Identification of kinematic chains, mechanisms, path generators and function generators using min codes

Ambekar, Aarti G.; Agrawal, Vikesh

doi:10.1016/0094-114x(87)90063-2

Cited by 24 publications

(8 citation statements)

References 4 publications

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“…Agarwal and Rao proposed Variable permanent function to identify multi loop kinematic chains [7]. Method of Canonical coding of kinematic chains is presented by Ambekar and Agarwal a [8] but it is computationally uneconomical for large kinematic chain. Hamming number technique [9] is reliable and efficient, but when the primary Hamming string fails, it require the computation of the secondary Hamming string which is time consuming.…”

Section: Introductionmentioning

confidence: 99%

A New Concept to Detect Isomorphism in Kinematic Chains using Fuzzy Similarity Index

ShaneHaiderRizvi¹,

Hasan²,

Khan³

2014

IJCA

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Section: Introductionmentioning

confidence: 99%

A New Concept to Detect Isomorphism in Kinematic Chains using Fuzzy Similarity Index

ShaneHaiderRizvi¹,

Hasan²,

Khan³

2014

IJCA

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“…i.e., DFX 1 , DFX 2 , DFX 3 , DFX 4 , DFX 5 , DFX 6 . It says that all these six design aspects must be considered separately but at a time when complete understanding of the design system can be achieved.…”

Section: Design Permanent Functionmentioning

confidence: 99%

“…The graph theoretic systems approach is extensively applied in various disciplines of science and technology. Ambekar and Agrawal [6] applied the graph theoretic methodology to the structural similarity, classification, isomorphism of kinematic chains, and mechanisms. Gandhi and Agrawal [7,8] successfully applied the graph theory to failure cause analysis, reliability, and wear analysis.…”

Section: Introductionmentioning

confidence: 99%

Design for ‘X’-abilities of RTM Products - A Graph Theoretic Approach

Prabhakaran

Babu

Agrawal

2006

Concurrent Engineering

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The resin transfer molding (RTM) process has been widely accepted for fabricating automobile, aircraft, and spacecraft components with high strength and stiffness to weight ratios of the composite products. This process is widely acceptable in various industries, i.e., wherever low manufacturing cost with high mass production is required compared to other processes like compression molding and hand lay-up. Designing the composite products requires a lot of skill with multidisciplinary knowledge. Considering the design and the manufacturing strategies as well as the product development, every aspect of the design is to be considered in a single approach without losing any information. The present approach gives a new methodology for combining all the design aspects together in concurrent design methodology, which finally leads to the achievement of the six-sigma limits i.e., almost defect-free products from the RTM technology. The present paper utilizes the advantages of the graph theoretic approach to considering all the design aspects together in a single methodology with the help of matrix algebra and permanents. It is basically a virtual design methodology, which decides the process, the product strength, and the weakness with the help of a multinomial defined by using the matrix algebra. The design index, developed using the proposed methodology, really decides if the overall design is acceptable or not by considering all the aspects of the design related to the product, process, environment, etc. Finally, a step-by-step procedure is proposed to help generate a new algorithm for software coding.

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“…The task is to determine number of possible distinct mechanisms of the chain. Identification of the distinct mechanisms: Observing the row wise similarity of Eigenvectors of corresponding links (without considering its sign) listed in Table 5, it is found that the links (1, 2), (3,4), (5,6) and (7,8) are equivalent links and forms the four distinct mechanism. Link 9 has the distinct eigenvectors, forms the fifth distinct mechanism.…”

Section: Test For Isomorphism Of Kinematic Chainsmentioning

confidence: 99%

“…Mruthyunjaya and Balasubramanian [6] worked on characteristic polynomial of a vertex-vertex degree matrix; they brought light on counter examples. Ambekar and Agrawal [7] proposed max code and min code methods for the detection of isomorphism. Shin and Krishnamurthy [8] presented the standard code theory for the detection of isomorphism.…”

Section: Introductionmentioning

confidence: 99%

A New Approach for Isomorphism Identification among Compound Kinematic Chains and Mechanisms

Dargar¹

2013

ujme

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Structure synthesis of mechanisms is a pivotal issue in the field of mechanical innovation and mechanical conceptual design. The present work deals with problem of detection of isomorphism which is frequently encountered in structural synthesis of kinematic chains. A new approach based on a combination of eigenvalues and eigenvectors which are further associated with the modified adjacency matrix is proposed. The proposed method not only effective but also more efficient than that are based on the adjacency matrices and capable of detecting isomorphism in all types of compound KC, i.e. chains of single or multi degree of freedom with simple or multiple joints. This study will help the designer to select the best KC and mechanisms to perform the specified task at conceptual stage of design. Some examples are provided to demonstrate the effectiveness of this method.

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Identification of kinematic chains, mechanisms, path generators and function generators using min codes

Cited by 24 publications

References 4 publications

A New Concept to Detect Isomorphism in Kinematic Chains using Fuzzy Similarity Index

A New Concept to Detect Isomorphism in Kinematic Chains using Fuzzy Similarity Index

Design for ‘X’-abilities of RTM Products - A Graph Theoretic Approach

A New Approach for Isomorphism Identification among Compound Kinematic Chains and Mechanisms

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