Tolerancing: Managing uncertainty from conceptual design to final product

Abstract Variability is unavoidable in the realization of products. While design must specify ideal geometry, it shall also describe limits of variability (tolerances) that must be met in order to maintain proper product function. Although tolerancing is a mature field, new manufacturing processes and design methodologies are creating new avenues of research, and modelling standards must also evolve to support these processes. In addition, the study of uncertainty has produced widely-accepted methods of quantifying variability, and modern tolerancing tools should support these methods. The challenges introduced by new processes and design methodologies continue to make tolerancing research a fertile and productive area.

[1]  Jaime A. Camelio,et al.  Modeling Variation Propagation of Multi-Station Assembly Systems With Compliant Parts , 2003 .

[2]  Joshua U. Turner,et al.  Variational solid modeling for tolerance analysis , 1993, IEEE Computer Graphics and Applications.

[3]  F. Martina,et al.  Design for Additive Manufacturing , 2019 .

[4]  Jean-Yves Dantan,et al.  Assembly specification by Gauge with Internal Mobilities (GIM)—A specification semantics deduced from tolerance synthesis , 2002 .

[5]  Serge Samper,et al.  Computer Aided Tolerancing - Solver and Post Processor Analysis , 2006 .

[6]  Mikael Hedlind,et al.  Model Driven Manufacturing Process Design and Managing Quality , 2016 .

[7]  Blaine Lilly,et al.  Mechanical Assemblies: their Design, Manufacture, and Role in Product Development , 2013 .

[8]  Liang Chang,et al.  Constructing a meta-model for assembly tolerance types with a description logic based approach , 2014, Comput. Aided Des..

[9]  Zbigniew Humienny,et al.  State of art in standardization in GPS area , 2009 .

[10]  Daniel Pierre Thunnissen,et al.  Propagating and Mitigating Uncertainty in the Design of Complex Multidisciplinary Systems , 2005 .

[11]  Paul J. Drake,et al.  Dimensioning and Tolerancing Handbook , 1999 .

[12]  S. Wu,et al.  TOLERANCE ANALYSIS FOR SHEET METAL ASSEMBLY USING A BEAM-BASED MODEL , 2013 .

[13]  Thomas H. Johnson,et al.  Relevance Lost: The Rise and Fall of Management Accounting , 1987 .

[14]  Atanas Ivanov,et al.  Review of feature boundary identification techniques for the characterization of tessellated surfaces , 2015 .

[15]  Hisayoshi Sato,et al.  Contribution of CIRP to the Development of Metrology and Surface Quality Evaluation during the last fifty years , 2001 .

[16]  Rikard Söderberg,et al.  The influence of spot weld position variation on geometrical quality , 2012 .

[17]  Rikard Söderberg,et al.  Computer Aided Assembly Robustness Evaluation , 1999 .

[18]  I. C. Braid,et al.  Characterizing non-ideal shapes in terms of dimensions and tolerances , 1978, SIGGRAPH.

[19]  Paul J. Scott,et al.  Surface texture specification, the more complete the better? , 2013 .

[20]  Rikard Söderberg,et al.  Simulation of the effect of geometrical variation on assembly and holding forces , 2013 .

[21]  Boris Eisenbart,et al.  Management of product characteristics uncertainty based on formal logic and characteristics properties model , 2013 .

[22]  Yanlong Cao,et al.  A Concurrent Design Method for Functional Tolerance and Structure based on the Principle of Decomposition and Reconstitution , 2013 .

[23]  Pierre Bourdet,et al.  AN INTEGRATED FRAMEWORK FOR 3D TOLERANCE CHAINS IN DESIGN AND MANUFACTURING , 2001 .

[24]  Jean-Yves Dantan,et al.  Geometrical product specifications - model for product life cycle , 2008, Comput. Aided Des..

[25]  Mikael Hedlind,et al.  Model-driven Process Planning and Quality Assurance , 2015 .

[26]  Walton M. Hancock,et al.  Computer aided tolerance analysis for improved process control , 2000 .

