. Bibliographie, Conception de produits mécaniques, HERMES, pp.2-86601, 1998.

L. Roucoules, B. Yannou, and B. Eynard, Ingénierie de la conception et cycle de vie des produits, 2006.

J. M. Sartor, Assistance à la synthèse des mécanismes générateurs de fonction, 2001.

T. A. Dean, The net-shape forming of gears, Materials & Design, vol.21, issue.4, pp.271-278, 2000.
DOI : 10.1016/S0261-3069(99)00074-6

E. Doege and R. Bohnask, Experimental studies on a precision forging process of gears. Production Engineering, VII/I, pp.17-20, 2000.

G. Henriot, Traité théorique et pratique des engrenages, 1983.

M. Bouaziz, Contribution au contrôle des engrenages sur machine à mesurer tridimensionnelle, 1996.

F. L. Litvin and A. Fuentes, Gear Geometry and Applied Theory, 2004.
DOI : 10.1017/CBO9780511547126

L. Berviller, R. Bigot, and J. Bruyère, Conception intégrée de produits «net shape», IDMME, 2002.

R. Bigot, L. Berviller, J. Bruyère, C. Baudouin, and J. Dantan, La conception de produits forgés net shape, Congrès Français de Mécanique, 2005.

J. Linares, Contribution à l'amélioration de la tenue en service des systèmes mécaniques par une meilleure caractérisation de la géométrie fonctionnelle, 2004.

. Lefèbvre, Note sur les engrenages Ministère de la guerre, pp.333-349

T. Olivier, Application de la géométrie descriptive aux ombres, à la perspective, à la gnomonique et aux engrenages, 1847.

J. Raffy and M. Godet, La validité de l'approximation de tredgold pour les engrenages coniques droits. Société d'Etude de l'industrie de l'engrenage, 1967.

R. and L. Borzec, Correction de dentures en engrenages coniques à denture droite, 1987.

L. Cloutier and G. Tordion, Méthode générale d'analyse du contact des engrenages du type Wildhaber-Novikov aux axes quelconques. Bulletin de la Société d'Etude de l'industrie de l'engrenage, p.51, 1967.

G. Henriot, Engrenages : conception, fabrication, mise en oeuvre. éd. DUNOD, 1999.

J. Capelle, Etude de la génération des engrenages par la méthode des roulettes. Publications scientifiques et techniques du ministère de l'air, 1938.

C. R. Kandaswamy, Plane-sided basic rack for the generation of skew bevel gears with spherical involute profiles, 1986.

J. Raffy and M. Godet, Le calcul des engrenages coniques droits à développante de cercle sphérique. Société d'Etude de l'industrie de l'engrenage, 1967.

A. Ko?, Theoretically acurrature equations of bevel gears tooth flanks, 1999.

Q. Balandier, Conception géométrique et dimensionnement mécanique de pignons de différentiels automobiles forgés. Master's thesis, Ecole Nationale Supérieure d'Arts et Métiers, 2004.

J. Garavelli, Etude de l'influence de la forme du pied de dent sur la résistance en flexion des engrenages coniques. Master's thesis, Ecole Nationale Supérieure d'Arts et Métiers de Metz, 2003.

S. Widiez, Conception de pignons coniques forgés pour différentiels automobiles Master's thesis, Ecole Nationale Supérieure d'Arts et Métiers, 2001.

J. Bauchat, Etude du raccordement géométrique G 2 de surfaces rationnelles mises sous forme (SBR), 1992.

J. Leon, Modélisation et construction de surfaces pour la CFAO, HERMES, pp.2-86601, 1991.

J. Fiorot and P. Jeannin, Courbes et surfaces rationnelles, 1989.

T. Popiel and L. Noakes, spherical B??zier splines, Computer Aided Geometric Design, vol.23, issue.3, pp.261-275, 2006.
DOI : 10.1016/j.cagd.2005.11.003

J. Dufailly, Etude Géométrique des engrenages cylindriques de transmission de puissance, Ellipses, vol.1, pp.2-7298, 1997.

L. Berviller, Conception et fabrication intégrées de produits forgés «net shape» : application aux différentiels forgés, Ecole Nationale Supérieure d'Arts et Métiers, 2005.

E. Rigaud, Interactions dynamiques entre denture, lignes d'arbres, roulements et carter dans les transmissions par engrenages, 1998.

G. Goch, Gear Metrology, Key note paper ; Annals of the CIRP, 2003.
DOI : 10.1016/S0007-8506(07)60209-1

R. Lefevre, Graissage et tribotechnique ; Engrenages et transmissions, 1975.

P. Sainsot, Analyse du contact entre denture d'engrenages cylindriques de réducteur, 1989.

P. Sainsot, P. Velex, and O. Duverger, Contribution of Gear Body to Tooth Deflections???A New Bidimensional Analytical Formula, Journal of Mechanical Design, vol.126, issue.4, pp.748-452, 2004.
DOI : 10.1115/1.1758252
URL : https://hal.archives-ouvertes.fr/hal-00450552

H. Linke, A new methodology for the calculation of the geometry, the contact pattern and the gear load capacity of bevel gears, Publications scientifiques du quatrième congrès Mondial des Engrenages et des Transmissions de puissance, pp.16-18, 1999.

