A precision analysis method for the kinematic assembly of complex products based on equivalence of deviation source

The assembly quality of complex products is pivotal to their lifecycle performance. Assembly precision analysis (APA) is an effective method used to check the feasibility and quality of assembly. However, there is still a need for a systematic approach to be developed for APA of kinematic mechanisms. To achieve more accurate analysis of kinematic assembly, this paper aims to propose a precision analysis method based on equivalence of the deviation source.,A unified deviation vector representation model is adopted by considering dimension deviation, geometric deviation, joint clearance and assembly deformation. Then, vector loops and vector equations are constructed, according to joint type and deviation propagation path. A combined method, using deviation accumulation and sensitivity modeling, is applied to solve the kinematic APA of complex products.,When using the presented method, geometric form deviation, joint clearance and assembly deformation are considered selectively during tolerance modeling. In particular, the proposed virtual link model and its orientation angle are developed to determine joint deviation. Finally, vector loops and vector equations are modeled to express deviation accumulation.,The proposed method provides a new means for the APA of complex products, considering joint clearance and assembly deformation while improving the accuracy of APA, as much as possible.

[1]  Giovanni Moroni,et al.  A variational model for 3D tolerance analysis with manufacturing signature and operating conditions , 2018 .

[2]  Leo Joskowicz,et al.  Parametric kinematic tolerance analysis of general planar systems , 1998, Comput. Aided Des..

[3]  Wilma Polini To model joints with clearance for tolerance analysis , 2014 .

[4]  Wilma Polini,et al.  Geometric tolerance analysis through Jacobian model for rigid assemblies with translational deviations , 2016 .

[5]  Chen Chen,et al.  An automatic generation method of the coordinate system for automatic assembly tolerance analysis , 2018 .

[6]  Daniel E. Whitney,et al.  Representation of geometric variations using matrix transforms for statistical tolerance analysis in assemblies , 1994 .

[7]  Ming-June Tsai,et al.  Accuracy analysis of a multi-loop linkage with joint clearances , 2008 .

[8]  Singiresu S Rao,et al.  Interval Approach for the Modeling of Tolerances and Clearances in Mechanism Analysis , 2004 .

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

[10]  V. Parenti-Castelli,et al.  A New Technique for Clearance Influence Analysis in Spatial Mechanisms , 2005 .

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

[12]  Jean-Yves Dantan,et al.  Worst-case and statistical tolerance analysis based on quantified constraint satisfaction problems and Monte Carlo simulation , 2009, Comput. Aided Des..

[13]  Pasquale Franciosa,et al.  Variational modeling and assembly constraints in tolerance analysis of rigid part assemblies: planar and cylindrical features , 2010 .

[14]  John R. D'Errico,et al.  Statistical tolerancing using a modification of Taguchi's method , 1988 .

[15]  Stephan Husung,et al.  Use of Vectorial Tolerances for Direct Representation and Analysis in CAD-systems☆ , 2015 .

[16]  Arend L. Schwab,et al.  A comparison of revolute joint clearance models in the dynamic analysis of rigid and elastic mechanical systems , 2002 .

[17]  A. Clément,et al.  A dimensioning and tolerancing assistance model for CAD/CAM systems , 1994 .

[18]  Denis Teissandier,et al.  A computer aided tolerancing model: proportioned assembly clearance volume , 1999, Comput. Aided Des..

[19]  Geo-Ry Tang,et al.  Tolerance design for products with correlated characteristics , 2000 .

[20]  Pasquale Franciosa,et al.  Statistical variation analysis of multi-station compliant assemblies based on sensitivity matrix , 2008, Int. J. Comput. Appl. Technol..

[21]  S. J. Lee,et al.  The Determination of the Probabilistic Properties of Velocities and Accelerations in Kinematic Chains With Uncertainty , 1991 .

[22]  Masoud Pour,et al.  Tolerance analysis of flexible kinematic mechanism using DLM method , 2009 .

[23]  Sanjay G. Dhande,et al.  Analysis and synthesis of mechanical error in path-generating linkages using a stochastic approach , 1987 .

[24]  Pasquale Franciosa,et al.  Simulation of variational compliant assemblies with shape errors based on morphing mesh approach , 2011 .

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

[26]  Vijay Srinivasan,et al.  Geometric Tolerancing: II. Conditional Tolerances , 1989, IBM J. Res. Dev..

[27]  Farzaneh Ahmadzadeh,et al.  Change point detection with multivariate control charts by artificial neural network , 2018 .

[28]  Lazhar Homri,et al.  Statistical Tolerance Analysis of Over-Constrained Mechanical Assemblies With Form Defects Considering Contact Types , 2019, J. Comput. Inf. Sci. Eng..

[29]  J. W. Wittwer,et al.  The direct linearization method applied to position error in kinematic linkages , 2004 .

[30]  Byung Man Kwak,et al.  Optimal Stochastic Design of Four-Bar Mechanisms for Tolerance and Clearance , 1988 .

[31]  Wilma Polini,et al.  Manufacturing signature in jacobian and torsor models for tolerance analysis of rigid parts , 2017 .

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

[33]  D. Ravindran,et al.  Concurrent tolerance allocation and scheduling for complex assemblies , 2015 .

[34]  S. Erkaya,et al.  Determining link parameters using genetic algorithm in mechanisms with joint clearance , 2009 .

[35]  Mihai Dupac,et al.  Dynamic analysis of a flexible linkage mechanism with cracks and clearance , 2010 .

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

[37]  Nicolas Gayton,et al.  Statistical tolerance analysis of a mechanism with gaps based on system reliability methods , 2013 .

[38]  Ming-June Tsai,et al.  Kinematic sensitivity analysis of linkage with joint clearance based on transmission quality , 2004 .

[39]  Jianmin Zhu,et al.  The effects of joint clearance on position and orientation deviation of linkages and manipulators , 2000 .

[40]  J. K. Bajpai,et al.  Tolerance Stack up Analysis of a Mechanical Assembly , 2017 .

[41]  Byeng D. Youn,et al.  Variation Propagation Analysis on Compliant Assemblies Considering Contact Interaction , 2007 .

[42]  Qiangqiang Zhao Uncertainty Analysis of Assembly Error of Planar Single-loop Mechanisms Based on the Rotatability Laws of Linkages , 2018 .

[43]  Xinmin Lai,et al.  A modified method of the unified Jacobian-Torsor model for tolerance analysis and allocation , 2015 .

[44]  William Rasdorf,et al.  Maintenance of integrity during concurrent access in a building design database , 1982 .

[45]  Sandro Wartzack,et al.  Tolerance analysis of systems in motion taking into account interactions between deviations , 2013 .

[46]  Nicolas Gayton,et al.  A statistical tolerance analysis approach for over-constrained mechanism based on optimization and Monte Carlo simulation , 2012, Comput. Aided Des..

[47]  Min Zhao,et al.  Wide Range Coordinate Measurement Method under Small Field of View , 2018 .

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

[49]  Vincenzo Parenti-Castelli,et al.  Clearance influence analysis on mechanisms , 2005 .