0
TECHNICAL PAPERS

Grammar-Based Designer Assistance Tool for Epicyclic Gear Trains

[+] Author and Article Information
Xin Li

Department of Mechanical Engineering, University of Maryland, College Park, MD 20742-3035e-mail: lixin@eng.umd.edu

Linda Schmidt

Department of Mechanical Engineering, University of Maryland, College Park, MD 20742-3035e-mail: lschmidt@eng.umd.edu

J. Mech. Des 126(5), 895-902 (Oct 28, 2004) (8 pages) doi:10.1115/1.1767823 History: Received February 01, 2004; Online October 28, 2004
Copyright © 2004 by ASME
Your Session has timed out. Please sign back in to continue.

References

Tsai, L. W., 2000, Mechanism Design: Enumeration of Kinematic Structures According to Function, CRC Press, New York.
Schmidt,  L., Shetty,  H., and Chase,  S., 2000, “A Graph Grammar Approach to Mechanism Synthesis,” ASME J. Mech. Des., 122(3), pp. 371–376.
Shetty, H., 1998, “A Graph Grammar Approach to the Generation of Non-Isomorphic Graphs for the Structure Synthesis of Mechanisms,” in Mechanical Engineering, University of Maryland: College Park.
Gips, J., and Stiny, G., 1971, “Shape Grammars and the Generative Specifications of Painting and Sculpture,” Information Processing 71, North-Holland, Amsterdam.
Stiny,  G., 1980, “Introduction to Shape and Shape Grammars,” Environment and Planning B: Planning and Design, 7, pp. 343–351.
Mitchell, W. J., 1991, “Functional Grammars: An Introduction in Computer Aided Design” Architecture ’91: Reality and Virtual Reality Los Angeles, CA.
Longenecker,  S. N., and Fitzhorn,  P. A., 1991, “A Shape Grammar for Non-Manifold Modeling,” Research in Engineering Design, 2, pp. 159–170.
Brown, K. N., McMahon, C. A., and Williams, S., 1994, “A Formal Language for the Design of Manufacturable Objects,” Formal Design Methods for CAD. North Holland.
Brown,  K. N., and Cagan,  J., 1997, “Optimized Process Planning by Generative Simulated Annealing,” AI EDAM, 11, pp. 219–235.
Reddy,  G., and Cagan,  J., 1995, “Optimally Directed Truss Topology Generation Using Shape Annealing,” ASME J. Mech. Des., 117, pp. 206–209.
Shea,  K., and Cagan,  J., 1997, “A Shape Annealing Approach to Optimal Truss Design with Dynamic Grouping of Members,” ASME J. Mech. Des., 119, pp. 388–394.
Shea,  K., and Cagan,  J., 1999, “The Design of Novel Roof Trusses with Shape Annealing,” Design Studies, 20, pp. 3–20.
Schmidt, L. C., and Cagan, J., 1993, “Recursive Annealing: A Computational Model for Machine Design,” Dtm ’93, Albuquerque; NM: ASME.
Schmidt,  L. C., and Cagan,  J., 1997, “GGREADA: A Graph Grammar-based Machine Design Algorithm,” Research in Engineering Design, 9(4), pp. 195–213.
Agarwal,  M., and Cagan,  J., 1998, “A Blend of Different Tasts: The Language of Coffee Makers,” Environment and Planning B: Planning and Design, 25, pp. 205–226.
Agarwal,  M., Cagan,  J., and Stiny,  G., 2000, “A Micro-language: Generating MEMS Resonators by using a Coupled Form-Function Shape Grammar,” Environment and Planning B: Planning and Design, 27(4), pp. 615–626.
Starling, A. C., and Shea, K., 2002, “A Clock Grammar: The Use of A Parallel Grammar in Performance-Based Mechanical Synthesis,” CD-ROM ASME DETC2002 14th International Conference on Design Theory and Methodology, Montreal, QC, ASME.
Antonsson, E. K., and Cagan, J., eds., 2001, Formal Engineering Design Synthesis. Cambridge University Press.
Buchsbaum,  F., and Freudenstein,  F., 1970, “Synthesis of Kinematic Structure of Geared Kinematic Chains and Other Mechanisms,” Mech. Mach. Theory, 5, pp. 357–392.
Sohn,  W., and Freudenstein,  F., 1986, “An Application of Dual Graphs to the Automatic Generation of the Kinematic Structures of Mechanisms,” ASME J. Mech., Transm., Autom. Des., 108, pp. 392–398.
Freudenstein, F., and Dobrjanskkyj, L., 1965, “On a Theory for the Type Synthesis for Mechanisms,” Proceedings of the 11th International Congress of Applied Mechanics, Springer-Verlag.
Crossley, F., 1965, “The Permutation of Kinematic Chains of Eight Members or Less from the Graph-Theoretic Viewpoint,” Developments in Theoretical and Applied Mechanics, Pergamon Press, pp. 467–486.
Nadel,  B. A., and Lin,  J., 1991, “Automobile Transmission Design as a Constraint Satisfaction Problem: Modeling the Kinematic Level,” AI EDAM, 5, pp. 137–171.
Nadel,  B. A., Wu,  X., and Kagan,  D., 1993, “Multiple Abstraction Levels in Automobile Transmission Design: Constraint Satisfaction Formulations and Implementations,” International Journal of Expert Systems: Research and Applications, 6, pp. 489–559.
Hsu,  C.-H., 2002, “An Analytic Methodology for the Kinematic Synthesis of Epicyclic Gear Mechanisms,” ASME J. Mech. Des., 124(3), pp. 574–576.
Liu,  C.-P., and Chen,  D.-Z., 2000, “On the Embedded Kinematic Fractionation of Epicyclic Gear Trans,” ASME J. Mech. Des., 122(4), pp. 479–483.
Pennestri,  E., and Valentini,  P. P., 2003, “A Review of Formulas for the Mechanical Efficiency Analysis of Two Degrees-of-Freedom Epicyclic Gear Trains,” ASME J. Mech. Des., 125(3), pp. 602–608.
Chieng,  W. H., and Hoeltzel,  D. A., 1990, “A Combinatorial Approach for the Automatic Sketching of Planar Kinematic Chains and Epicyclic Gear Trains,” ASME J. Mech. Des., 112, pp. 6–15.
Chatterjee,  G., and Tsai,  L. W., 1996, “Computer-Aided Sketching of Epicyclic-Type Automatic Transmission Gear Trains,” ASME J. Mech. Des., 118, pp. 405–411.
Hsu, C.-H., Chang, C.-C., and Hsu, J.-J., 1999, “Structural Synethesis of Bevel-Gear Robotic Wrist Mechanisms,” Proceedings of the National Science Council ROC(A).
Hopcroft, J. E., and Wong, J. K., 1974, “A Linear Time Algorithm for the Isomorphism of Planar Graphs,” Proc. 6th Annual ACM Symposium On Theory of Computing, pp. 172–184.
Szykman, S., et al., 1999, The NIST Design Repository Project, in Advances in Soft Computing: Engineering Design and Manufacturing, R. Roy, T. Furuhashi, and P. K. Chawdhry, eds., Springer-Verlag, London, pp. 5–19.

Figures

Grahic Jump Location
Architecture of Designer Assistance Tool (DAT) for EGTs
Grahic Jump Location
Graph-grammar based structural synthesis method
Grahic Jump Location
Primitives of Epicyclic Gear Train
Grahic Jump Location
Parameters of the grammar primitives
Grahic Jump Location
Functional Schematic of four-link EGT
Grahic Jump Location
Data Structure for Sketching Functional Schematics
Grahic Jump Location
Interface for the EGT DAT

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In