On the role of form defects in assemblies subject to local deformations and mechanical loads

Tolerancing activity is usually based on the traditional assumptions that surfaces have no form defects and are rigid under external loads. These assumptions tend to simplify the tolerance analysis of mechanical assemblies and hence the allocation of geometrical specifications. The present paper proposes an original procedure to systematically analyze and quantify the assembly of parts with form and position defects and deformable contact surfaces. Based on this procedure, stochastic simulations are performed by modifying the ratio between the position defects and form defects of surfaces. Even if the form defects are limited, they can lead to a non-compliant assembly. Clearly, the engineer's traditional approach, where form defects are assumed to have no influence, is generally not appropriate if we are to ensure that the expected performance is to be achieved on assembly.

[1]  Pierre-Antoine Adragna,et al.  Modeling of 2D and 3D Assemblies Taking Into Account Form Errors of Plane Surfaces , 2009, J. Comput. Inf. Sci. Eng..

[2]  Jean-Pierre Nadeau,et al.  Integration of thermomechanical strains into tolerancing analysis , 2009 .

[3]  M. Giordano,et al.  Mathematical representation of Tolerance Zones , 1999 .

[4]  Hugues Favrelière Tolérancement Modal : De la Métrologie vers les Spécifications , 2009 .

[5]  D. Tabor Hardness of Metals , 1937, Nature.

[6]  Bharat Bhushan,et al.  Contact analysis of three-dimensional rough surfaces under frictionless and frictional contact , 1996 .

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

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

[9]  Farzin Mokhtarian,et al.  A Theory of Multiscale, Curvature-Based Shape Representation for Planar Curves , 1992, IEEE Trans. Pattern Anal. Mach. Intell..

[10]  J. U. Turner A Feasibility Space Approach for Automated Tolerancing , 1993 .

[11]  R. Arrieux,et al.  Clearance Space in Volumic Dimensioning , 1992 .

[12]  Izhak Etsion,et al.  Unloading an elastic-plastic contact of rough surfaces , 2006 .

[13]  Pierre Bourdet,et al.  Geometrical Behavior Laws for Computer-aided Tolerancing , 1996 .

[14]  Pierre Bourdet,et al.  A Study of Optimal-Criteria Identification Based on the Small-Displacement Screw Model , 1988 .

[15]  Jaime A. Camelio,et al.  Modeling and Control of Compliant Assembly Systems , 2006 .

[16]  Leonidas J. Guibas,et al.  Shape Decomposition using Modal Analysis , 2009, Comput. Graph. Forum.

[17]  Pierre Bourdet,et al.  Geometrical Study of Assembly Behaviour, Taking into Accounts Rigid Components’ Deviations, Actual Geometric Variations and Deformations , 2007 .

[18]  Paul Clozel 3D Tolerances Analysis, from Preliminary Study , 2003 .

[19]  B. Bhushan Contact mechanics of rough surfaces in tribology: multiple asperity contact , 1998 .

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

[21]  Mark O. Robbins,et al.  Finite element modeling of elasto-plastic contact between rough surfaces , 2005 .

[22]  Rikard Söderberg,et al.  Computer-aided robustness analysis for compliant assemblies , 2006 .

[23]  François Villeneuve,et al.  Geometric Tolerancing of Products , 2010 .

[24]  Serge Samper,et al.  Form Defects Tolerancing by Natural Modes Analysis , 2007, J. Comput. Inf. Sci. Eng..

[25]  Serge Samper,et al.  On the dependence of static flat seal efficiency to surface defects , 2011 .

[26]  J. Molinari,et al.  Finite-element analysis of contact between elastic self-affine surfaces. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[27]  J. Greenwood,et al.  Contact of nominally flat surfaces , 1966, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[28]  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 .

[29]  David C. Gossard,et al.  Modeling the assembly of compliant, non-ideal parts , 1997, Comput. Aided Des..

[30]  K. D. Summerhays,et al.  Methods for evaluation of systematic geometric deviations in machined parts and their relationships to process variables , 1999 .