Time-dependent probabilistic synthesis for function generator mechanisms

Mechanism and Machine Theory

Volumn 46, Issue 9, 2011, Pages 1236-1250

  Zhang, Junfu ^a   Wang, Jinge ^a   Du, Xiaoping ^b  

^a XIHUA UNIVERSITY   (China)

^b University of Missouri Rolla   (United States)

Author keywords

Function generator; Mechanism synthesis; Time dependent reliability

Indexed keywords

FIRST ORDER SECOND MOMENT METHOD; FIRST-PASSAGE; MECHANISM SYNTHESIS; MOTION ERRORS; POISSON APPROXIMATIONS; SYNTHESIS METHOD; TIME DEPENDENT RELIABILITY; TIME INTERVAL; TIME-DEPENDENT;

APPROXIMATION THEORY; KINEMATICS; MECHANICAL ENGINEERING; POISSON DISTRIBUTION; RELIABILITY;

FUNCTION GENERATORS;

EID: 79958279814     PISSN: 0094114X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechmachtheory.2011.04.008     Document Type: Article

References (47)

1. C.H. Suh, and C.W. Radcliffe Kinematics and Mechanism Design 1987 John Wiley & Sons, Inc.
2. A.G. Erdman, G.N. Sandor, and S. Kota Mechanism Design: Analysis and Synthesis 4th ed. 2001 Prentice Hall
3. F. Freudenstein Approximate synthesis of four-bar linkages Transactions of the ASME 77 1955 853 861
4. N.I. Levitskii, Y.L. Sarkissyan, and G.S. Gekchian Optimum synthesis of four-bar function generating mechanism Mechanism and Machine Theory 7 1972 387 398
5. C.H. Suh, and A.W. Mecklenburg Optimal design of mechanisms with the use of matrices and least squares Mechanism and Machine Theory 8 1973 479 495
6. K.K. Issac A nondifferentiable optimization algorithm for constrained minimax linkage function generation Journal of Mechanical Design 115 1993 978 987
7. S.K.I. Ullah Optimal synthesis of mechanisms for path generation using Fourier descriptors and global search methods Journal of Mechanical Design 119 1997 504 510
8. J. Yao, and J. Angeles Computation of all optimum dyads in the approximate synthesis of planar linkages for rigid-body guidance Mechanism and Machine Theory 35 2000 1065 1078
9. P.A. Simionescu, and D. Beale Optimum synthesis of the four-bar function generator in its symmetric embodiment: the Ackermann steering linkage Mechanism and Machine Theory 37 2002 1487 1504 (Pubitemid 35276225)
10. M.A. Laribi, A. Mlika, L. Romdhane, and S. Zeghloul A combined genetic algorithm-fuzzy logic method (GA-FL) in mechanisms synthesis Mechanism and Machine Theory 39 2004 717 735
11. R. Sancibrian, P. García, F. Viadero, and A. Fernández A general procedure based on exact gradient determination in dimensional synthesis of planar mechanisms Mechanism and Machine Theory 42 2006 212 229 (Pubitemid 41689853)
12. X. Du, P.K. Venigella, and D. Liu Robust mechanism synthesis with random and interval variables Mechanism and Machine Theory 44 2009 1321 1337
13. A.K. Mallik, A. Ghosh, and G. Dittrich Kinematic Analysis and Synthesis of Mechanisms 1994 CRC-Press
14. S.A. Kolhatkar, and D.K.S. Yajnik The effects of play in the joints of a function-generating mechanism Journal of Mechanisms 5 1970 521 532
15. C. Innocenti Kinematic clearance sensitivity analysis of spatial structures with revolute joints Journal of Mechanical Design 124 2002 52 57 (Pubitemid 35202496)
16. G.B. Chatterjee, and A.K. Mallik Mechanical error of a four-bar linkage coupler curve Mechanism and Machine Theory 22 1987 85 88 (Pubitemid 17532762)
17. K.L. Ting, J. Zhu, and D. Watkins The effects of joint clearance on position and orientation deviation of linkages and manipulators Mechanism and Machine Theory 35 2000 391 401 (Pubitemid 30530613)
18. M.J. Tsai, and T.H. Lai Accuracy analysis of a multi-loop linkage with joint clearances Mechanism and Machine Theory 43 2008 1141 1157
19. W. Wu, and S.S. Rao Interval approach for the modeling of tolerances and clearances in mechanism analysis Journal of Mechanical Design 126 2004 581 592
20. T.S. Liu, and J.D. Wang A reliability approach to evaluating robot accuracy performance Mechanism and Machine Theory 29 1994 83 94
21. A.K. Mallik, and S.G. Dhande Analysis and synthesis of mechanical error in path-generating linkages using a stochastic approach Mechanism and Machine Theory 22 1987 115 123
