Modal testing : Theory, practice and application, 2000. ,
Identification modale de structures linéaires et faiblement non-linéaires Theoretical and experimental modal analysis, 1997. ,
Ant colony optimization techniques for the vehicle routing problem Robust optimization -A comprehensive survey Broyden. The Convergence of a Class of Double-rank Minimization Algorithms 1. General Considerations, Advanced Engineering Informatics Computer Methods in Applied Mechanics and Engineering IMA Journal of Applied Mathematics, vol.18, issue.6 1, pp.41-48, 1970. ,
Introduction à l'analyse numérique matricielle et à l'optimisation. Dunod Coello Coello. Constraint-handling using an evolutionary multiobjective optimization technique [Coello 00b] Carlos A. Coello Coello. Treating constraints as objectives for single-objective evolutionary optimization Engineering Optimization [Coello 00c] Carlos A. Coello Coello. An updated survey of GA-based multiobjective optimization techniques [Coello 02] Carlos A. Coello Coello. Theoretical and numerical constrainthandling techniques used with evolutionary algorithms : a survey of the state of the art Multi-speed gearbox design using multi-objective evolutionary algorithms. Rapport technique A fast and elitist multiobjective genetic algorithm : NSGA-II Performance comparison of memetic algorithms, Trust Region Strategy for Nonlinear Equality Constrained OptimizationDeb 06] Kalyanmoy Deb & Himanshu Gupta. Introducing Robustness in Multi-Objective Optimization. Evolutionary Computation, pp.319-346, 1985. ,
Ant colonies for the travelling salesman problem, Biosystems, vol.43, issue.2, pp.73-81, 1997. ,
DOI : 10.1016/S0303-2647(97)01708-5
Ant colony optimization theory: A survey, Theoretical Computer Science, vol.344, issue.2-3, pp.243-278, 2005. ,
DOI : 10.1016/j.tcs.2005.05.020
Multicriteria design optimisation : procedures and applications, 1990. ,
A new approach to variable metric algorithms, The Computer Journal, vol.13, issue.3, pp.317-322, 1970. ,
DOI : 10.1093/comjnl/13.3.317
Tabu Search???Part I, ORSA Journal on Computing, vol.1, issue.3, pp.190-206, 1989. ,
DOI : 10.1287/ijoc.1.3.190
Hybrid Methods for Multi- Objective Evolutionary Algorithms. Rapport technique, 2001. ,
A family of variable-metric methods derived by variational means, Mathematics of Computation, vol.24, issue.109, pp.23-26, 1970. ,
DOI : 10.1090/S0025-5718-1970-0258249-6
Cooling Schedules for Optimal Annealing, Mathematics of Operations Research, vol.13, issue.2, pp.311-329, 1988. ,
DOI : 10.1287/moor.13.2.311
A hybrid optimization technique coupling an evolutionary and a local search algorithm, Journal of Computational and Applied Mathematics, vol.215, issue.2, pp.448-456, 2008. ,
DOI : 10.1016/j.cam.2006.03.048
Particle swarm optimization, Proceedings of ICNN'95, International Conference on Neural Networks, 1995. ,
DOI : 10.1109/ICNN.1995.488968
Optimization by Simulated Annealing, Science, vol.220, issue.4598, pp.671-680, 1983. ,
DOI : 10.1126/science.220.4598.671
An Automatic Method of Solving Discrete Programming Problems, Econometrica, vol.28, issue.3, pp.497-520, 1960. ,
DOI : 10.2307/1910129
An efficient, adaptive parameter variation scheme for metaheuristics based on the epsilon-constraint method, European Journal of Operational Research, vol.169, issue.3, pp.932-942, 2006. ,
DOI : 10.1016/j.ejor.2004.08.029
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
The Monte Carlo Method, Journal of the American Statistical Association, vol.44, issue.247, pp.335-341, 1949. ,