M. Radouani, Contribution à la validation de modèle des chaînes de cotes, 2003.

J. Dantan, Synthèse des spécifications géométriques : modélisation par Calibre à Mobilité Interne, 2000.

Z. Wu, W. Mearaghy, and H. Mearaghy, Evaluation of cost-tolerance algorithms for design tolerance analysis and synthesis, Manuf. Rev, vol.1, pp.168-179, 1988.

R. Sodhi, Assembly modeling for analysis, 1995.

J. U. Turner, A feasability space approach for automated tolerancing, Journal of Engineering for industry, vol.115, pp.341-346, 1993.

E. Ballot and P. Bourdet, A Computation Method for the Consequences of Geometric Errors in Mechanisms, CIRP Seminar on Computer Aided Tolerancing, 1997.
DOI : 10.1007/978-1-4615-5797-5_15

M. Giordano and D. Duret, Clearance space and deviation space, application to three-dimensional chain of dimensions and positions, Proceedings of CIRP Seminar on Computer-Aided Tolerancing, 1993.

D. Teissandier, Y. Couétard, and A. Gerard, A computer aided tolerancing model: proportioned assembly clearance volume, Computer-Aided Design, vol.31, issue.13, pp.31805-817, 1999.
DOI : 10.1016/S0010-4485(99)00055-X
URL : https://hal.archives-ouvertes.fr/hal-01202586

A. Wirtz, Vectorial tolerancing for production quality control and functional analysis in design, Annals of the CIRP, 1991.

A. Serre, Cohérence de la spécification d'un objet de l'espace euclidien à n dimensions, 2000.

A. Clement, Le calcul tensoriel : un outil d'avenir en technologie, Technologie et Formations, vol.109, 2005.

J. W. Wittwer, K. W. Chase, and L. L. Howell, The direct linearization method applied to position error in kinematic linkages. Mechanism and Machine Theory, pp.681-693, 2004.

D. Perrin, Cours d'algèbre. ELLIPSES, 1988.

S. Gupta and J. U. Turner, Variational solid modeling for tolerance analysis, IEEE Computer Graphics and Applications, vol.13, issue.3, pp.64-74, 1993.
DOI : 10.1109/38.210493

Y. Iwase and K. Miyasaka, Proposal of modified tooth surface with minimized transmission error of helical gears, JSAE Review, vol.17, issue.2, pp.191-193, 1996.
DOI : 10.1016/0389-4304(96)00006-9

S. Chang, X. Y. Wen, Y. Q. Shi, Y. S. Li, and C. W. Chen, Three dimensional correction of tooth fank of helical gears for minimum dynamic load ans stress, Publications scientifiques du quatrième congrès Mondial des Engrenages et des Transmissions de puissance, pp.2029-2038, 1999.

L. Cloutier and G. Tordion, Méthode générale d'analyse du contact des engrenages du type wildhaber-novikov aux axes quelconques ; deuxième partie, 1967.

L. Cloutier and G. Tordion, Méthode générale d'analyse du contact des engrenages du type wildhaber-novikov aux axes quelconques ; troisième partie, 1967.

F. L. Litvin, Modern theory of gearing and applications, Publications scientifiques du deuxième congrès Mondial des Engrenages, pp.3-5, 1986.

F. L. Litvin, New developments on theory of gearing, Publications scientifiques du troisième congrès Mondial des Engrenages et des Transmissions, pp.25-32, 1992.

F. L. Litvin, Q. Lian, and A. L. Kapelevich, Asymmetric modified spur gear drives: reduction of noise, localization of contact, simulation of meshing and stress analysis, Computer Methods in Applied Mechanics and Engineering, vol.188, issue.1-3, pp.363-390, 2000.
DOI : 10.1016/S0045-7825(99)00161-9

J. P. De-vaujany, Axis misalignments and crowning for helical cylindrical gears, Publications scientifiques du quatrième congrès Mondial des Engrenages et des Transmissions de puissance, pp.199-212, 1999.

A. Fuentes, F. L. Litvin, R. B. Mullins, R. Woods, D. G. Handschuh et al., Design ans stress analysis and expermental tests of low-noise adjusted bearing contact spiral bevel gears, VDI-BERICHRE NR. 1665, pp.327-340, 2002.

J. Argyris, A. Fuentes, and F. L. Litvin, Computer program in Visual Basic language for simulation of meshing and contact of gear drives and its application for design of worm gear drive, Computer Methods in Applied Mechanics and Engineering, vol.189, issue.2, pp.595-612, 2000.
DOI : 10.1016/S0045-7825(99)00313-8

F. L. Litvin, J. Lu, D. P. Townsend, and M. Howkins, Computerized simulation of meshing of conventional helical involute gears and modification of geometry. Mechanism and Mechine Theory, pp.123-147, 1999.

