DESIGN THROUGH COMMON GRAPH REPRESENTATIONS

Current paper introduces a new technique that enables to solve design problems through their discrete mathematical models called – graph representations. When different engineering fields are represented by the same (common) graph representation, channels for knowledge transformation are paved between these fields. Current paper employs these knowledge transformation channels for design, by transforming a design problem into a design problem in another (secondary) engineering domain. Then, a search is performed in the secondary domain for existent solution. Once such solution is found, it is transformed back to the original domain through the same graph representation based channel. The paper provides a thorough design case study demonstrating the idea behind the proposed technique.Copyright © 2003 by ASME

[1]  Offer Shai Duality between statical and kinematical engineering systems , 2002 .

[2]  Lung-Wen Tsai,et al.  Dynamic Analysis of Geared Robotic Mechanisms Using Graph Theory , 1998 .

[3]  Offer Shai,et al.  The multidisciplinary combinatorial approach (MCA) and its applications in engineering , 2001, Artificial Intelligence for Engineering Design, Analysis and Manufacturing.

[4]  G. S. Alʹtshuller,et al.  40 Principles: TRIZ Keys to Technical Innovation , 1998 .

[5]  Ali Kaveh Graphs and structures , 1991 .

[6]  E. R. Maki,et al.  The Creation of Mechanisms According to Kinematic Structure and Function , 1979 .

[7]  Ferdinand Freudenstein,et al.  Some Applications of Graph Theory to the Structural Analysis of Mechanisms , 1967 .

[8]  James R. Rinderle,et al.  Transforming behavioural and physical representations of mechanical designs , 2002 .

[9]  Lena Qian,et al.  Creative design by analogy , 2002 .

[10]  Horace M. Trent,et al.  Isomorphisms between Oriented Linear Graphs and Lumped Physical Systems , 1955 .

[11]  Clive L. Dym,et al.  Fundamentals of Modeling and Analyzing Engineering Systems , 2000 .

[12]  Dieter Jungnickel,et al.  Graphs, Networks, and Algorithms , 1980 .

[13]  Ralph Judson Smith,et al.  Electronics: Circuits and Devices , 1965 .

[14]  Offer Shai,et al.  The duality relation between mechanisms and trusses , 2001 .

[15]  Offer Shai,et al.  Utilization of the dualism between determinate trusses and mechanisms , 2002 .

[16]  John McPhee,et al.  On the use of linear graph theory in multibody system dynamics , 1996 .

[17]  Steven J. Fenves,et al.  NETWORK-TOPOLOGICAL FORMULATION OF STRUCTURAL ANALYSIS , 1963 .

[18]  Offer Shai,et al.  Isomorphic Representations and Well-Formedness of Engineering Systems , 1999, Engineering with Computers.

[19]  O. Shai Deriving structural theorems and methods using Tellegen's theorem and combinatorial representations , 2001 .

[20]  Offer Shai COMBINATORIAL REPRESENTATIONS IN STRUCTURAL ANALYSIS , 2001 .

[21]  Lung-Wen Tsai,et al.  Computer-Aided Sketching of Epicyclic-Type Automatic Transmission Gear Trains , 1996 .

[22]  Warren P. Seering,et al.  Synthesis of schematic descriptions in mechanical design , 1989 .

[23]  Sundaram Seshu,et al.  Linear Graphs and Electrical Networks , 1961 .