Automated Synthesis and Optimization of Gear Train Topologies

Swantner, Albert; Campbell, Matthew I.

doi:10.1115/detc2009-86780

Cited by 6 publications

(4 citation statements)

References 11 publications

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“…Hence, the design will be closer to the completion by applying these grammar rules to the graph [11]. This graph synthesis approach have been used for solving problems of component selection [12], sheet metal design [13], and synthesis of gear trains [14]. For this study, once the graph grammar rules are defined, the computer can use these rule to explore the design space and synthesis new linkage for a given engineering design problem.…”

Section: Related Workmentioning

confidence: 99%

Automated Synthesis of Planar Mechanisms With Revolute, Prismatic and Pin-in-Slot Joints

Huang

Campbell

2015

Volume 5B: 39th Mechanisms and Robotics Conference

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This paper presents a graph synthesis approach to planar N-bar mechanisms with revolute (R), prismatic (P), and RP (pin-in-slot) joints. This novel graph synthesis method extends the enumeration to define the possible topologies for mechanisms with any mix of R-, P-, and RP-joints. Each topology is explicitly defined as a graph which can be viewed and simulated within an online kinematic simulator. This method successfully produces the same number of topologies for 6, 8, 10, and 12-bar revolute joint mechanisms as those shown in the existing literature. It explicitly calculates all topologies for 6, 8, and 10 bars with a mix of the three joint-types.

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Section: Related Workmentioning

confidence: 99%

Automated Synthesis of Planar Mechanisms With Revolute, Prismatic and Pin-in-Slot Joints

Huang

Campbell

2015

Volume 5B: 39th Mechanisms and Robotics Conference

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“…However, there are no generic and analytical evaluator modules that could be integrated into the graph grammar approach developed by the authors. Taking these drawbacks into account and building on recent graph grammar projects [14,15], the authors have developed a more generic scheme for generation and evaluation. The graph transformation method has been implemented within the GraphSynth framework [16].…”

Section: Introductionmentioning

confidence: 99%

A Graph Grammar Based Scheme for Generating and Evaluating Planar Mechanisms

Radhakrishnan

Campbell

2011

Design Computing and Cognition ’10

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The paper focuses on representing and evaluating planar mechanisms designed using graph grammars. Graph grammars have been used to represent planar mechanisms but there are disadvantages in the methods presently available. This is due to the lack of information in understanding the details of a mechanism represented by the graph since the graphs do not include information about the type of joints and components such as revolute links, prismatic blocks, gears and cams. In order to overcome the drawbacks in the existing methods, a novel representation scheme has been developed. In this method, the authors represent a variety of mechanism types by the use of labels and x, y position information in the nodes. A set of sixteen grammar rules that construct different mechanisms from the basic seed is developed, which implicitly represents a tree of candidate solutions. The scheme is tested to determine its capability in capturing the entire set of feasible planar mechanisms of one degree of freedom. In addition to the representation, another important consideration is the need for an accurate and generalized evaluator for kinematic analysis of the mechanism which, given the lack of information, may not be possible with current design automation schemes. The graph grammar based analysis module is implemented in an existing objectoriented grammar framework and the results have found this to be superior to existing commercial packages. Introduction -An OverviewThe process of designing planar mechanisms usually begins with a clear sense of the mechanisms function which may be in the form of path through space [1]. Cognition of this process is complex since there are a number of variables involved. The typical design process involves 664 P. Radhakrishnan and M.I. Campbell choosing a standard mechanism, customizing the mechanism by adding links, determining kinematic properties using analysis tools and then iterating to determine if the mechanism is able to satisfy the user requirements. In the process, the designer also determines the degrees of freedom, F, using Gruebler's criterion [2], which states where n is the number of links, j 1 refers to number of one degree-offreedom joints (like pivots and sliding blocks) and j 2 refers to the number of two degree-of-freedom joints (like a pin-in-a-slot) in the mechanism. Since most mechanisms have only a single-degree-of-freedom (F = 1) and are comprised of links and joints, the equation (shown above) is compelling as it easily describes what is, and what is not a valid solution. Other than fairly simple geometry methods like three-position synthesis and its higher-order variations, there are no specific guidelines for the design of a mechanism -just this single equation. As a result the design process is time consuming and iterative. This paper attempts a systematic approach of designing planar mechanisms that augments the traditional mechanism design process.The steps involved in the research is presented in Figure 1 which begins with the development of a new graph scheme for r...

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“…This would be impossible for a human designer based on the sheer number of different gear choices available at each step of the design. [41][42][43] 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. The graph-based modeling of gear transmission system can be carried out with different levels and aspects, depending upon the requirements.…”

Section: Introductionmentioning

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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Automated Synthesis and Optimization of Gear Train Topologies

Cited by 6 publications

References 11 publications

Automated Synthesis of Planar Mechanisms With Revolute, Prismatic and Pin-in-Slot Joints

Automated Synthesis of Planar Mechanisms With Revolute, Prismatic and Pin-in-Slot Joints

A Graph Grammar Based Scheme for Generating and Evaluating Planar Mechanisms

A review of graph theory application research in gears

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