[27]  Rikard Söderberg,et al.  Strategies for Optimization of Spot Welding Sequence With Respect to Geometrical Variation in Sheet Metal Assemblies , 2010 .

[28]  Tyson R. Browning,et al.  Sources of Schedule Risk in Complex System Development , 1999 .

[29]  L. E. Farmer,et al.  Tolerance Technology — Computer-Based Analysis , 1986 .

[30]  Leo Joskowicz,et al.  Parametric kinematic tolerance analysis of planar mechanisms , 1997, Comput. Aided Des..

[31]  Polini Wilma,et al.  Manufacturing Signature for Tolerance Analysis , 2015 .

[32]  Sandro Wartzack,et al.  A GENERIC APPROACH TO SENSITIVITY ANALYSIS IN GEOMETRIC VARIATIONS MANAGEMENT , 2015 .

[33]  Lucienne Blessing,et al.  Stages in product lifecycle: Trans-disciplinary design context , 2014 .

[34]  B. Marguet,et al.  An assisted method for specifying ISO tolerances applied to structural assemblies , 2003 .

[35]  Jean-Yves Dantan,et al.  Formal Language for GeoSpelling , 2015, J. Comput. Inf. Sci. Eng..

[36]  Rikard Söderberg,et al.  Tolerance Simulation of Compliant Sheet Metal Assemblies Using Automatic Node-Based Contact Detection , 2008 .

[37]  C. A. Gladman Drawing Office Practice in Relation to Interchangeable Components , 1945 .

[38]  Georg Henzold Geometrical Dimensioning and Tolerancing for Design, Manufacturing and Inspection: A Handbook for Geometrical Product Specification using ISO and ASME standards , 2006 .

[39]  Kenneth W. Chase,et al.  A survey of research in the application of tolerance analysis to the design of mechanical assemblies , 1991 .

[40]  Francesco Ricci,et al.  A categorical model for uncertainty and cost management within the Geometrical Product Specification (GPS) framework , 2013 .

[41]  Kevin Otto,et al.  Extensions to the Taguchi method of product design , 1993 .

[42]  Sandro Wartzack,et al.  Evaluation of geometric tolerances and generation of variational part representatives for tolerance analysis , 2015 .

[43]  Michel van Tooren,et al.  Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles , 2011 .

[44]  Alan Duncan Fleming,et al.  Analysis of uncertainties and geometric tolerances in assemblies of parts , 1987 .

[45]  Denis Teissandier,et al.  Operations on polytopes: application to tolerance analysis , 2011, ArXiv.

[46]  Christopher J. Roy,et al.  A comprehensive framework for verification, validation, and uncertainty quantification in scientific computing , 2011 .

[47]  Leo Joskowicz,et al.  Kinematic tolerance analysis , 1995, Comput. Aided Des..

[48]  Jean-Yves Dantan,et al.  Tolerance Analysis based on Quantified Constraint Satisfaction Problems , 2013 .

[49]  Jean-Yves Dantan,et al.  Vectorial tolerance allocation of bevel gear by discrete optimization , 2008 .

[50]  Xuchu Jiang,et al.  Decision rules for workpieces based on total uncertainty , 2006 .

[51]  Rikard Söderberg,et al.  Minimizing Dimensional Variation and Robot Traveling Time in Welding Stations , 2014 .

[52]  Dean M. Robinson,et al.  Geometric Tolerancing for Assembly with Maximum Material Parts , 1998 .

[53]  Rikard Söderberg,et al.  Method for Handling Model Growth in Nonrigid Variation Simulation of Sheet Metal Assemblies , 2014, J. Comput. Inf. Sci. Eng..

[54]  T. Thomas,et al.  Roughness and function , 2013 .

[55]  Nabil Anwer,et al.  The skin model, a comprehensive geometric model for engineering design , 2013 .

[56]  Michael Yu Wang,et al.  Optimizing fixture layout in a point-set domain , 2001, IEEE Trans. Robotics Autom..

