A correlation coefficient for modal vector analysis, International Modal Analysis Conference, 1982. ,
Self-excited oscillations of two elastic half-spaces sliding with a constant coefficient of friction, Journal of Applied Mechanics, vol.62, pp.867-872, 1995. ,
Interaction among friction, wear and system stiffness -part 1 : Effect of normal load and system stiffness ; part 2 : Vibrations induced by dry friction ; part 3 : Wear model, Journal of lubrication technique, vol.106, pp.54-69, 1984. ,
Acoustics of friction, The Journal of the Acoustical Society of America, vol.111, issue.4, pp.1525-1548, 2002. ,
DOI : 10.1121/1.1456514
Complex eigenvalue analysis and dynamic transient analysis in predicting disc brake squeal, International Journal of Vehicle Noise and Vibration, vol.2, issue.2, pp.143-155, 2006. ,
DOI : 10.1504/IJVNV.2006.011051
Stability of Friction-Induced Vibrations in Multi-Degree-of-Freedom Systems, Journal of Sound and Vibration, vol.171, issue.4, pp.557-570, 1994. ,
DOI : 10.1006/jsvi.1994.1140
Use of generalized interface degrees of freedom in component mode synthesis, IMAC, 1996. ,
Finite Element Procedures in Engineering Analysis, 1982. ,
Understanding the occurrence of squealing noise using the temporal finite element method, Journal of Sound and Vibration, vol.292, issue.3-5, pp.443-460, 2006. ,
DOI : 10.1016/j.jsv.2005.08.001
URL : https://hal.archives-ouvertes.fr/hal-00373867
Structural Vibration : Analysis and Damping, 1996. ,
Influence of disc topography on generation of brake squeal, Wear, vol.225, issue.229, pp.225-229621, 1999. ,
DOI : 10.1016/S0043-1648(99)00064-2
Vibration Analysis of Structures by Component Mode Substitution, AIAA Journal, vol.9, issue.7, pp.1255-1261, 1971. ,
DOI : 10.2514/3.49936
Properties of friction materials. 1 : experiments on variables affecting noise, ASME, vol.80, pp.402-406, 1958. ,
On the Analysis of Brake Squeal Propensity Using Finite Element Method, SAE Technical Paper Series, 2000. ,
DOI : 10.4271/2000-01-2765
Coupling of substructures for dynamic analyses, American Institute of Aeronautics and Astronautics -Journal, vol.6, issue.7, pp.1313-1319, 1968. ,
Free-interface methods of substructure coupling for dynamic analysis, AIAA Journal, vol.14, issue.11, pp.1633-1635, 1976. ,
DOI : 10.2514/3.7264
Nonlinear dynamics of brake squeal. Finite Elements in Analysis and Design, pp.69-82, 1997. ,
An Alternating Frequency/Time Domain Method for Calculating the Steady-State Response of Nonlinear Dynamic Systems, Journal of Applied Mechanics, vol.56, issue.1, pp.149-154, 1989. ,
DOI : 10.1115/1.3176036
URL : https://hal.archives-ouvertes.fr/hal-01333697
Trust-region methods, MPS/SIAM Series on Optimization. SIAM and MPS, 2000. ,
DOI : 10.1137/1.9780898719857
Stabilité des systèmes dynamiques avec frottement sec : Application au crissement des freins à disque, 1991. ,
A new treatment for predicting the self-excited vibrations of nonlinear systems with frictional interfaces : The chbm, Journal of Sound and Vibration, 2008. ,
New smoothing procedures in contact mechanics, Journal of Computational and Applied Mathematics, vol.168, issue.1-2, pp.107-116, 2004. ,
DOI : 10.1016/j.cam.2003.06.007
An algorithm for the machine calculation of complex Fourier series, Mathematics of Computation, vol.19, issue.90, pp.297-301, 1965. ,
DOI : 10.1090/S0025-5718-1965-0178586-1
Algorithms for computing almost periodic steady-state response of nonlinear systems to multiple input frequencies, IEEE Transactions on Circuits and Systems, vol.28, issue.10, pp.953-971, 1981. ,
DOI : 10.1109/TCS.1981.1084921
Self-excited vibrations induced by dry friction, part 2 : Stability and limit-cycle analysis, Journal of Sound and Vibration, vol.137, issue.2, pp.177-190, 1990. ,
Self-excited vibrations induced by dry friction, part 1: Experimental study, Journal of Sound and Vibration, vol.137, issue.2, pp.163-175, 1990. ,
DOI : 10.1016/0022-460X(90)90786-Y
An Adaptive Nonlinear Least-Squares Algorithm, ACM Transactions on Mathematical Software, vol.7, issue.3, pp.348-368, 1981. ,
DOI : 10.1145/355958.355965
Cours de mécanique du contact, 2002. ,
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
Time simulation of squeal phenomena in realistic brake models, ISMA, 2008. ,
An investigative overview of automobile disc brake noise, SAE Paper, 1999. ,
Une présentation de la Méthode des Éléments Finis 2 ème édition, 1984. ,