Variable neighborhood search, Computers & Operations Research, vol.24, issue.11, pp.1097-1100, 1997. ,
DOI : 10.1016/S0305-0548(97)00031-2
A Simplex Method for Function Minimization, The Computer Journal, vol.7, issue.4, pp.308-313, 1909. ,
DOI : 10.1093/comjnl/7.4.308
Techniques d'optimisation -Les métaheuristiques, 2004. ,
Conditioning of quasi-Newton methods for function minimization, Mathematics of Computation, vol.24, issue.111, pp.647-656, 1970. ,
DOI : 10.1090/S0025-5718-1970-0274029-X
Solution of constrained optimization problems by multi-objective genetic algorithm, Computers & Chemical Engineering, vol.26, issue.10, pp.1481-1492, 2002. ,
DOI : 10.1016/S0098-1354(02)00125-4
The COMOGA method : Contrained optimization by multi-objective genetic algorithms, Control and Cybernetics, vol.26, issue.3, pp.391-412, 1997. ,
Taguchi and robust optimization Rapport technique 96-31, 1997. ,
A min???max method with adaptive weightings for uniformly spaced Pareto optimum points, Computers & Structures, vol.84, issue.28, pp.1760-1769, 2006. ,
DOI : 10.1016/j.compstruc.2006.04.007
Ashry. On globally convergent multi-objective optimization, Modélisation du comportement dynamique des transmissions par engrenages, pp.209-216, 1995. ,
Ant colony optimization techniques for the vehicle routing problem [Bettaieb 06] Mohamed Nizar Bettaieb. Modélisation du comportement mécanique d'engrenages. Couplages entre engrènement et éléments de structures flexibles Robust optimization -A comprehensive survey The Convergence of a Class of Double-rank Minimization Algorithms 1. General Considerations, Advanced Engineering Informatics Computer Methods in Applied Mechanics and Engineering IMA Journal of Applied Mathematics, vol.18, issue.6 1, pp.41-48, 1970. ,
Studies of Newmark method for solving nonlinear systems : (I) Basic analysis Introduction à l'analyse numérique matricielle et à l'optimisation. Dunod, 1998. [Coello 00a] Carlos A. Coello Coello. Constraint-handling using an evolutionary multiobjective optimization technique [Coello 00b] Carlos A. Coello Coello. Treating constraints as objectives for single-objective evolutionary optimization [Coello 00c] Carlos A. Coello Coello. An updated survey of GA-based multiobjective optimization techniques Coupling of Substructures for Dynamic Analyses, Trust Region Strategy for Nonlinear Equality Constrained OptimizationCoello 02] Carlos A. Coello Coello. Theoretical and numerical constrainthandling techniques used with evolutionary algorithms : a survey of the state of the art, pp.651-662, 1968. ,
Méthodes numériques en mécanique des solides, Presses Polytechniques et Universitaires Romandes, 1993. ,
Multi-speed gearbox design using multi-objective evolutionary algorithms. Rapport technique, Indian Institute of Technology, 2002. ,
A fast and elitist multiobjective genetic algorithm: NSGA-II, IEEE Transactions on Evolutionary Computation, vol.6, issue.2, pp.182-197, 2002. ,
DOI : 10.1109/4235.996017
Ant colonies for the travelling salesman problem, Biosystems, vol.43, issue.2, pp.73-81, 1997. ,
DOI : 10.1016/S0303-2647(97)01708-5
Ant colony optimization theory: A survey, Theoretical Computer Science, vol.344, issue.2-3, pp.243-278, 2005. ,
DOI : 10.1016/j.tcs.2005.05.020
A family of embedded Runge-Kutta formulae, Journal of Computational and Applied Mathematics, vol.6, issue.1, pp.19-26, 1980. ,
DOI : 10.1016/0771-050X(80)90013-3