22. X. Wei-Liang, and Z. Qi-Xian Probabilistic analysis and Monte Carlo simulation of the kinematic error in a spatial linkage Mechanism and Machine Theory 24 1989 19 27
23. J.H. Rhyu, and B.M. Kwak Optimal stochastic design of four-bar mechanisms for tolerance and clearance ASME Journal of Mechanisms, Transmissions, and Automation in Design 110 1988 255 262
24. S.G. Dhande, and J. Chakraborty Analysis and synthesis of mechanical error in linkages-a stochastic approach Journal of Engineering for Industry, Transactions of the ASME 95 1973 672 676
25. J.R. Baumgarten, and K.V.D. Werffc A probabilistic study relating to tolerancing and path generation error Mechanism and Machine Theory 20 1985 71 76
26. J. Zhu, and K.L. Ting Uncertainty analysis of planar and spatial robots with joint clearances Mechanism and Machine Theory 35 2000 1239 1256
27. J. Chakraborty Synthesis of mechanical error in linkages Mechanism and Machine Theory 10 1975 155 165
28. Z. Shi Synthesis of mechanical error in spatial linkages based on reliability concept Mechanism and Machine Theory 32 1997 255 259 (Pubitemid 127416342)
29. L.L. Howell, S.S. Rao, and A. Midha Reliability-based optimal design of a bistable compliant mechanism Journal of Mechanical Design 116 1994 1115 1221
30. A.P. Bowlin, J.E. Renaud, J.T. Newkirk, and N.M. Patel Reliability-based design optimization of robotic system dynamic performance Journal of Mechanical Design 129 2007 449 455
31. J. Kim, W.J. Song, and B.S. Kang Stochastic approach to kinematic reliability of open-loop mechanism with dimensional tolerance Applied Mathematical Modelling 24 2010 1225 1237
32. P. Bhatti Probabilistic Modeling and Optimal Design of Robotic Manipulators, in 1989 Purdue University West Lafayette, Indiana
33. X. Du Reliability synthesis for mechanism Machine Design 13 1996 8 11 (in chinese)
34. V.I. Sergeyev Methods for mechanism reliability calculation Mechanism and Machine Theory 9 1974 97 106
35. Z. Shi, X. Yang, W. Yangc, and Q. Cheng Robust synthesis of path generating linkages Mechanism and Machine Theory 40 2005 45 54
36. B. Sudret Analytical derivation of the outcrossing rate in time-variant reliability problems Structure and Infrastructure Engineering: Maintenance, Management, Life-Cycle Design and Performance 4 2008 353 362
37. J. Yao, and J. Angeles The kinematic synthesis of steering mechanisms Transactions of the CSME 24 2000 24
38. R. Rackwitz Reliability analysis-a review and some perspectives Structural Safety 23 2001 365 395 (Pubitemid 34696460)
39. J. Zhang, and X. Du Time-dependent reliability analysis for function generator mechanisms Journal of Mechanical Design 133 2011 031005
40. C.A. Cornell Structural Safety Specifications Based on Second-moment Reliability 1969 Symposium Int. Association Bridges and Structural Engineering London
41. L.D. Lutes, and S. Sarkani Random Vibrations: Analysis of Structural and Mechanical Systems 2003 Elsevier Butterworth Heinemann
42. K. Schrupp, and R. Rackwitz Outcrossing rates of marked poisson cluster processes in structural reliability Applied Mathematical Modelling 12 1988 482 490
43. K. Breitung Asymptotic crossing rates for stationary Gaussian vector processes Stochastic Processes and their Applications 29 1988 195 207
44. K. Breitung Asymptotic approximations for the crossing rates of poisson square waves Procceeding of the Conference on Extreme Value Theory and Application Special Pulication 866 1993 NIST Gaithersburg/Maryland 75 80
45. C. Andrieu-Renaud, B. Sudret, and M. Lemaire The Phi2 method: a way to compute time-variant reliability Reliability Engineering & System Safety 84 2004 75 86
46. O. Hagen, and L. Tvedt Vector process out-crossing as parallel system sensitivity measure Journal of Engineering Mechanics 117 1991 2201 2220 (Pubitemid 21693367)
47. L.D. Lutes, and S. Sarkani Reliability Analysis of Systems Subject to First-Passage Failure NASA/CR-2009-215782 2009 NASA Langley Research Center