F. L. Litvin, J. Zhang, R. F. Handschuh, and J. J. Coy, Topology of modified helical gears, International power transmission and gearing conference, 1989.

F. L. Litvin, A. Fuentes, Q. Fan, and R. F. Handschuh, Computerized design, simulation of meshing, and contact and stress analysis of face-miller formate generated spiral bevel gears. Mechanism and Machine Theory, pp.441-459, 2002.

F. L. Litvin, A. Fuentes, C. Zanzi, and M. Pontiggia, Design, generation, and stress analysis of two version of geometry of face-gear drives. Mechanism and Machine Theory, pp.1179-1211, 2002.

F. L. Litvin, A. G. Wang, and R. F. Handschuh, Computerized generation and simulation of meshing and contact of spiral bevel gears with improved geometry, Computer Methods in Applied Mechanics and Engineering, vol.158, issue.1-2, pp.35-64, 1998.
DOI : 10.1016/S0045-7825(97)00229-6

F. L. Litvin, A. Fuentes, and K. Hayasaka, Design, manufacture, stress analysis, and experimental tests of low-noise high endurance spiral bevel gears. Mechanism and Machine Theory, pp.83-118, 2006.

F. L. Litvin, M. De-donno, A. Peng, A. Vorontsov, and R. Handschuh, Integrated computer program for simulation of meshing and contact of gear drives, Computer Methods in Applied Mechanics and Engineering, vol.181, issue.1-3, pp.71-85, 2000.
DOI : 10.1016/S0045-7825(99)00068-7

F. L. Litvin, J. J. Coy, and C. Heine, Generation of spiral bevel gears with zero kinematic errors and computer aided tooth contact analysis, Publications scientifiques du deuxième Congrès Mondial des Engrenages, pp.399-408, 1986.

F. L. Litvin and J. Lu, Computerized design and generation of double circular-arc helical gears with low transmission errors, Computer Methods in Applied Mechanics and Engineering, vol.127, issue.1-4, pp.57-86, 1995.
DOI : 10.1016/0045-7825(95)00849-8

C. Lee and C. Chen, Mathematical models, meshing analysis and transmission design for a robust cylindrical gear set generated by two blade-discswith parabolic cutting edges, Proc. IMechE, 218 Part C : J. Mechanical Engineering Science, pp.1539-1553, 2004.

J. Li and S. Chiou, Surface design and tooth contact analysis of an innovative modified spur gear with crowned teeth, Proc. IMechE, 219 Part C : J. Mechanical Engineering Science, pp.193-207, 2005.
DOI : 10.1243/095440605X8397

J. Argyris, M. D. Donno, and F. L. Litvin, Computer program in Visual Basic language for simulation of meshing and contact of gear drives and its application for design of worm gear drive, Computer Methods in Applied Mechanics and Engineering, vol.189, issue.2, pp.1057-1095, 2002.
DOI : 10.1016/S0045-7825(99)00313-8

J. Rybak, A. Kawalec, and J. Wiktor, Analysis of tooth contact in involute cylindrical gear transmissions with modified tooth trace, Publications scientifiques du quatrième congrès Mondial des Engrenages et des Transmissions de puissance, pp.169-181, 1999.

O. Vogel, A. Griewank, and G. Bär, Direct gear tooth contact analysis for hypoid bevel gears, Computer Methods in Applied Mechanics and Engineering, vol.191, issue.36, pp.3965-3982, 2002.
DOI : 10.1016/S0045-7825(02)00351-1

J. Vaujany, Comportement d'engrenage cynlindrique intérieur, 2001.

A. Spitas, T. N. Costopoulos, and V. A. Spitas, Calculation of transmission errors, actual path of contact and actual contact ratio of non-conjugate gears, VDI-BERICHRE NR. 1665, pp.981-994, 2002.

V. Kin, Tooth contact based on inspection, Publications scientifiques du troisième congrès Mondial des Engrenages et des Transmissions, pp.1107-1114, 1992.

G. Henriot, Influence des ondulations de surface des dentures sur le bruit, M??canique & Industries, vol.1, issue.5, pp.477-486, 2000.
DOI : 10.1016/S1296-2139(00)01055-1

M. Dubois and J. Grzesiak, Etude du phénomène des "raies fantomes" lié à la rectification des engrenages, 1995.

Y. Ueda and D. R. Houser, Optimum design and manufacturing robustness for gear whine of helical gear, VDI-BERICHRE NR. 1665, pp.839-851, 2002.

C. Baudouin, Caractérisation des incertitudes de mesure sur les pignons forgés mesurés par mmt, 2001.

C. Baudouin, Métrologie des engrenages : application aux pignons coniques. Master's thesis, 2001.

J. M. Coevoet, Modification d'une congrès de métrologie à disque de roulement pour le contrôle du profil et de la distortion des engrenages, 1986.

