic, static force and dynamic analysis of mechanisms and geared trains, the power flow analysis, the computation of the efficiency and, finally, the never fully explored structure-to-function mapping, which the present contribution points out to be still a challenge in the field

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“…Function-related conceptual and creative designs have been attracting constantly researchers from all over the world and are still discussed [32][33][34][35][36][37][38][39][40][41][42].…”

Section: Structure-to-function Mappingmentioning

confidence: 99%

On Crossley's contribution to the development of graph based algorithms for the analysis of mechanisms and gear trains

Pennestrı̀

Belfiore

2015

Mechanism and Machine Theory

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“…In the 1960s, many researchers [23][24][25][26][27][28][29][30][31][32][33][34][35][36][37] demonstrated the feasibility of synthesizing the kinematic structure of mechanisms with closed chains by means of graph theory.…”

Section: Graph Theorymentioning

confidence: 99%

“…In which few of KCs have cut-links. In 2013, Yan and Chiu [34,35] proposed an enumeration algorithm for the construction of generalized KCs, based on graph theory, including the atlas of KCs for mechanisms and the atlas of rigid chains for structures. Furthermore, the numbers of generalized KCs with up to 16 links are listed.…”

Section: Graph Theorymentioning

confidence: 99%

On the number synthesis of kinematic chains

Yan

Chiu

2015

Mechanism and Machine Theory

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“…Case-based approach 10,11 or design-by-analogy approach 12,13 is widely used for reusing previous design solutions in the functional synthesis of mechanisms. Yan and Chiu 14 discussed generalized kinematic chains-based mechanism synthesis algorithm in detail. Soong and Chang 15 proposed function generation method for a four-bar linkage.…”

Section: Introductionmentioning

confidence: 99%

Functional synthesis of mechanisms under cost consideration

Huang

2014

Proceedings of the Institution of Mechanical Engineers, Part B:

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Functional synthesis of mechanisms plays a crucial role in mechanical product design, which has an essential effect on the product innovation and cost. However, current functional synthesis algorithms of mechanisms are either inextensible to achieve complex mechanism solutions or prone to a loss of optimal solutions without consideration of cost. This article proposed a systematic kinematic state-based methodology for functional synthesis of mechanisms under cost consideration. After a general functional representation model based on the kinematic state pair is proposed with a result of the kinematic state space, an exhaustive functional synthesis of the kinematic state pair with the lowest cost algorithm is then proposed to produce solutions with K-lowest cost. The functional synthesis of a feeding mechanism device for cold heading machine is given as an example, which demonstrates that the methodology is obviously helpful to produce valuable functional chain solutions with low cost.

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An algorithm for the construction of generalized kinematic chains

Cited by 36 publications

References 16 publications

On Crossley's contribution to the development of graph based algorithms for the analysis of mechanisms and gear trains

On Crossley's contribution to the development of graph based algorithms for the analysis of mechanisms and gear trains

On the number synthesis of kinematic chains

Functional synthesis of mechanisms under cost consideration

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