Including Geometric Feature Variations in Tolerance Analysis of Mechanical Assemblies

References

• ANSI (American National Standard Institute) (1982) Dimensioning and Tolerancing, ANSI Y14.5M-1982, American Society of Mechanical Engineers (ASME), New York.
   Google Scholar
• Chase, K.W. and Parkinson, A.R. (1991) A survey of research in the application of tolerance analysis to the design of mechanical assemblies. Research in Engineering Design, 3, 23–37.
   Google Scholar
• Chase, K.W., Gao, J. and Magleby, S.P. (1994) Generalized 2-D assembly tolerance analysis method with small kinematic adjustments (submitted).
   Google Scholar
• Chun, K.S. (1988) Development of two-dimensional tolerance modeling methods for CAD systems. M.S. Thesis, Mechanical Engineering department, Brigham Young University.
   Google Scholar
• Foster, L.W. (1986) GEO-METRICS, Addison-Wesley Publishing Company.
   Google Scholar
• Foster, L.W. (1992) GEO-METRICS II, Addison-Wesley Publishing Company.
   Google Scholar
• Gao, J. (1993) Nonlinear tolerance analysis of mechanical assemblies. Ph.D. Dissertation, Mechanical Engineering department, Brigham Young University.
   Google Scholar
• Gao, J., Chase, K.W. and Magleby, S.P. (1994) Generalized 3D assembly tolerance analysis method with small kinematic adjustments (submitted).
   Google Scholar
• Gao, J. Chase, K.W. and Magleby, S.P. (1995), Comparison of assembly tolerance analysis by the direct linearization and modified monte carlo simulation methods. Proc of the ASME Design Engineering Technical Conference, Boston, MA. Sept. 17–20, DE-82(1), 353–360.
   Google Scholar
• Gilbert, O.L. (1992) Representation of geometric variations using matrix transforms for statistical tolerance analysis in assemblies. M.S. Thesis, Massachusetts Institute of Technology, Department of Mechanical Engineering, Cambridge, MA.
   Google Scholar
• Goodrich, C.G. (1991) Representation and modeling of geometric form variations for 3-D tolerance analysis. M.S. Thesis, Mechanical Engineering department, Brigham Young University.
   Google Scholar
• Guilford, J. and Turner, J. (1993) Representational primitives for geometric tolerancing. Computer-Aided Design, 25, 577–586.
   Web of Science ®Google Scholar
• Gupta, S. and Turner, J. (1993) Variational solid modeling for tolerance analysis. IEEE Computer Graphics and Applications, 13, 64–74.
   Web of Science ®Google Scholar
• Hillyard, R.C. and Braid, I.C. (1978) Analysis of dimensions and tolerances in computer-aided design. Computer-Aided Design, 10(3), 209–214.
   Web of Science ®Google Scholar
• Lin, P.D. and Chen, J.F. (1994) Analysis of errors in precision for closed loop mechanisms. Journal of Mechanical Design, 116, 197–203.
   Web of Science ®Google Scholar
• Martino, P.M. and Gabriele, G.A. (1989) Application of variational geometry to the analysis of mechanical tolerances. Failure Prevention and Reliability, DE-16, 19–27.
   Google Scholar
• Requicha, A.G. (1983) Toward a theory of geometric tolerancing. International Journal of Robotics Research, 2(4), 45–60.
   Web of Science ®Google Scholar
• Robison, R.H. (1989) A practical method for three-dimensional tolerance analysis using a solid modeler. M.S. Thesis, Mechanical Engineering Department, Brigham Young University.
   Google Scholar
• Shah, J.J. and Miller, D.W. (1990) A structure for supporting geometric tolerances in product definition system for CIM. ASME Manufacturing Review, 3(1), 23–31.
   Google Scholar
• Veitschegger, W.K. and Wu, C. (1986) Robot accuracy analysis based on kinematics. IEEE Journal of Robotics and Automation, RA-2(3), 171–179.
   Google Scholar
• Ward, K. (1992) Integrating geometric form variations into tolerance analysis of 3-D assemblies. M.S. Thesis, Mechanical Engineering Department, Brigham Young University.
   Google Scholar
• Whitney, D.E., Gilbert, O.L. and Jastrzebski, M. (1994) Representation of geometric variations using matrix transforms for statistical tolerance analysis in assemblies. Research in Engineering Design, 6, 191–210.
   Web of Science ®Google Scholar