Application of Screw Theory to Constraint Analysis of Mechanical Assemblies Joined by Features

[+] Author and Article Information
Jeffrey D. Adams, Daniel E. Whitney

Sanmina, Inc., 560 Arapeen Dr., Salt Lake City, UT 84108MIT, Center for Technology, Policy and Industrial Development, 77 Massachusetts Ave., Rm. E40-243, Cambridge, MA 02139

J. Mech. Des 123(1), 26-32 (Aug 01, 1999) (7 pages) doi:10.1115/1.1334858 History: Received August 01, 1999
Copyright © 2001 by ASME
Your Session has timed out. Please sign back in to continue.


Lee, D. J., and Thornton, A., 1996, “The Identification and Use of Key Characteristics in the Product Development Process,” ASME 8th Design Theory and Methodology Conference.
Mantripragada, R., Cunningham, T., and Whitney, D. E., 1996, “Assembly Oriented Design: A New Approach to Designing Assemblies,” Fifth IFIP WG 5.2 Workshop on Geometric Modeling in Computer-Aided Design, Airlie, Virginia.
Mantripragada,  R., and Whitney,  D. E., 1998, “The Datum Flow Chain: A Systematic Approach to Assembly Design and Modeling,” Res. Eng. Des.
Zhang, G., and Porchet, M., 1993, “Some New Developments in Tolerance Design in CAD,” ASME Advances in Design Automation, DE-Vol 65-2, pp. 175–185.
Shah,  J. J., and Rogers,  M. T., 1993, “Assembly Modeling as an Extension of Feature-Based Design,” Res. Eng. Des., 5, pp. 218–237.
Sweder, T. A., and Pollock, J., 1994, “Full Vehicle Variability Modeling,” SAE Paper, Reprint #942334. SAE Inc.
Hart-Smith, D. J., 1997, “Interface Control-The Secret to Making DFMA Succeed,” presented at Society of Automotive Engineers.
Kriegel,  J. M., 1995, “Exact Constraint Design,” Mech. Eng. (Am. Soc. Mech. Eng.), May, pp. 88–90.
Adams, J. D., 1998, “Feature-based Analysis of Selective Limited Motion in Assemblies,” MIT SM thesis, Mechanical Engineering Department.
Whitney, D., Adams, J. D., and Gerbino, S., 1999, “Application of Screw Theory to Motion Analysis of Mechanical Assemblies,” IEEE International Symposium on Assembly and Task Planning, Porto Portugal, July.
Mantripragada,  R., and Whitney,  D. E., 1999, “Modeling and Controlling Variation Propagation in Mechanical Assemblies Using State Transition Models,” IEEE Trans. Rob. Autom., 15, No. 1, Feb., pp. 124–140.
Shah, J. J., and Mantyla, M., 1995, Parametric and Feature-Based CAD/CAM: Concepts, Techniques, and Applications, Wiley, New York, NY.
Shah, J. J., and Zhang, B. C., 1992, “Attributed Graph Model for Geometric Tolerancing,” ASME: Advances in Design Automation, DE-Vol. 44-2, pp. 133–140.
De Fazio,  T. L., , 1993, “A Prototype of Feature-Based Design for Assembly,” ASME J. Mech. Des., 115, pp. 723–734.
Anderson, D. C., and Chang, T. C., “Geometric Reasoning in Feature-Based Design and Process Planning,” Comput. Graph., 14 , No. 2, pp. 225–235.
Mascle, C., Jabbour, T., and Maranzana, R., 1997, “Assembly Features for Mechanical Product Data,” 1997 IEEE International Symposium on Assembly and Task Planning, Marina del Rey, CA, pp. 218–223.
Kim,  M. G., and Wu,  C. H., 1994, “Modeling of Part-Mating Strategies for Automating Assembly Operations for Robots,” IEEE Trans. Syst. Man Cybern., 24, No. 7, pp. 1065–1074.
Ball, R. S., 1900, A Treatise on the Theory of Screws, Cambridge University Press, Cambridge.
Waldron,  K. J., 1966, “The Constraint Analysis of Mechanisms,” J. Mec., 1, pp. 101–114.
Hunt, K. H., 1978, Kinematic Geometry of Mechanisms, Clarendon Press, Oxford.
Baker,  J. E., 1980, “Screw System Algebra Applied to Special Linkage Configurations,” Mech. Mach. Theory, 15, pp. 255–265.
Davies,  T. H., 1981, “Kirchoff’s Circulation Law Applied to Multi-Loop Kinematic Chains,” Mech. Mach. Theory, 16, pp. 171–183.
Mason, M. T., and Salisbury, J. K., 1985, Robot Hands and the Mechanics of Manipulation, MIT, Press, Cambridge, MA.
Ohwovoriole,  M. S., and Roth,  B., 1981, “An Extension of Screw Theory,” ASME J. Mech. Des., 103, pp. 725–735.
Konkar,  R., and Cutkosky,  M., 1995, “Incremental Kinematic Analysis of Mechanisms,” ASME J. Mech. Des., 117, pp. 589–596.
Clement, A., Riviere, A., and Serre, P., 1995, “A Declarative Information Model for Functional Requirements,” 4th CIRP Seminar Computer Aided Tolerancing, 5-6/04/95, pp. 1–20, Tokyo, Japan.
Whitehead, T. N., 1954, The Design and Use of Instruments and Accurate Mechanism, Dover Press, New York, (reissue of 1934 edition).
Slocum, A. H., 1991, Precision Machine Design, Prentice-Hall, New York.
Smith, S. T., and Chetwynd, D. G., 1992, Foundations of Ultraprecision Mechanism Design, Philadelphia Gordon and Breach.
Mantripragada, R., Adams, J. D., Rhee, S. H., and Whitney, D. E., 1999, “Integrated Computer Tools for Top-Down Assembly Design and Analysis,” IEEE Robotics and Automation Conference, Detroit.
Adams, J. D., and Whitney, D. E., 1999, “Application of Screw Theory to Constraint Analysis of Assemblies of Rigid Parts,” IEEE International Symposium on Assembly and Task Planning, Porto, July.


Grahic Jump Location
Feature 4: Pin and slotted hole
Grahic Jump Location
Feature 5: Round pin in prismatic slot
Grahic Jump Location
Feature 6: Round pin in through or blind hole
Grahic Jump Location
Feature 7: Threaded joint
Grahic Jump Location
Feature 8: Plate-plate lap joint
Grahic Jump Location
Feature 9: Pin in oversize hole
Grahic Jump Location
Feature 10: Pin in slotted hole
Grahic Jump Location
Pin-hole-slot combination assembly
Grahic Jump Location
Second pin-hole-slot combination example
Grahic Jump Location
Feature 1: Prismatic pin in prismatic hole
Grahic Jump Location
Feature 2: Pin in through-hole
Grahic Jump Location
Feature 3: Prismatic slot, prismatic pin



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