[57]  J. Y. Dantana,et al.  Tolerance analysis approach based on the classification of uncertainty (aleatory / epistemic) , 2018 .

[58]  Rikard Söderberg,et al.  Statistical shape modeling in virtual assembly using PCA-technique , 2013 .

[59]  Richard Bradley,et al.  Types of Uncertainty , 2014 .

[60]  Nabil Anwer,et al.  From reverse engineering to shape engineering in mechanical design , 2016 .

[61]  Bjørn Andersen,et al.  Variation Analysis in Collaborative Engineering; an Industrial Case Study of Rocket Motor Development☆ , 2014 .

[62]  Enrico Savio,et al.  Metrology of freeform shaped parts , 2007 .

[63]  Frank Härtig,et al.  Current state of standardization in the field of dimensional computed tomography , 2014 .

[64]  Russell S. Peak,et al.  STEP, XML, and UML: Complementary Technologies1 , 2004, J. Comput. Inf. Sci. Eng..

[65]  Joshua U. Turner,et al.  Review of statistical approaches to tolerance analysis , 1995, Comput. Aided Des..

[66]  Paul J. Scott,et al.  Freeform surface characterisation: theory and practice , 2014 .

[67]  Jhareswar Maiti,et al.  A review on dimensional tolerance synthesis: paradigm shift from product to process , 2012 .

[68]  Albert Weckenmann,et al.  Function-oriented method for the definition and verification of microstructured surfaces , 2013 .

[69]  Olivier Legoff,et al.  Manufacturing errors modelling: Two three-dimensional approaches , 2004 .

[70]  F. H. Speckhart,et al.  Calculation of Tolerance Based on a Minimum Cost Approach , 1972 .

[71]  Rikard Söderberg Robust Design by Support of CAT Tools , 1998, DAC 1998.

[72]  Boris Eisenbart,et al.  INTEGRATED PRODUCT MODELLING THROUGH IFM-CPM/PDD , 2016 .

[73]  Earle. Buckingham Principles of interchangeable manufacturing : a treatise on the basic principles involved in successful interchangeable manufacturing practice, covering design, tolerances, drawings, manufacturing equipment, gaging and inspection , 1921 .

[74]  Allison Barnard Feeney The STEP Modular Architecture , 2002, J. Comput. Inf. Sci. Eng..

[75]  A. Ismail-Yahaya,et al.  Multiobjective robust design using physical programming , 2002 .

[76]  J. Shah,et al.  Tolerance-Maps Applied to the Straightness and Orientation of an Axis , 2007 .

[77]  Rikard Söderberg,et al.  Defining perceived quality in the automotive industry: an engineering approach. , 2015 .

[78]  Rikard Söderberg,et al.  An Efficient Solution to the Discrete Least-Cost Tolerance Allocation Problem With General Loss Functions , 2005 .

[79]  Rikard Söderberg,et al.  Managing physical dependencies through location system design , 2006 .

[80]  V. Zeithaml Consumer Perceptions of Price, Quality, and Value: A Means-End Model and Synthesis of Evidence: , 1988 .

[81]  Rikard Söderberg,et al.  Virtual Geometry Assurance For Effective Product Realisation , 2006 .

[82]  Joseph K. Davidson,et al.  A Comparative Study Of Tolerance Analysis Methods , 2005, J. Comput. Inf. Sci. Eng..

[83]  M. M. Sfantsikopoulos,et al.  Cost–Tolerance Function. A New Approach for Cost Optimum Machining Accuracy , 2000 .

[84]  P. John Clarkson,et al.  Modelling the evolution of uncertainty levels during design , 2011 .

[85]  Xiangqian Jiang,et al.  Research on Specification Uncertainty in the Next Generation GPS , 2008 .

[86]  Erik K. Antonsson,et al.  Design parameter selection in the presence of noise , 1994 .

[87]  Alain Bernard,et al.  VCS: value chains simulator, a tool for value analysis of manufacturing enterprise processes (a value-based decision support tool) , 2012 .