M. Serres, La simulation, technique nouvelle, ancienne tradition, La recherche, vol.393, 2006.

X. C. Wang and S. K. Ghosh, Advanced Theroies of Hypoid Gears, 1994.

C. Jacquin, Modélisation et optimisation du comportement sous charge des engrenages face, 1996.

J. E. Dennis, Nonlinear Least-Squares" : State of the Art in Numerical Analysis, pp.269-312

J. J. Moré, The levenberg-marquardt algorithm : Implementation and theory. Numerical Analysis, pp.105-116, 1977.

K. Levenberg, A method for the solution of certain non-linear problems in least squares, Quarterly of Applied Mathematics, vol.2, issue.2, pp.164-168, 1944.
DOI : 10.1090/qam/10666

D. Marquardt, An Algorithm for Least-Squares Estimation of Nonlinear Parameters, Journal of the Society for Industrial and Applied Mathematics, vol.11, issue.2, pp.431-441, 1963.
DOI : 10.1137/0111030

A. Agma, Bevel Gear Classification, Tolerances, and Measuring Methods, 1998.

M. Delfosse, Contrôle de l'erreur cinématique des engrenages Bulletin de la Société d'Etude de l'industrie de l'engrenage, pp.35-47

S. Kurokawa and Y. Ariura, Transmission error analysis of involute cylindrical gears with raadial eccentricity -measurement of eccentricity and the influence of cumulative pith deviation, VDI-BERICHRE NR. 1665, pp.1003-1017, 2002.

J. Argyris, F. L. Litvin, A. Peng, and H. J. Stadtfeld, Axes of meshing and their application in theory of gearing, Computer Methods in Applied Mechanics and Engineering, vol.163, issue.1-4, pp.293-310, 1998.
DOI : 10.1016/S0045-7825(98)00020-6

J. Vincent, Etude des engrenages de type Wildhaber-Novikov à axes concourants. Master's thesis, Ecole Nationale Supérieure d'Arts et Métiers, 2004.

J. Vincent, Outils d'estimation de la déformée des dents et de la contrainte maximale en pied de dent d'un engrenage à géométrie variationnelle. Master's thesis, Ecole Nationale Supérieure d'Arts et Métiers, 2005.

J. P. Vincent, J. Bruyère, and J. Y. Dantan, Synthèse de la géométrie et analyse des tolérances des engrenages de Wildhaber-Novikov à axes concourants, AIP- PRIMECA, 2005.

L. Roucoules, B. Eynard, P. Nowak, and A. Skander, Ingénierie de la conception et cycle de vie des produits, chapter 1, 2006.

A. Ballu and L. Mathieu, Choice of functional specifications using graphs within the framework of education, Proceedings of the 6 th CIRP International Seminar on Computer Aided Tolerancing, pp.197-206, 1999.
DOI : 10.1007/978-94-017-1705-2_20

J. Dantan, Ingénierie de la conception et cycle de vie des produits, chapter 11, 2006.

J. Dantan, A. Nabil, and L. Mathieu, Integrated Tolerancing Process for conceptual design, The annals of CIRP, pp.135-138, 2003.
DOI : 10.1016/S0007-8506(07)60549-6

U. Roy, N. Pramanik, R. Sudarsan, R. D. Sriram, and K. W. Lyons, Function-to-form mapping: model, representation and applications in design synthesis, Computer-Aided Design, vol.33, issue.10, pp.699-719, 2001.
DOI : 10.1016/S0010-4485(00)00100-7

S. Feng, W. Nederbragt, S. Kaing, and R. Sriram, Incorporating Process Pplanning into Conceptual Design, Proceedings of the 1999 ASME Design Engineering Technical Conferences, 1999.

W. Nederbragt, R. Allen, S. Feng, S. Kaing, R. Sriram et al., The NIST Design/Process Planning Integration Project, Proceedings of the AI and Manufacturing Research Planning Workshop, pp.135-139, 1998.

O. W. Salomons, S. J. Poerink, F. J. Haalboom, F. Van-slooten, F. J. Van-houten et al., A computer aided tolerancing tool I: Tolerance specification, Computers in Industry, vol.31, issue.2, pp.161-174, 1996.
DOI : 10.1016/0166-3615(96)00046-2

O. W. Salomons, S. J. Poerink, F. J. Haalboom, F. Van-slooten, F. J. Van-houten et al., A computer aided tolerancing tool II: Tolerance analysis, Computers in Industry, vol.31, issue.2, pp.175-186, 1996.
DOI : 10.1016/0166-3615(96)00047-4

F. Thiebaut, Contribution à la définition d'un moyen unifié de gestion de la géométrie réaliste basé sur le calcul des lois de comportement des mécanismes, 2001.

D. Gaunet, Modèle formel de tolérancement de position. Contributions à l'aide au tolérancement des mécanisme en CFAO, 1994.

