Application of screw theory to motion analysis of assemblies of rigid parts

Screw theory is well known to do kinematic computations. Recently it has been used to create kinematic models of assembly features so allowing assembly analysis. Motion limit analysis uses the mathematics of screw theory to model the ability of mechanical assembly features to allow or constrain rigid body motions in six degrees of freedom. A user of this theory is able to determine the directions and quantitative amounts of possible finite rigid body motions of a part that is being added to an assembly via calculation applied to a defined set of assembly features. The ability to calculate rigid body motions of a part is important for enabling in-process adjustment during assembly to precisely establish key assembly dimensions. MLA software is a part of a suite of software programs used to do assembly analysis.

[1]  R. Konkar,et al.  Incremental Kinematic Analysis of Mechanisms , 1995 .

[2]  T. A. Sweder,et al.  Full Vehicle Variability Modeling , 1994 .

[3]  R. Ball A treatise on the theory of screws, by Sir Robert Stawell Ball. , .

[4]  Jami J. Shah,et al.  Attributed graph model for geometric tolerancing , 1992, DAC 1992.

[5]  Daniel E. Whitney,et al.  Modeling and controlling variation propagation in mechanical assemblies using state transition models , 1999, IEEE Trans. Robotics Autom..

[6]  Daniel E. Whitney,et al.  A Prototype of Feature-Based Design for Assembly , 1991, MIT-JSME Workshop.

[7]  D. C. Anderson,et al.  Geometric reasoning in feature-based design and process planning , 1990, Comput. Graph..

[8]  K. Waldron The constraint analysis of mechanisms , 1966 .

[9]  Bernard Roth,et al.  An Extension of Screw Theory , 1981 .

[10]  Daniel E. Whitney,et al.  The Datum Flow Chain: A systematic approach to assembly design and modeling , 1998 .

[11]  Christian Mascle,et al.  Assembly features for mechanical product data , 1997, Proceedings of the 1997 IEEE International Symposium on Assembly and Task Planning (ISATP'97) - Towards Flexible and Agile Assembly and Manufacturing -.

[12]  T. Davies,et al.  Mechanical networks—II Formulae for the degrees of mobility and redundancy , 1983 .

[13]  Thomas L. DeFazio,et al.  Simplified generation of all mechanical assembly sequences , 1987, IEEE Journal on Robotics and Automation.

[14]  J.Eddie Baker,et al.  On relative freedom between links in kinematic chains with cross-jointing , 1980 .

[15]  T. Davies Kirchhoff's circulation law applied to multi-loop kinematic chains , 1981 .

[16]  Jami J. Shah,et al.  Parametric and Feature-Based CAD/CAM: Concepts, Techniques, and Applications , 1995 .

[17]  Chi-Haur Wu,et al.  A formal part mating model for generating compliance control strategies of assembly operations , 1990, 1990 IEEE International Conference on Systems, Man, and Cybernetics Conference Proceedings.

[18]  Daniel E. Whitney,et al.  Assembly oriented design: a new approach to designing assemblies , 1997 .

[19]  J.Eddie Baker On mobility and relative freedoms in multiloop linkages and structures , 1981 .

[20]  T. H Davies Mechanical networks—III Wrenches on circuit screws , 1983 .

[21]  Jami J. Shah,et al.  Assembly modeling as an extension of feature-based design , 1993 .

[22]  Jon M. Kriegel,et al.  Exact constraint design , 1995 .

[23]  T. Davies,et al.  Mechanical networks—I Passivity and redundancy , 1983 .

[24]  Chi-Haur Wu,et al.  Modeling of Part-Mating Strategies for Automating Assembly Operations for Robots , 1994, IEEE Trans. Syst. Man Cybern. Syst..

[25]  Matthew T. Mason,et al.  Robot Hands and the Mechanics of Manipulation , 1985 .

[26]  J.D. Adams,et al.  Application of screw theory to constraint analysis of assemblies of rigid parts , 1999, Proceedings of the 1999 IEEE International Symposium on Assembly and Task Planning (ISATP'99) (Cat. No.99TH8470).

[27]  C. Barus A treatise on the theory of screws , 1998 .

[28]  Jeffrey D. Adams Feature based analysis of selective limited motion in assemblies , 1998 .

[29]  K. H. Hunt,et al.  Kinematic geometry of mechanisms , 1978 .

[30]  J.Eddie Baker,et al.  Screw system algebra applied to special linkage configurations , 1980 .

[31]  L. J. Hart-Smith,et al.  Interface Control-The Secret to Making DFMA® Succeed , 1997 .