[88]  Jaime A. Camelio,et al.  Diagnosis of multiple fixture faults in machining processes using designated component analysis , 2004 .

[89]  Ahmed Jawad Qureshi Contributions à la maîtrise de la robustesse des produits : formalisation par logique formelle, applications à la conception ensembliste et au tolérancement , 2011 .

[90]  Peter Hoffmann,et al.  Analysis of tolerances and process inaccuracies in discrete part manufacturing , 1982 .

[91]  Jean-Yves Dantan,et al.  Virtual meshing simulation for gear conformity verification , 2009 .

[92]  Alain Desrochers,et al.  Application of a Unified Jacobian-Torsor Model for Tolerance Analysis , 2003, J. Comput. Inf. Sci. Eng..

[93]  Tullio Tolio,et al.  Design and management of manufacturing systems for production quality , 2014 .

[94]  Giovanni Moroni,et al.  Optimal inspection strategy planning for geometric tolerance verification , 2014 .

[95]  Yu Ding,et al.  Process-oriented tolerancing for multi-station assembly systems , 2005 .

[96]  Gaurav Ameta,et al.  Comparison of Spatial Math Models for Tolerance Analysis: Tolerance-Maps, Deviation Domain, and TTRS , 2011, J. Comput. Inf. Sci. Eng..

[97]  Daniel E. Hastings,et al.  3.4.1 A Framework for Understanding Uncertainty and its Mitigation and Exploitation in Complex Systems , 2005 .

[98]  Joshua Lubell,et al.  Conformance checking of PMI representation in CAD model STEP data exchange files , 2015, Comput. Aided Des..

[99]  P. John Clarkson,et al.  Approaches to Mitigate the Impact of Uncertainty in Development Processes , 2009 .

[100]  Jean-Yves Dantan,et al.  Correlation uncertainty—Application to gear conformity , 2010 .

[101]  Jon C. Helton,et al.  Mathematical representation of uncertainty , 2001 .

[102]  Rikard Söderberg,et al.  Variation simulation of stress during assembly of composite parts , 2015 .

[103]  David J. Whitehouse,et al.  Technological shifts in surface metrology , 2012 .

[104]  Akira Kobayashi International Institution for Production Engineering Research , 1970 .

[105]  Sandro Wartzack,et al.  Shaping the digital twin for design and production engineering , 2017 .

[106]  Andrea Bohn,et al.  LINKAGE OF METHODS WITHIN THE UMEA METHODOLOGY - AN APPROACH TO ANALYSE UNCERTAINTIES IN THE PRODUCT DEVELOPMENT PROCESS , 2011 .

[107]  Bryan R. Fischer,et al.  Measuring the PMI Modeling Capability in CAD Systems: Report 1 - Combined Test Case Verification , 2015 .

[108]  G W Forbes,et al.  Characterizing the shape of freeform optics. , 2012, Optics express.

[109]  Pierre-Antoine Adragna,et al.  A proposition of 3D inertial tolerancing to consider the statistical combination of the location and orientation deviations , 2010, ArXiv.

[110]  Sandro Wartzack,et al.  Skin Model Shapes: A new paradigm shift for geometric variations modelling in mechanical engineering , 2014, Comput. Aided Des..

[111]  Erik K. Antonsson,et al.  Imprecision in Engineering Design , 1995 .

[112]  Rikard Söderberg,et al.  Combining Variation Simulation With Thermal Expansion for Geometry Assurance , 2012 .

[113]  Giovanni Moroni,et al.  Inspection Strategies and Multiple Geometric Tolerances , 2013 .

[114]  Alex Ballu,et al.  Geometrical reliability of overconstrained mechanisms with gaps , 2008 .

[115]  Bernard Anselmetti,et al.  ISO specifications of complex surfaces: Application on aerodynamic profiles , 2014 .

[116]  David H. Evans,et al.  Statistical Tolerancing: The State of the Art, Part I. Background , 1974 .

[117]  Alex Ballu,et al.  Choice of functional specifications using graphs within the framework of education , 1999 .