D. M. Robinson, Geometric tolerancing for assembly, 1998.
DOI : 10.1007/978-1-4615-5797-5_19

W. T. Estler, Mesurement as inference : Functional ideas, Annals of the CIRP, pp.611-632, 1999.
DOI : 10.1016/s0007-8506(07)63238-7

A. Clement, A. Riviere, P. Serre, and C. Valade, Global Consistency of Dimensioning and Tolerancing, Proc. of CIRP Seminar on Computer Aided Tolerancing, 1999.
DOI : 10.1007/978-94-017-1705-2_1

R. C. Hillyard and I. C. Braid, Characterizing non-ideal shapes in terms of dimensions and tolerances, ACM SIGGRAPH Computer Graphics, vol.12, issue.3, pp.234-238, 1978.
DOI : 10.1145/965139.807396

P. Hoffman, Analysis of tolerances and process inaccuracies in discrete part manufacturing, Computer-Aided Design, vol.14, issue.2, pp.83-88, 1982.
DOI : 10.1016/0010-4485(82)90172-5

D. Gaunet, Vectorial tolerancing model, Proceedings of the 3 th CIRP Seminar on Computer Aided Tolerancing, 1993.

C. Baudouin, R. Bigot, S. Leleu, N. Muller, and P. Martin, Gear geometric control software: approach by entities, 36 th CIRP international seminar on manufacturing systems, pp.335-340, 2003.
DOI : 10.1007/s00170-007-1051-7
URL : https://hal.archives-ouvertes.fr/hal-00750724

G. Henzold, Comparison of vectorial tolerancing and conventional tolerancing, International Forum on Dimensional Tolerancing and Metrology, CRTD, pp.147-160, 1993.

U. Roy and B. Li, Representation and interpretation of geometric tolerances for polyhedral objects. II., Computer-Aided Design, vol.31, issue.4, pp.273-285, 1999.
DOI : 10.1016/S0010-4485(99)00028-7

A. A. Requicha, Toward a Theory of Geometric Tolerancing, The International Journal of Robotics Research, vol.29, issue.10, pp.45-60, 1983.
DOI : 10.1177/027836498300200403

F. Etesami, A Mathematical Model for Geometric Tolerances, Journal of Mechanical Design, vol.115, issue.1, pp.81-86, 1993.
DOI : 10.1115/1.2919329

A. A. Requicha, Mathematical meaning and computational representation of tolerance specifications, International Forum on Dimensional Tolerancing and Metrology, CRTD, pp.61-68, 1993.

V. Srinivassan, Recent efforts in mathematization of asme/ansi y14.5m, Proceedings of 3rd CIRP Seminar on Computer Aided Tolerancing, pp.223-232, 1993.

E. Sacks and L. Joskowicz, Computer assisted kinematic tolerance analysis of a gear selector mechanism with the configuration space method, Design Engineering Technical Conferences, 1999.

J. Dantan, J. Bruyère, R. Bigot, and P. Martin, Spécification géométrique fonctionnelle des engrenages par frontière virtuelle, Proceedings of 3 ème colloque internationale Conception et Production Intégrées, p.16, 2003.

S. Bhide, J. K. Davidson, and J. J. Shah, Areal Coordinates: The Basis of a Mathematical Model for Geometric Tolerances, Proceedings of the 7 th CIRP International Seminar on Computed-Aided Tolerancing, pp.35-44, 2001.
DOI : 10.1007/978-94-017-1691-8_4

S. Bhide, G. Ameta, J. K. Davidson, and J. J. Shah, Tolerance-Map Applied to the Strainghtness and Orientation of an Axis, CDrom Proc., 9 th CIRP International Seminar on Computed-Aided Tolerancing, pp.10-12, 2005.

J. K. Davidson, A. Mujezinovi?, and J. J. Shah, A New Mathematical Model for Geometric Tolerances as Applied to Round Faces, Journal of Mechanical Design, vol.124, issue.4, pp.609-622, 2002.
DOI : 10.1115/1.1497362

J. Y. Dantan, L. Mathieu, A. Ballu, and P. Martin, Tolerance synthesis: quantifier notion and virtual boundary, Computer-Aided Design, vol.37, issue.2, pp.231-240, 2005.
DOI : 10.1016/j.cad.2004.06.008

E. Sacks and L. Joskowicz, Parametric kinematic tolerance analysis of general planar systems, Computer-Aided Design, vol.30, issue.9, pp.707-714, 1998.
DOI : 10.1016/S0010-4485(98)00024-4

E. Sacks and L. Joskowicz, Parametric kinematic tolerance analysis of planar mechanisms, Computer-Aided Design, vol.29, issue.5, pp.333-342, 1997.
DOI : 10.1016/S0010-4485(96)00076-0

L. Joskowicz and E. Sacks, The configuration space method for kinematic tolerance analysis, 7 rd CIRP Seminar on Computer Aided Tolerancing, 2001.
DOI : 10.1007/978-94-017-1705-2_27

L. Joskowicz, E. Sacks, and V. Sribivasan, Kinematic tolerance analysis, Computer-Aided Design, vol.29, issue.2, pp.147-157, 1997.
DOI : 10.1016/S0010-4485(96)00043-7

Y. Ostrovsky-bermann and L. Joskowicz, Relative positioning of planar parts in toleranced assemblies, 9 rd CIRP Seminar on Computer Aided Tolerancing, 2005.