Instabilities arising from the frictional interaction of a pin-disc system resulting in noise generation, Journal of Engineering for Industry, pp.81-86, 1976. ,
On the nature of tribological contact in automotive brakes, Wear, vol.252, issue.1-2, pp.26-36, 2002. ,
DOI : 10.1016/S0043-1648(01)00849-3
Friction behaviour and squeal generation of disc brakes at low speeds, Proceedings of the Institution of Mechanical Engineers, pp.1245-1256, 2001. ,
DOI : 10.1243/0954407011528789
Oscillatory Instabilities Generated in a Double-Pin and Disc Undamped System: A Mechanism of Disc-cbrake Squeal, IMechE, pp.43-50, 1984. ,
DOI : 10.1243/PIME_PROC_1984_198_086_02
Interim report on disc brake squeal, Motor Industry Research Association, 1959. ,
Disc brake squeal : its mechanism and suppression, Motor Industry Research Association, 1961. ,
LINING-DEFORMATION-INDUCED MODAL COUPLING AS SQUEAL GENERATOR IN A DISTRIBUTED PARAMETER DISC BRAKE MODEL, Journal of Sound and Vibration, vol.254, issue.1, pp.1-21, 2002. ,
DOI : 10.1006/jsvi.2001.4052
Oscillations in squealing disc brakes ; analysis of vibration modes by holographic interferometry, SAE Paper, 1978. ,
Practical methods of optimization, second edition, 2000. ,
An investigation into disc brake noise using holographic interferometry, IMechE, 1991. ,
The Application of Holographic Interferometry to the Study of Disc Brake Noise, SAE Technical Paper Series, 1993. ,
DOI : 10.4271/930805
Function minimization by conjugate gradients, The Computer Journal, vol.7, issue.2, pp.149-154, 1964. ,
DOI : 10.1093/comjnl/7.2.149
Effects of damping on brake squeal coalescence patterns-application on a finite element model, Mechanics Research Communications, vol.34, pp.181-190, 2007. ,
Investigation of the relationship between damping and mode-coupling patterns in case of brake squeal, Journal of Sound and Vibration, vol.307, issue.3-5, pp.591-609, 2007. ,
DOI : 10.1016/j.jsv.2007.06.041
URL : https://hal.archives-ouvertes.fr/hal-00225720
Hybrid Methods for Nonlinear Least Squares, IMA Journal of Numerical Analysis, vol.7, issue.3, 1992. ,
DOI : 10.1093/imanum/7.3.371
Experimental analysis of brake squeal noise on a laboratory brake setup, Journal of Sound and Vibration, vol.292, issue.1-2, pp.1-20, 2006. ,
DOI : 10.1016/j.jsv.2005.05.032
URL : https://hal.archives-ouvertes.fr/hal-00378104
Cours de mécanique des milieux continus, 2006. ,
Vibration reduces metal to metal contact and causes an apparent reduction in friction, ASLE Transactions, vol.10, pp.183-192, 1967. ,
The third-body approach: A mechanical view of wear, Wear, vol.100, issue.1-3, pp.437-452, 1984. ,
DOI : 10.1016/0043-1648(84)90025-5
An effective algorithm for minimization, Numerische Mathematik, vol.3, issue.1, pp.184-189, 1967. ,
DOI : 10.1007/BF02162162
Mechanical Vibrations -Theory and Application to Structural Dynamics, 1997. ,
Homeomorphisms of systems of differential equations, Dokl. Akad. Nauk SSSR, vol.128, pp.880-881, 1959. ,
Dynamique non-linéaire des systèmes multi-rotors. Études numérique et expérimentale, 2007. ,
Stability and convergence of variable order multistep methods, SIAM J. Numer. Anal, vol.11, issue.5, pp.1044-1058, 1974. ,
DOI : 10.2172/4384150
A minimal model for studying properties of the mode-coupling type instability in friction induced oscillations, Mechanics Research Communications, vol.29, issue.4, pp.197-205, 2002. ,
DOI : 10.1016/S0093-6413(02)00254-9
Effects of damping on mode-coupling instability in friction induced oscillations, Zeitschrift für Angewandte Mathematik und Mechanik, pp.524-534, 2003. ,
DOI : 10.1002/zamm.200310022
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
Brake Squeal Analysis by Using Nonlinear Transient Finite Element Method, SAE Technical Paper Series, 1997. ,
DOI : 10.4271/971510
ON THE MODELLING OF FRICTION OSCILLATORS, Journal of Sound and Vibration, vol.216, issue.3, pp.435-459, 1998. ,
DOI : 10.1006/jsvi.1998.1736
A Recurrence Matrix Solution for the Dynamic Response of Elastic Aircraft, Journal of the Aeronautical Sciences, vol.17, issue.9, pp.540-550, 1950. ,
DOI : 10.2514/8.1722
Differential equations, dynamical systems and linear algebra, 1974. ,
Friction-induced vibration, chatter, squeal and chaos ; part 1 : Mechanics of contact and friction, ASME Journal of Applied Mechanics, issue.7, pp.47208-226, 1994. ,
Friction-induced vibration, chatter, squeal and chaos ; part 2 : Dynamics and modelling, ASME Journal of Applied Mechanics, issue.7, pp.47227-253, 1994. ,