[118]  Farrokh Mistree,et al.  Robust Design for Multiscale and Multidisciplinary Applications , 2006 .

[120]  Jean-Yves Dantan,et al.  Cost engineering for variation management during the product and process development , 2017 .

[121]  S. A. Irani,et al.  Tolerance chart optimization , 1989 .

[122]  Farrokh Mistree,et al.  DECISION-BASED DESIGN - A CONTEMPORARY PARADIGM FOR SHIP DESIGN , 1990 .

[123]  R. Weill,et al.  Computer Aided Tolerancing and Dimensioning in Process Planning , 1986 .

[124]  Jean-Yves Dantan,et al.  Management of product design complexity due to epistemic uncertainty via energy flow modelling based on CPM , 2016 .

[125]  Stefano Petrò,et al.  Early cost estimation for tolerance verification , 2011 .

[126]  H. S. Nielsen,et al.  New concepts in specifications, operators and uncertainties and their impact on measurement and instrumentation , 2006 .

[127]  Paul Witherell,et al.  Towards Annotations and Product Definitions for Additive Manufacturing , 2016 .

[128]  Øyvind Bjørke,et al.  Computer Aided Tolerancing , 1989 .

[129]  Paul Witherell,et al.  Investigating the Role of Geometric Dimensioning and Tolerancing in Additive Manufacturing , 2015 .

[130]  Jean-Yves Dantan,et al.  Improved algorithm for tolerance allocation based on Monte Carlo simulation and discrete optimization , 2009, Comput. Ind. Eng..

[131]  Kristin L. Wood,et al.  Functional tolerancing: A design for manufacturing methodology , 1996 .

[132]  R. N. Roth,et al.  Genetic algorithms in statistical tolerancing , 1999 .

[133]  Anna C. Thornton Variation Risk Management Using Modeling and Simulation , 1999 .

[134]  F. Etesami A Mathematical Model for Geometric Tolerances , 1993 .

[135]  Robert G. Wilhelm,et al.  Task Specific Uncertainty in Coordinate Measurement , 2001 .

[136]  Ben Wang,et al.  Statistical tolerance analysis using FRPDF and numerical convolution , 1996, Comput. Aided Des..

[137]  Rikard Söderberg,et al.  Non-nominal path planning for robust robotic assembly , 2013 .

[138]  Joseph K. Davidson,et al.  A Framework for Explicating Formal Geometrical and Dimensional Tolerances Schema From Manufacturing Process Plans for Three-Dimensional Conformance Analysis , 2015, Journal of Computing and Information Science in Engineering.

[139]  Spencer P. Magleby,et al.  Tolerance Analysis of 2-D and 3-D Mechanical Assemblies with Small Kinematic Adjustments , 1997 .

[140]  Lars Lindkvist,et al.  Variation Simulation of Sheet Metal Assemblies Using the Method of Influence Coefficients With Contact Modeling , 2007 .

[141]  Tobias EIFLER,et al.  A classification of the industrial relevance of robust design methods , 2013 .

[142]  John Ahmet Erkoyuncu,et al.  Uncertainty driven service cost estimation for decision support at the bidding stage , 2013 .

[143]  Jean-Yves Dantan Comparison of Skin Model Representations and Tooth Contact Analysis Techniques for Gear Tolerance Analysis , 2015, J. Comput. Inf. Sci. Eng..

[144]  M. Kamali Nejad,et al.  Simulation of the geometrical defects of manufacturing , 2009 .

[145]  Bernard Anselmetti,et al.  Generation of manufacturing tolerancing with ISO standards , 2005 .

[146]  David J. Whitehouse,et al.  Function maps and the role of surfaces , 2001 .

[147]  David J. Whitehouse,et al.  The parameter rash — is there a cure? , 1982 .

[148]  Darek Ceglarek,et al.  Physics-driven shape variation modelling at early design stage , 2016 .

[149]  Sandro Wartzack,et al.  On uncertainties in simulations in engineering design: A statistical tolerance analysis application , 2014, International Conference on Advances in System Simulation.

