Definition of dimensional tolerances in mobile assemblies from sensitivity index
Keywords:
Mechanisms Synthesis, Mechanisms sentivity, condition numberAbstract
It is showed the development of mathematicalmodels to perform sensitivity analysis ofmechanisms to the dimensional tolerances of thelinks that form the basis of analytical synthesismodels based on generalized coordinates. It wasto propose a performance index based on thecondition number of the sensitivity matrix, whichcan be used as a criterion for select configurationsof mechanisms that provide fewer errors whenpassing through the positions of accuracy, whenchanges occur in the dimensions of the links. Anexample of using this index.
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References
K. G. Merkley, K. W. Chase, E. Perry. (2001) AnIntroduction to Tolerance Analysis of FlexibleAssemblies Brigham Young University Provo, UT,
Sacks, E. & Joskowicz, L. (1997) ParametricKinematic Tolerance Analysis of PlanarMechanisms Computer-Aided Design, 29(5), 333–342.
Martin,D & Murray,A. (2002) Developingclassifications for synthesizing, refining, andanimating planar mechanisms. Proceedings ofDECT’02 ASME 2002 Design EngineeringTechnical Conferences and Computers andInformation in Engineering Conference Montreal,Canada, 2002
M. Siva Kumar & B. Stalin (2009) Optimum tolerancesynthesis for complex assembly with alternativeprocess selection using Lagrange multiplier methodInternational Journal of Advanced ManufacturingTechnology (2009) 44:405–411
Chase K, Gao J & Magleby S (1997). General 2-DTolerance Analysis of Mechanical Assemblieswith Small Kinematic Adjustments. BrighamYoung University
Andrew Kusiak and Chang-Xue Feng (1995)Deterministic tolerance synthesis: a comparativestudy. Computer-AidedDesign,Vol. 27, No. 10,pp, 759-768.
Laperriere L., EIMaraghy H. (2000) ToleranceAnalysis and Synthesis Using Jacobian TransformsCIRP Annals - Manufacturing Technology Vol 49Issue 1 359-362
Haoyu Wang, Nilmani Pramanik, Utpal Roy,Rachuri Sudarsan, Ram D. Sriram, Senior Member,IEEE, and Kevin W. Lyons. (2006) A Scheme forMapping Tolerance Specifications to GeneralizedDeviation Space for Use in Tolerance Synthesisand Analysis. IEEE Transactions On AutomationScience And Engineering, Vol. 3, No. 1, January2006 81-91
Wua F, Dantan JY., Etienne A., Siadat A., MartinP. (2009) Improved algorithm for toleranceallocation based on Monte Carlo simulation anddiscrete optimization. Computers & IndustrialEngineering 56 (2009) 1402–1413
Gao J, Chase K, Magleby S (1998). Globalcoordinate method for determining sensitivityin assembly tolerance analysis. Brigham YoungUniversity Provo, UT
Chase K W. Gao J., Magleby S, Sorensen C. (2002)Including Geometric Feature Variations in ToleranceAnalysis of Mechanical Assemblies:Brigham YoungUniversity..
Faerber, P. Tolerance Analysis of Assemblies usingkinematically derived sensitivities: Brigham YoungUniversity. ADCATS Report No. 99-31999.
Caro,S , Bennis F., Wenger P. (2005) ToleranceSynthesis of Mechanisms: A Robust DesignApproach. Journal of Mechanical Design. Volume127, Issue 1, 86
Sacks, E. & Joskowicz, L. (1997) ParametricKinematic Tolerance Analysis of PlanarMechanisms Computer-Aided Design, 29(5), 333–342.
Martin,D & Murray,A. (2002) Developingclassifications for synthesizing, refining, andanimating planar mechanisms. Proceedings ofDECT’02 ASME 2002 Design EngineeringTechnical Conferences and Computers andInformation in Engineering Conference Montreal,Canada, 2002
M. Siva Kumar & B. Stalin (2009) Optimum tolerancesynthesis for complex assembly with alternativeprocess selection using Lagrange multiplier methodInternational Journal of Advanced ManufacturingTechnology (2009) 44:405–411
Chase K, Gao J & Magleby S (1997). General 2-DTolerance Analysis of Mechanical Assemblieswith Small Kinematic Adjustments. BrighamYoung University
Andrew Kusiak and Chang-Xue Feng (1995)Deterministic tolerance synthesis: a comparativestudy. Computer-AidedDesign,Vol. 27, No. 10,pp, 759-768.
Laperriere L., EIMaraghy H. (2000) ToleranceAnalysis and Synthesis Using Jacobian TransformsCIRP Annals - Manufacturing Technology Vol 49Issue 1 359-362
Haoyu Wang, Nilmani Pramanik, Utpal Roy,Rachuri Sudarsan, Ram D. Sriram, Senior Member,IEEE, and Kevin W. Lyons. (2006) A Scheme forMapping Tolerance Specifications to GeneralizedDeviation Space for Use in Tolerance Synthesisand Analysis. IEEE Transactions On AutomationScience And Engineering, Vol. 3, No. 1, January2006 81-91
Wua F, Dantan JY., Etienne A., Siadat A., MartinP. (2009) Improved algorithm for toleranceallocation based on Monte Carlo simulation anddiscrete optimization. Computers & IndustrialEngineering 56 (2009) 1402–1413
Gao J, Chase K, Magleby S (1998). Globalcoordinate method for determining sensitivityin assembly tolerance analysis. Brigham YoungUniversity Provo, UT
Chase K W. Gao J., Magleby S, Sorensen C. (2002)Including Geometric Feature Variations in ToleranceAnalysis of Mechanical Assemblies:Brigham YoungUniversity..
Faerber, P. Tolerance Analysis of Assemblies usingkinematically derived sensitivities: Brigham YoungUniversity. ADCATS Report No. 99-31999.
Caro,S , Bennis F., Wenger P. (2005) ToleranceSynthesis of Mechanisms: A Robust DesignApproach. Journal of Mechanical Design. Volume127, Issue 1, 86
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Published
2010-06-01
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How to Cite
Definition of dimensional tolerances in mobile assemblies from sensitivity index. (2010). Avances: Investigación En Ingeniería, 1(12), 77-82. https://revistas.unilibre.edu.co/index.php/avances/article/view/2677