Effect of Tooth Deflection and Corner Contact on Backside Separation (Backlash) of Gear Pairs, Volume 4: 9th International Power Transmission and Gearing Conference, Parts A and B, pp.103-110, 2003. ,
DOI : 10.1115/DETC2003/PTG-48014
Multicriteria design optimisation : procedures and applications, 1990. ,
A new approach to variable metric algorithms, The Computer Journal, vol.13, issue.3, pp.317-322, 1970. ,
DOI : 10.1093/comjnl/13.3.317
Tabu Search???Part I, ORSA Journal on Computing, vol.1, issue.3, pp.190-206, 1989. ,
DOI : 10.1287/ijoc.1.3.190
Hybrid Methods for Multi- Objective Evolutionary Algorithms. Rapport technique, 2001. ,
A family of variable-metric methods derived by variational means, Mathematics of Computation, vol.24, issue.109, pp.23-26, 1970. ,
DOI : 10.1090/S0025-5718-1970-0258249-6
Reduction of stiffness and mass matrices, AIAA Journal, vol.3, issue.2, pp.380-380, 1965. ,
DOI : 10.2514/3.2874
Cooling Schedules for Optimal Annealing, Mathematics of Operations Research, vol.13, issue.2, pp.311-329, 1988. ,
DOI : 10.1287/moor.13.2.311
Improved numerical dissipation for time integration algorithms in structural dynamics, Earthquake Engineering & Structural Dynamics, vol.7, issue.3, pp.283-292, 1977. ,
DOI : 10.1002/eqe.4290050306
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
Non-linear dynamics of a geared rotor-bearing system with multiple clearances, Journal of Sound and Vibration, vol.144, issue.3, pp.469-506, 1991. ,
DOI : 10.1016/0022-460X(91)90564-Z
Planetary Gear Train Dynamics, Journal of Mechanical Design, vol.116, issue.3, pp.713-720, 1994. ,
DOI : 10.1115/1.2919441
A hybrid optimization technique coupling an evolutionary and a local search algorithm, Journal of Computational and Applied Mathematics, vol.215, issue.2, pp.448-456, 2008. ,
DOI : 10.1016/j.cam.2006.03.048
Particle swarm optimization, Proceedings of ICNN'95, International Conference on Neural Networks, 1995. ,
DOI : 10.1109/ICNN.1995.488968
Elastic and Viscoelastic Foundation Models, Journal of Applied Mechanics, vol.31, issue.3, pp.491-498, 1964. ,
DOI : 10.1115/1.3629667
Optimization by Simulated Annealing, Science, vol.220, issue.4598, pp.671-680, 1983. ,
DOI : 10.1126/science.220.4598.671
The Derivation of Gear Transmission Error from Pitch Error Records, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, vol.199, issue.3, pp.195-201, 1985. ,
DOI : 10.1243/PIME_PROC_1985_199_114_02
An Automatic Method of Solving Discrete Programming Problems, Econometrica, vol.28, issue.3, pp.497-520, 1960. ,
DOI : 10.2307/1910129
An efficient, adaptive parameter variation scheme for metaheuristics based on the epsilon-constraint method, European Journal of Operational Research, vol.169, issue.3, pp.932-942, 2006. ,
DOI : 10.1016/j.ejor.2004.08.029
Analytical Characterization of the Unique Properties of Planetary Gear Free Vibration, Journal of Vibration and Acoustics, vol.121, issue.3, pp.316-321, 1999. ,
DOI : 10.1115/1.2893982
PLANETARY GEAR PARAMETRIC INSTABILITY CAUSED BY MESH STIFFNESS VARIATION, Journal of Sound and Vibration, vol.249, issue.1, pp.129-145, 2002. ,
DOI : 10.1006/jsvi.2001.3848
Theoretical and experimental modal analysis, 1997. ,
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
Prediction Method of Gear Noise Considering the Influence of the Tooth Flank Finishing Method, Journal of Vibration Acoustics Stress and Reliability in Design, vol.108, issue.1, pp.95-100, 1986. ,
The Monte Carlo Method, Journal of the American Statistical Association, vol.44, issue.247, pp.335-341, 1949. ,