[150]  Nabil Anwer,et al.  Integrated Tolerancing Process for conceptual design , 2003 .

[151]  Bernard Anselmetti,et al.  Optimization of a workpiece considering production requirements , 1993 .

[152]  Fouad Bennis,et al.  Analysis of positional tolerance based on the assembly virtual state , 1999 .

[153]  Yanlong Cao,et al.  Constructing the integrated strategic performance indicator system for manufacturing companies , 2015 .

[154]  Wenzhen Huang,et al.  Mode-based Decomposition of Part Form Error by Discrete-Cosine-Transform with Implementation to Assembly and Stamping System with Compliant Parts , 2002 .

[155]  Joseph K. Davidson,et al.  A New Mathematical Model for Geometric Tolerances as Applied to Round Faces , 2002 .

[156]  Leo Joskowicz,et al.  Kinematic tolerance analysis , 1997, Comput. Aided Des..

[157]  Spencer P. Magleby,et al.  Generalized 3-D tolerance analysis of mechanical assemblies with small kinematic adjustments , 1998 .

[158]  Robert L. Winkler,et al.  Uncertainty in probabilistic risk assessment , 1996 .

[159]  Luc Mathieu,et al.  Integrated Design Method to Improve Producibility based on Product Key Characteristics and Assembly Sequences , 2001 .

[160]  Zhihua Zou,et al.  A gap-based approach to capture fitting conditions for mechanical assembly , 2004, Comput. Aided Des..

[161]  G. Ameta,et al.  CHALLENGES IN TOLERANCE TRANSFER FOR ADDITIVE MANUFACTURING , 2016 .

[162]  M. F. Spotts Allocation of Tolerances to Minimize Cost of Assembly , 1973 .

[163]  Philippe Serré,et al.  Global Consistency of Dimensioning and Tolerancing , 1999 .

[164]  Rikard Söderberg,et al.  Structure and Matrix Models for Tolerance Analysis from Configuration to Detail Design , 2000 .

[165]  Caux Mickaël,et al.  3D ISO manufacturing specifications with vectorial representation of tolerance zones , 2012 .

[166]  I. Ham,et al.  Tolerancing for Function , 1988 .

[167]  Allison Barnard Feeney,et al.  A Portrait of an ISO STEP Tolerancing Standard as an Enabler of Smart Manufacturing Systems , 2014, J. Comput. Inf. Sci. Eng..

[168]  Patrick J. Flynn,et al.  A Survey Of Free-Form Object Representation and Recognition Techniques , 2001, Comput. Vis. Image Underst..

[169]  Yi Zhang,et al.  New reasoning algorithm for assembly tolerance specifications and corresponding tolerance zone types , 2011, Comput. Aided Des..

[170]  Y. S. Hong,et al.  A comprehensive review of tolerancing research , 2002 .

[171]  Jean-Yves Dantan,et al.  Statistical tolerance analysis of bevel gear by tooth contact analysis and Monte Carlo simulation , 2007 .

[172]  Kristina Wärmefjord,et al.  Variation Control in Virtual Product Realization - A Statistical Approach , 2011 .

[173]  Joseph K. Davidson,et al.  Areal Coordinates: The Basis of a Mathematical Model for Geometric Tolerances , 2003 .

[174]  Rikard Söderberg,et al.  Efficient Contact Modeling in Nonrigid Variation Simulation , 2016, J. Comput. Inf. Sci. Eng..

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

[176]  A. Desrochers Geometrical Variations Management in a Multi-Disciplinary Environment with the Jacobian-Torsor Model , 2007 .

[177]  Toshiaki Murakami,et al.  Structural Component Development of Three-Layer Cylinders for Superconducting Generators, Part 1: Selection of Layer-Bonding Method and Development of Long Large-Gauge Three-Layer Cylindrical Structure , 1997 .

[178]  Benjamin Haefner,et al.  Optimization of selective assembly and adaptive manufacturing by means of cyber-physical system based matching , 2015 .

