Conceptual design of mechanisms based on computational synthesis and simulation of kinematic building blocks

Kota, Sridhar; Chiou, Shean Juinn

doi:10.1007/bf01580146

Cited by 66 publications

(36 citation statements)

References 19 publications

(16 reference statements)

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“…These subsystems are designed and fabricated separately and integrated during assembly. A similar building block approach was proposed for mechanism design by Kota and Chiou (1992) for conventional rigid link mechanism synthesis. The building block method is captured in the flowchart shown in Fig.…”

Section: Overview Of Building Block Methodsmentioning

confidence: 99%

Building block method: a bottom-up modular synthesis methodology for distributed compliant mechanisms

2012

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Abstract. Synthesizing topologies of compliant mechanisms are based on rigid-link kinematic designs or completely automated optimization techniques. These designs yield mechanisms that match the kinematic specifications as a whole, but seldom yield user insight on how each constituent member contributes towards the overall mechanism performance. This paper reviews recent developments in building block based design of compliant mechanisms. A key aspect of such a methodology is formulating a representation of compliance at a (i) single unique point of interest in terms of geometric quantities such as ellipses and vectors, and (ii) relative compliance between distinct input(s) and output(s) in terms of load flow. This geometric representation provides a direct mapping between the mechanism geometry and their behavior, and is used to characterize simple deformable members that form a library of building blocks. The design space spanned by the building block library guides the decomposition of a given problem specification into tractable sub-problems that can be each solved from an entry in the library. The effectiveness of this geometric representation aids user insight in design, and enables discovery of trends and guidelines to obtain practical conceptual designs.

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Section: Overview Of Building Block Methodsmentioning

confidence: 99%

Building block method: a bottom-up modular synthesis methodology for distributed compliant mechanisms

2012

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“…However, the weighted value of a point property of approximation formulation in kinematic motion, based on the linear function of the total strata of a design tree, is inappropriate. Kota and Chiou [4], based on a mechanism combination matrix, adopted an operation constraint, which is similar to Liang et al's propertytransmission formulation of motion behaviors; however, it is irreversible, and its search is random and uncontrollable in depth, and thus liable to explosion. Tang and Zou [5] presented the conception of the compatibility of mechanism combination in the comprehensive automation design of a mechanical kinematic scheme (i.e.…”

Section: Introductionmentioning

confidence: 97%

“…In previous literature [2,4,8,9], only the building-block approach has been applied to studying the automatic accomplishment of mechanical system schemes, and this method is based only on the usage of standard equipment. Hoover and Rinderle [2] used the transformation rules of motion behavior to search for the kinematic motion of gear boxes, while Liang et al [3] extended the rules to the property-transmission formulation of motion behaviors, facilitating the workability and compatibility of the automatic design of a serial mechanical combination through mechanism combination by property transmission and property inheritance of motion behaviors.…”

Section: Introductionmentioning

confidence: 99%

Automatic Design Theory and Realization of Kinematic Schemes for Mechanism System

Zhang

Zhi-gang

Guo

et al. 2006

Front. Mech. Eng. China

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Based on an analysis of mechanism combination methods of a current mechanism system kinematic scheme, input/output kinematic behavior and their constraint relations were proposed to represent the kinematic behavior knowledge of a mechanism system. Furthermore, a tree structure of a kinematic behavior decomposition process for a mechanism system was provided. Considering multiple outputs for a mechanism system, the matching algorithm and the attributes propagation method of kinematic behavior were used to generate a mechanism combination scheme. Its intermediate design solution and the constraint relations between input and output are generated to fill the common blackboard. Moreover, using information in the blackboard as input motion, the behavior attributes of other process actions are transmitted to attribute items of the blackboard, which finally enables a computer-aided automatic design process of a mechanism system kinematic scheme. To avoid the problem of schemes combination explosion caused by unbounded depth in the search process, bounded depth-first search was used to control the number of expanded hierarchies for a design tree. Finally, an example was given to show its feasibility and solution efficiency.

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“…One of the first graph grammar formalism of planar mechanisms was given by Freundenstein [10] which was further developed by Kota [11] and Tsai [12]. The Systematic method of Tsai was also used by Li and Schmidt [13] in the development of an epicyclic gear train grammar.…”

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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Conceptual design of mechanisms based on computational synthesis and simulation of kinematic building blocks

Cited by 66 publications

References 19 publications

Building block method: a bottom-up modular synthesis methodology for distributed compliant mechanisms

Building block method: a bottom-up modular synthesis methodology for distributed compliant mechanisms

Automatic Design Theory and Realization of Kinematic Schemes for Mechanism System

A Graph Grammar Based Scheme for Generating and Evaluating Planar Mechanisms

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