M. Kyung and E. Sacks, Nonlinear kinematic tolerance analysis of planar mechanical systems, Computer-Aided Design, vol.35, issue.10, pp.901-911, 2003.
DOI : 10.1016/S0010-4485(02)00177-X

M. Kyung and E. Sacks, Tolerance Synthesis of Higher Kinematic Pairs, CDrom Proceedings of 9 rd CIRP Seminar on Computer Aided Tolerancing, 2005.
DOI : 10.1007/1-4020-5438-6_29

L. Mathieu and B. Marguet, Integrated Design Method to Improve Producibility based on Product Key Characteristics and Assembly Sequences, The annals of CIRP, pp.85-88, 2001.
DOI : 10.1016/S0007-8506(07)62077-0

E. Sacks and S. M. Barnes, Computer-aided design of a ratcheting actuator, CDrom Proc., 9 th CIRP International Seminar on Computed-Aided Tolerancing, pp.10-12, 2005.

S. D. Nigam and J. U. Turner, Review of statistical approaches to tolerance analysis, Computer-Aided Design, vol.27, issue.1, pp.6-15, 1995.
DOI : 10.1016/0010-4485(95)90748-5

O. Bjorke, Computer-Aided tolerancing, 1989.

V. J. Skowronski and J. U. Turner, Using Monte-Carlo variance reduction in statistical tolerance synthesis, Computer-Aided Design, vol.29, issue.1, pp.63-69, 1997.
DOI : 10.1016/S0010-4485(96)00050-4

V. J. Skowronski and J. U. Turner, Estimating gradients for statistical tolerance synthesis, Computer-Aided Design, vol.28, issue.12, pp.933-941, 1996.
DOI : 10.1016/0010-4485(96)00032-2

P. Varghese and N. Braswell, Statistical tolerance analysis using FRPDF and numerical convolution, Computer-Aided Design, vol.28, issue.9, pp.723-732, 1996.
DOI : 10.1016/0010-4485(96)00005-X

J. Guilfrod and J. U. Turner, Advanced Tolerance Analysis and Synthesis for Geometric Tolerances, Proceedings of International Forum on Dimensional Tolerancing and Metrology, pp.187-198, 1993.

L. Laperriere and T. Kabore, Monte Carlo simulation of tolerance synthesis equations, International Journal of Production Research, vol.39, issue.11, pp.2395-2406, 2001.
DOI : 10.1080/00207540110039198

C. Zhang, J. Luo, and B. Wang, Statistical tolerance synthesis using distribution function zones, International Journal of Production Research, vol.37, issue.17, pp.3995-4006, 1999.
DOI : 10.1080/002075499189880

J. Bruyère, J. Dantan, R. Bigot, and P. Martin, Statistical Tolerance Analysis of Gears by Tooth Contact Analysis, CDrom Proceedings of 9 rd CIRP Seminar on Computer Aided Tolerancing, 2005.
DOI : 10.1007/1-4020-5438-6_26

J. Bruyère and J. Dantan, Analyse statistique des tolérances des engrenages, Proceedings of Congrès Français de Mécanique, 2005.

S. Tichadou, Modélisation et qualification tridimensionnelle des écarts de fabrication pour la simulation d'usinage, 2005.

J. Bruyère, J. Dantan, F. Wu, and R. Bigot, Optimization of Gear Tolerances by Statistical Analysis and Genetic Algorithm, 6rd IDMME Seminar, 2006.
DOI : 10.1007/978-1-4020-6761-7_27

S. Caro, F. Bennis, and P. Wenger, Tolerance Synthesis of Mechanisms: A Robust Design Approach, Journal of Mechanical Design, vol.127, issue.1, pp.86-94, 2005.
DOI : 10.1115/1.1825047
URL : https://hal.archives-ouvertes.fr/hal-00463707

J. Lampinen, Cam shape optimisation by genetic algorithm, Computer-Aided Design, vol.35, issue.8, pp.727-737, 2003.
DOI : 10.1016/S0010-4485(03)00004-6

G. Renner and A. Ekárt, Genetic algorithms in computer aided design, Computer-Aided Design, vol.35, issue.8, pp.709-726, 2003.
DOI : 10.1016/S0010-4485(03)00003-4

N. Turkkan, Discrete optimisation of structures using a floating point genetic algoritm, congrès annuel de la Société canadienne de génie civil, pp.4-7

D. E. Goldberg, Genetic Algorithms in Search, Optimisation, and Machine Learning, 1989.

L. Davis, Hanbook of Genetic Alogorithms, 1991.

E. H. Aarts and P. J. Laarhoven, Statistical cooling : A general approch to combinatorial optimization problems, Philips Journal of Reseach, 1985.