[179]  Louis Rivest,et al.  Tolerancing a solid model with a kinematic formulation , 1994, Comput. Aided Des..

[180]  Z. Li,et al.  A Framework for Uncertainty Evaluation of GPS Standard-chain , 2004 .

[181]  Hugh McManus,et al.  A framework for understanding uncertainty and its mitigation and exploitation in complex systems , 2006, IEEE Engineering Management Review.

[182]  Rikard Söderberg,et al.  Toward a Digital Twin for real-time geometry assurance in individualized production , 2017 .

[183]  Yanru Zhong,et al.  Automatically generating assembly tolerance types with an ontology-based approach , 2013, Comput. Aided Des..

[184]  Fengzhou Fang,et al.  Manufacturing and measurement of freeform optics , 2013 .

[185]  Martin Ebro,et al.  Robust design principles for reducing variation in functional performance , 2016 .

[186]  Joseph K. Davidson,et al.  Using Tolerance-Maps to Generate Frequency Distributions of Clearance and Allocate Tolerances for Pin-Hole Assemblies , 2007, J. Comput. Inf. Sci. Eng..

[187]  Spencer P. Magleby,et al.  Including Geometric Feature Variations in Tolerance Analysis of Mechanical Assemblies , 1996 .

[188]  E. M. Mansoor The Application of Probability to Tolerances Used in Engineering Designs , 1963 .

[189]  Rikard Söderberg,et al.  Joining in Nonrigid Variation Simulation , 2016 .

[190]  Yi Zhang,et al.  A new method for automatic synthesis of tolerances for complex assemblies based on polychromatic sets , 2011, Enterp. Inf. Syst..

[191]  E. Iso,et al.  Measurement Uncertainty and Probability: Guide to the Expression of Uncertainty in Measurement , 1995 .

[192]  A. Weckenmann,et al.  Verifying the functional ability of microstructured surfaces by model-based testing , 2014 .

[193]  Rikard Söderberg,et al.  Using Morphing Techniques in Early Variation Analysis , 2014, J. Comput. Inf. Sci. Eng..

[194]  Rikard Söderberg,et al.  Simulating Part and Assembly Variation for Injection Molded Parts , 2012 .

[195]  Henrik S Nielsen Recent developments in International Organization for Standardization geometrical product specification standards and strategic plans for future work , 2013 .

[196]  Ram D. Sriram,et al.  Function-to-form mapping: model, representation and applications in design synthesis , 2001, Comput. Aided Des..

[197]  Anna C. Thornton,et al.  Process Capability Database Usage In Industry: Myth vs. Reality , 1999 .

[198]  Enrico Savio A methodology for the quantification of value-adding by manufacturing metrology , 2012 .

[199]  S. Jack Hu,et al.  Variation simulation for deformable sheet metal assemblies using finite element methods , 1997 .

[200]  John Ahmet Erkoyuncu,et al.  An innovative uncertainty management framework to support contracting for product-service availability , 2014 .

[201]  Rikard Söderberg,et al.  Evaluating Genetic Algorithms that Optimize Welding Sequence with Respect to Geometrical Assembly Variation , 2010 .

[202]  Jean-Yves Dantan,et al.  Activity-Based Tolerance Allocation (ABTA) – driving tolerance synthesis by evaluating its global cost , 2009 .

[203]  Serge Samper,et al.  Elastic Clearance Domain and Use Rate Concept Applications to Ball Bearings and Gears , 2007 .

[204]  Vijay Srinivasan Computational Metrology for the Design and Manufacture of Product Geometry: A Classification and Synthesis , 2007, J. Comput. Inf. Sci. Eng..

[205]  Enrico Savio,et al.  Economic benefits of metrology in manufacturing , 2016 .

[206]  B. Anselmetti,et al.  Functional tolerancing of complex mechanisms: Identification and specification of key parts , 2005, Comput. Ind. Eng..

[207]  Jean-Yves Dantan,et al.  Tolerance synthesis: quantifier notion and virtual boundary , 2005, Comput. Aided Des..

