A Hierarchical Decomposition Scheme for the Topological Synthesis of Articulated Gear Mechanisms

Chen, Dar‐Zen; Liu, C.-P.

doi:10.1115/1.2829452

Cited by 10 publications

(5 citation statements)

References 10 publications

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“…In the 1990s, many researchers worked on the topic of structural synthesis of kinematic chains, and some new methodologies were proposed by Chen et al. 62–70 Also, several new approaches to kinematic, power flow, static force, and efficiency analysis were presented by Hsieh et al. 2,71–74…”

Section: Graph-based Literature Surveymentioning

confidence: 99%

A review of graph theory application research in gears

Xue

Yang

2015

Proceedings of the Institution of Mechanical Engineers, Part C:

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Graph theory has been applied to gear train analysis and synthesis for many years, and it is an effective and systematic modeling approach in the design process of gear transmission. Based on more than 100 references listed in this paper, a review about the graph-based method for kinematic and static force analysis, power flow, and mechanical efficiency computation is presented. The method is based on the concept of fundamental circuit corresponding to a basic epicyclic gear train. A 1-dof epicyclic gear train and a two-stage planetary gear train are used to illustrate the application of this method. Besides, isomorphism identification in the synthesis process and enumeration of 1-dof epicyclic gear train graphs are surveyed particularly. Also, the computerized methods for detection of redundant gears and degenerate structures in epicyclic gear trains are reviewed, respectively.

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Section: Graph-based Literature Surveymentioning

confidence: 99%

A review of graph theory application research in gears

Xue

Yang

2015

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…In 1999, Chen and Liu [104] established a hierarchical model to represent the structural topology of an articulated gear mechanism based on the structure decomposition. In 2000,…”

Section: Modularization Based On the Topological Structural Of Mechanmentioning

confidence: 99%

On the Number of Specialized Mechanisms

Hung

Yan

2008

Volume 2: 32nd Mechanisms and Robotics Conference, Parts a and B

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This work presents a systematic procedure for completely generating the number of non-isomorphic specialized mechanisms from kinematic chains subject to design constraints for planar mechanisms. By assigning the specific types of members and joints in the available atlas of candidate kinematic chains, the atlas of specialized mechanisms are obtained. Furthermore, based on the combinatorial mathematics, the number of specialized mechanisms are counted and verified from the mathematical expressions. A motorcross suspension mechanism and the interior mechanism of Zhang Heng’s seismoscope are used as examples to illustrate this procedure.

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“…Shan and Wang [9] categorized the coordination-based decomposition patterns into hierarchical decomposition and nonhierarchical decomposition. The hierarchical decomposition methods [2,[15][16][17] can decompose a system by considering the inherent hierarchical structure of the original system. However, it is difficult to decompose an original system into a perfectly hierarchical structure with uncoupled subsystems at each of the same levels because most practical engineering systems are nonhierarchical and are comprised of a large number of elements that are intricately coupled with each other.…”

Section: Introductionmentioning

confidence: 99%

A Decomposition Method for Exploiting Parallel Computing Including the Determination of an Optimal Number of Subsystems

Jung¹,

Park

Choi

2013

Journal of Mechanical Design

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Many practical design problems are multidisciplinary and typically involve the transfer of complex information between analysis modules. In solving such problems, the method for performing multidisciplinary analyses greatly affects the speed of the total design time. Thus, it is very important to group and order a multidisciplinary analysis (MDA) process so as to minimize the total computational time and cost by decomposing a large multidisciplinary problem into several subsystems and then processing them in parallel. This study proposes a decomposition method that exploits parallel computing, including the determination of an optimal number of subsystems by using a multi-objective optimization formulation and a messy genetic algorithm (GA) modified to handle discrete design variables. In the suggested method, an MDA process is decomposed and sequenced for simultaneously minimizing the feedback couplings within each subsystem, the total couplings between subsystems, the variation of computation times among subsystems, and the computation time of each subsystem. The proposed method is applied to the decomposition of an artificial complex system example and a multidisciplinary design problem of a rotorcraft with 17 analysis modules; promising results are presented using this proposed method.

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A Hierarchical Decomposition Scheme for the Topological Synthesis of Articulated Gear Mechanisms

Cited by 10 publications

References 10 publications

A review of graph theory application research in gears

A review of graph theory application research in gears

On the Number of Specialized Mechanisms

A Decomposition Method for Exploiting Parallel Computing Including the Determination of an Optimal Number of Subsystems

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