D. E. Goldberg, Genetic and evolutionary algorithms come of age, Communications of the ACM, vol.37, issue.3, 1994.
DOI : 10.1145/175247.175259

D. Adler, Genetic algorithms and simulated annealing: a marriage proposal, IEEE International Conference on Neural Networks, 1993.
DOI : 10.1109/ICNN.1993.298712

E. D. Taillard, Recherches itératives dirigées parallèles, 1993.

A. Skander, Méthode et modèle DFM pour le choix des procédés et l'intégration des contraintes de fabrication vers l'émergence de la solution produit, 2006.

K. W. Chase and W. K. Greenwood, Least Cost Tolerance Allocation for Mechanical Assemblies with Automated Process Selection, Manufacturing Review, vol.3, issue.1, pp.49-59, 1990.

T. Guo, A new evolutionary algorithm for function optimization, Communication on Applied Mathematics and Computation, vol.4, issue.4, pp.409-414, 1999.

H. Hertz, Le mémoire de hertz sur les contacts ponctuels, 1987.

. Belajeff, Le mémoire de belajeff sur les contacts ponctuels. Publication scientifique et technique N o 32 -ENSAM, 1990.

M. Sassi, M. Desvignes, and M. Foulon, Etude tridimensionnelle des contacts élastiques sans frottement par la méthode des éléments finis, Mécanique Industrielle et Matériaux, vol.49, issue.1, pp.23-27, 1996.

A. Rey and M. Foulon, Etat contraints majeur sur la normale des contacts ponctuels, Mécanique Matériaux Electricité, vol.445, pp.12-15, 1992.

M. Foulon, A. Rey, M. Blanc, and P. Lebert, Sur les états contraints dans les contacts ponctuels, Mécanique Matériaux Electricité, vol.440, pp.4-10, 1991.

C. Gosselin, L. Cloutier, and Q. D. Nguyen, A general formulation for the calculation of the load sharing and transmission error under load of spiral bevel and hypoid gears. Mechanical and Machins Theory, pp.433-450, 2000.

K. L. Johnson, Contact Mechanics, 1999.

R. Guilbault, C. Gosselin, and L. Cloutier, Express Model for Load Sharing and Stress Analysis in Helical Gears, Journal of Mechanical Design, vol.127, issue.6, pp.1161-1172, 2005.
DOI : 10.1115/1.1992509

V. Simon, Computer Aided Loaded Tooth Contact Analysis in Cylindrical Worm Gears, Journal of Mechanical Design, vol.127, issue.5, pp.973-981, 2005.
DOI : 10.1115/1.1904050

D. Barday, Meshing of bevel gear sets, Publications scientifiques du quatrième congrès Mondial des Engrenages et des Transmissions de puisance, pp.651-660, 1999.

Y. Icard, Engrenage spiro-conique : Modélisation sous charge appliquée au domaine aéronautique, 2005.

J. J. Kalker, Three-Dimensional Elastic Bodies in Rolling Contact Klumer academic publishers, 1990.

J. Brauer, Transmission error in anti-backlash conical involute gear transmission : a global-local fe approach. Finite Elements in Analysis and Design, pp.431-457, 2005.

F. L. Litvin, J. Chen, J. Lu, and R. F. Handschuh, Application of Finite Element Analysis for Determination of Load Share, Real Contact Ratio, Precision of Motion, and Stress Analysis, Journal of Mechanical Design, vol.118, issue.4, pp.561-567, 1996.
DOI : 10.1115/1.2826929

S. Ulaga, M. Ulbin, and J. Fla?ker, Contact problems of gears using Overhauser splines, International Journal of Mechanical Sciences, vol.41, issue.4-5, pp.385-395, 1999.
DOI : 10.1016/S0020-7403(98)00073-3

S. Ulaga, Contact stress analysis of gears, Publications scientifiques du quatrième congrès Mondial des Engrenages et des Transmissions de puissance, pp.349-354, 1999.

M. H. Walker, Flexion des dents et modification du profil, pp.24-41, 1938.

Y. Zhang and Z. Fang, Analysis of Transmission Errors Under Load of Helical Gears With Modified Tooth Surfaces, Journal of Mechanical Design, vol.119, issue.1, pp.120-126, 1997.
DOI : 10.1115/1.2828773

Z. Fang and H. Yang, Loaded tooth contact analysis with friction on hypoid gears, Publications scientifiques du quatrième congrès Mondial des Engrenages et des Transmissions de puisssance, pp.703-709, 1999.

J. Brauer, A general finite element model of involute gears. Finite Elements in Analysis and Design, pp.1857-1872, 2004.

L. Bröner, N. Kurz, and F. Joachim, Effectice analysis of gears with program lvr (stiffness method), VDI-Berichte n o 1665, 2002.

T. Henlich, H. Linke, D. G. Handschuh, and D. G. Lewicki, Innovative method for optimising flank modification on toothings, VDI-BERICHRE NR. 1665, pp.167-176, 2002.