Variable neighborhood search, Computers & Operations Research, vol.24, issue.11, pp.1097-1100, 1997. ,
DOI : 10.1016/S0305-0548(97)00031-2
A Simplex Method for Function Minimization, The Computer Journal, vol.7, issue.4, pp.308-313, 1965. ,
DOI : 10.1093/comjnl/7.4.308
A method of computation for structural dynamics Mathematical models used in gear dynamics?A review, J Engng Mech Div, Proc ASCE Journal of Sound and Vibration, vol.121, issue.3, pp.383-411, 1959. ,
Dynamic Response of a Planetary Gear System Using a Finite Element/Contact Mechanics Model, Journal of Mechanical Design, vol.122, issue.3, pp.304-310, 2000. ,
DOI : 10.1115/1.1286189
Analyse modale expérimentale, 2001. ,
Approche globale pour l'analyse de la réponse vibratoire d'une transmission par engrenages. Revues européenne des éléments finis, pp.1-2, 2000. ,
Techniques d'optimisation -Les métaheuristiques, 2004. ,
Damping characteristics of unreinforced, glass and carbon fiber reinforced nylon 6/6 spur gears, Polymer Testing, vol.25, issue.1, pp.56-62, 2006. ,
DOI : 10.1016/j.polymertesting.2005.09.005
Conditioning of quasi-Newton methods for function minimization, Mathematics of Computation, vol.24, issue.111, pp.647-656, 1970. ,
DOI : 10.1090/S0025-5718-1970-0274029-X
Helical Gear Vibration Excitation with Misalignment, Proceedings of the Institution of Mechanical Engineers, pp.71-79, 1994. ,
DOI : 10.1243/PIME_PROC_1994_208_103_02
Solution of constrained optimization problems by multi-objective genetic algorithm, Sun 03] Tao Sun & HaiYan Hu. Nonlinear dynamics of a planetary gear system with multiple clearances. Mechanism and Machine Theory, pp.1481-1492, 2002. ,
DOI : 10.1016/S0098-1354(02)00125-4
The COMOGA method : Contrained optimization by multi-objective genetic algorithms, Control and Cybernetics, vol.26, issue.3, pp.391-412, 1997. ,
Optimum Profile Modifications for the Minimization of Static Transmission Errors of Spur Gears, Journal of Mechanisms Transmissions and Automation in Design, vol.108, issue.1, pp.86-94, 1986. ,
DOI : 10.1115/1.3260791
Origins of gear noise, Proc. 2nd world congress on gearing, pp.1809-1817, 1977. ,
Taguchi and robust optimization Rapport technique 96-31, 1997. ,
Noise and Transmission Efficiency under Deformation of Tooth Form of Nylon Gear, Bulletin of JSME, vol.25, issue.207, pp.1465-1473, 1982. ,
DOI : 10.1299/jsme1958.25.1465
A Study on Development of Low Noise Gears : Silencing Effect and Operation Characteristics of Nylon Gears Filled with Plasticizers, pp.114-120, 1991. ,
Vibration of Power Transmission Helical Gears : The effect of contact ratio on the vibration, Bulletin of JSME, vol.28, issue.238, pp.694-700, 1985. ,
DOI : 10.1299/jsme1958.28.694
Influence of misalignment on vibration of helical gear, 2 nd World Congress on Gearing, pp.615-626, 1986. ,
MULTI-BODY DYNAMICS AND MODAL ANALYSIS OF COMPLIANT GEAR BODIES, Journal of Sound and Vibration, vol.210, issue.2, pp.171-214, 1998. ,
DOI : 10.1006/jsvi.1997.1298
Fundamental knowledge of gear noise -a survey, Conference on Noise and Vibrations of Engines and Transmissions, pp.9-29, 1979. ,
An alpha modification of Newmark's method, International Journal for Numerical Methods in Engineering, vol.15, issue.10, pp.1562-1566, 1980. ,
A min???max method with adaptive weightings for uniformly spaced Pareto optimum points, Computers & Structures, vol.84, issue.28, pp.1760-1769, 2006. ,
DOI : 10.1016/j.compstruc.2006.04.007