[208]  Herbert B. Voelcker,et al.  The current state of affairs in dimensional tolerancing: 1997 , 1998 .

[209]  Paul J. Besl,et al.  The Free-Form Surface Matching Problem , 1990 .

[210]  Nabil Anwer,et al.  Review of Shape Deviation Modeling for Additive Manufacturing , 2017 .

[211]  Jeffrey P. Kharoufeh,et al.  Statistical tolerance analysis for non-normal or correlated normal component characteristics , 2002 .

[212]  Claire Lartigue,et al.  Quality- and cost-driven assembly technique selection and geometrical tolerance allocation for mechanical structure assembly , 2014 .

[213]  Kevin Otto,et al.  A formal representational theory for engineering design , 1992 .

[214]  Jean-Yves Dantan,et al.  Variation management by functional tolerance allocation and manufacturing process selection , 2008 .

[215]  Qiang Huang,et al.  Statistical Predictive Modeling and Compensation of Geometric Deviations of Three-Dimensional Printed Products , 2014 .

[216]  Qiang Huang,et al.  State space modeling of dimensional variation propagation in multistage machining process using differential motion vectors , 2003, IEEE Trans. Robotics Autom..

[217]  A. Weckenmann,et al.  Productive Metrology - Adding Value to Manufacture , 2005 .

[218]  Reza Tavakkoli-Moghaddam,et al.  Mathematical modelling of a robust inspection process plan: Taguchi and Monte Carlo methods , 2015 .

[219]  A. Kiureghian,et al.  Aleatory or epistemic? Does it matter? , 2009 .

[220]  Aristides A. G. Requicha,et al.  Toward a Theory of Geometric Tolerancing , 1983 .

[221]  Jean Michel Sprauel,et al.  Synthesis of tolerancing by functional group , 2002 .

[222]  Yee Mey Goh,et al.  MANIFESTATION OF UNCERTAINTY - A CLASSIFICATION , 2011 .

[223]  Albert Weckenmann,et al.  A model- and simulation-based approach for tolerancing and verifying the functional capability of micro/nano-structured workpieces , 2015 .

[224]  Shiyu Zhou,et al.  Kinematic Analysis of Dimensional Variation Propagation for Multistage Machining Processes With General Fixture Layouts , 2007, IEEE Transactions on Automation Science and Engineering.

[225]  Daniel P. Thunnissen,et al.  Uncertainty Classification for the Design and Development of Complex Systems , 2003 .

[226]  Nabil Anwer,et al.  Deviation Modeling and Shape Transformation in Design for Additive Manufacturing , 2017 .

[227]  Jon C. Helton,et al.  Challenge Problems : Uncertainty in System Response Given Uncertain Parameters ( DRAFT : November 29 , 2001 ) , 2001 .

[228]  E. Sandgren,et al.  Tolerance Optimization Using Genetic Algorithms: Benchmarking with Manual Analysis , 1996 .

[229]  Reza Tavakkoli-Moghaddam,et al.  An intuitionistic fuzzy grey model for selection problems with an application to the inspection planning in manufacturing firms , 2015, Eng. Appl. Artif. Intell..

[230]  Joshua U. Turner,et al.  Using Monte-Carlo variance reduction in statistical tolerance synthesis , 1997, Comput. Aided Des..

[231]  Karl T. Ulrich,et al.  Product Design and Development , 1995 .

[232]  Joshua U. Turner,et al.  Estimating gradients for statistical tolerance synthesis , 1996, Comput. Aided Des..

[233]  John Ahmet Erkoyuncu,et al.  Uncertainty quantification metrics for whole product life cycle cost estimates in aerospace innovation , 2015 .

[234]  Sandro Wartzack,et al.  From solid modelling to skin model shapes: Shifting paradigms in computer-aided tolerancing , 2014 .

[235]  Antonio Armillotta,et al.  A method for computer-aided specification of geometric tolerances , 2013, Comput. Aided Des..