Y. Hiltcher, M. Guingand, and J. Vaujany, Modélisation du comportement élastique des engrenages -méthode des éléments finis dans CATIA, CDrom du 9 ième Colloque National AIP-PRIMECA, pp.5-8, 2005.

A. Fuentes, F. Litvin, B. R. Mullins, R. Woods, and R. F. Handschuh, Design and Stress Analysis of Low-Noise Adjusted Bearing Contact Spiral Bevel Gears, Journal of Mechanical Design, vol.124, issue.3, pp.524-532, 2002.
DOI : 10.1115/1.1481364

C. Gosselin, J. Vaujany, and P. Gagnon, Loaded tooth contact analysis of spur, helical and hypoid gears based on the finite strips and finite prisms models, Publications scientifiques du quatrième congrès Mondial des Engrenages et des Transmissions de puissance, 1999.

A. Olakorede, Répartition de charges et Résistance en Conception d'engrenages Cylindiques Application de la méthode des Prismes Finis en C.A.O, 1990.

H. Kim, Etude des charges et des contraintes dans les engrenages cylindriques avec voile. Simulation numérique par la Méthode des Prismes Finis, 2001.

M. Guingand, J. P. De-vaujany, and Y. Icard, Fast Three-Dimensional Quasi-Static Analysis of Helical Gears Using the Finite Prism Method, Journal of Mechanical Design, vol.126, issue.6, pp.1082-1088, 2004.
DOI : 10.1115/1.1798212
URL : https://hal.archives-ouvertes.fr/hal-01499171

Y. K. Cheung, Finite Strip Method in Structure Analysis, 1976.

C. H. Wink and A. L. Serpa, Investigation of tooth contact deviations from the plane of action and their effects on gear transmission error, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, vol.88, issue.5, pp.501-509, 2005.
DOI : 10.1243/095440605X16983

A. H. Elkholy, A. A. Elsharkawy, and A. S. Yigit, Effect of Meshing Tooth Stiffness and Manufacturing Error on the Analysis of Straight Bevel Gears???, Mechanics of Structures and Machines, vol.23, issue.1, pp.41-61, 1998.
DOI : 10.1115/1.3258674

J. Bruyère, J. Vincent, J. Dantan, and R. Bigot, Intégration des déformées dans l'analyse des tolérances des engrenages ; intégration d'un modèle simple d'estimation des déformées, Proceedings of 4 éme colloque international CPI05, p.16, 2005.

L. D. Maclennan, An analytical method to determine the influence of shape deviation on load distribution and mesh stiffness for spur gears, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, vol.3, issue.10, pp.1005-1016, 2002.
DOI : 10.1243/095440602760400977

B. Falah, C. Gosselin, and L. Cloutier, Experimental and numerical investigation of the meshing cycle and contact ratio in spiral bevel gears. Mechanism and Machine Theory, pp.21-37, 1998.

J. De-vaujany, M. Guingand, and C. Bordegaray, Misalignement effect on the transmission error of loaded spiral bevel gears, CDrom proceedings of IDMME, 2006.

U. Dierkes, S. Hildebrandt, A. Kuster, and O. Wohlrab, Minimal Surfaces I, pp.0-387, 1992.
DOI : 10.1007/978-3-662-02791-2

M. Guingand, J. Vaujany, and Y. Icard, Analysis and optimization of the loaded meshing of face gears, Journal of Mechanical Design, vol.127, 2005.

P. Gagnon, C. Gosselin, A. Cardou, and L. Cloutier, Assessment of fea calculation of spur gear tooth deflection using electronic speckle pattern interferometry, JSME International Conference on Motion and Power Transmissions, pp.23-26, 1991.

L. E. Wilcox, An exact analitical method for calculating stresses in bevel and hypoid gear teeth, International Symposium on Gearing and Power Transmissions, 1981.

M. Celik, Application of the different boundary elements of spur gear Computer methods in applied mechanics and engineering, 1999.

M. Celik, Comparaison of three teeth and whole body models in spur gear analysis. Mechanism and machine theory, pp.1227-1235, 1998.

J. Frêne, M. Godet, D. Nicolas, and B. Degueurce, Lubrification hydrodynamique : paliers et butées, Eyrolles, pp.399-4198, 1990.

A. Ural, G. Heber, P. A. Wawrzynek, A. R. Ingraffea, D. G. Lewicki et al., Three-dimensional, parallel, finite element simulation of fatigue crack growth in a spiral bevel pinion gear, Engineering Fracture Mechanics, vol.72, issue.8, pp.721148-1170, 2005.
DOI : 10.1016/j.engfracmech.2004.08.004

F. Wang, C. Yi, T. Wang, S. Yang, G. Zhao et al., A generating method for digital gear tooth surfaces, The International Journal of Advanced Manufacturing Technology, vol.28, issue.5-6, pp.474-485, 2006.
DOI : 10.1007/s00170-004-2395-x