Equivalent linearization for systems subjected to non-stationary random excitation, International Journal of Non-Linear Mechanics, vol.15, issue.2, pp.71-82, 1979. ,
DOI : 10.1016/0020-7462(80)90001-3
Experimental Study on Disc Brake Squeal, SAE Technical Paper Series, 1993. ,
DOI : 10.4271/930802
A generalization of the concept of equivalent linearization, International Journal of Non-Linear Mechanics, vol.8, pp.279-287, 1973. ,
Nonlinear inviscid aerodynamic effects on transonic divergence, flutter and limit-cycle oscillations. A.I.A.A, Journal, vol.40, issue.4, pp.638-646, 2002. ,
The non-smooth contact dynamics method Computer methods in applied mechanics and engineering, pp.235-257, 1999. ,
Vibrations Induced by Dry Friction, Proc. IMechE, pp.847-866 ,
DOI : 10.1177/0020348363178001124
Handbook of viscoelastic vibration damping, 2001. ,
Nonlinear systems, 2002. ,
Automotive disc brake squeal, Journal of Sound and Vibration, vol.267, issue.1, pp.105-166, 2003. ,
DOI : 10.1016/S0022-460X(02)01573-0
Floquet theory for partial differential equations, Russian Mathematical Surveys, vol.37, issue.4, pp.1-60, 1982. ,
Etude d'amortisseurs non-linéaires appliqués aux roues aubagées et aux systèmes multi-étages, 2007. ,
Incremental Harmonic Balance Method With Multiple Time Scales for Aperiodic Vibration of Nonlinear Systems, Journal of Applied Mechanics, vol.50, issue.4a, pp.871-876, 1983. ,
DOI : 10.1115/1.3167160
Modèles de prédiction de l'interaction rotor/stator dans un moteur d'avion, 2005. ,
A method for the solution of certain nonlinear problems in least-squares, Quart. Appl. Math, vol.2, pp.164-168, 1944. ,
Analysis of disc brake squeal using finite element methods, SAE Paper, 1989. ,
Instabilité vibratoire des structures en contact frottant : Application au crissement des freins de TGV, 2007. ,
An approach to the solution of disc brake vibration problems, IMechE, 1993. ,
A comparison of classical and high dimensional harmonic balance approaches for a duffing oscillator, Journal of computational physics, vol.215, pp.298-320, 2006. ,
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
Linear and non-linear numerical approaches, Mechanical Systems and Signal Processing, pp.2374-2393, 2007. ,
Instabilités de contact : analyses temporelle, aux valeurs propres et validation expérimentale, Mécanique et Industries, vol.8, pp.597-607, 2007. ,
Instabilities generated by friction in a pad???disc system during the braking process, Tribology International, vol.40, issue.7, pp.1127-1136, 2007. ,
DOI : 10.1016/j.triboint.2006.11.005
URL : https://hal.archives-ouvertes.fr/insu-00199664
Elements of Vibration Analysis, Mac Graw Hill International Editions, 1986. ,
Brake Noise Caused by Longitudinal Vibration of the Disc Rotor, SAE Technical Paper Series, 1993. ,
DOI : 10.4271/930804
An Analysis of Disc Brake Squeal, SAE Technical Paper Series, 1978. ,
DOI : 10.4271/780332
Acoustic radiation models of brake systems from stationary ldv measurements, Proceedings of IMEC, American Society of Mechanical Engineers, 1999. ,
Etude de la stabilité d'un équilibre en présence de frottement de Coulomb, application au crissement des freins à disque, 1998. ,
Brake squeal analysis by finite elements, International Journal of Vehicle Design, vol.234, issue.3, pp.263-275, 2000. ,
Modélisation du frottement en pied d'aube par une approche fréquentielle, 2002. ,
Applied nonlinear dynamics, 1995. ,
DOI : 10.1002/9783527617548
A New Method Development to Predict Brake Squeal Occurrence, SAE Technical Paper Series, 1994. ,
DOI : 10.4271/942258
A hybrid method of component mode synthesis, Computer and Structures, vol.1, pp.581-601, 1971. ,
Instability and friction, C.R. Mécanique, vol.331, pp.99-112, 2003. ,
Study on disc brake squeal, SAE Paper, 1989. ,
Disc brake squeal, a theoretical model, Motor Industry Research Association M.I.R.A, 1972. ,
Numerical Optimization, 1999. ,
DOI : 10.1007/b98874
Models and computational methods for dynamic friction phenomena, Computer Methods in Applied Mechanics and Engineering, vol.52, issue.1-3, pp.527-634, 1985. ,
DOI : 10.1016/0045-7825(85)90009-X
A methodology for the determination of dynamic instabilities in a car disc brake, International Journal of Vehicle Design, vol.23, issue.3/4, pp.241-262, 2000. ,
DOI : 10.1504/IJVD.2000.001894
Ondes adh??rence???glissement???d??collement sous contact unilat??ral frottant, Comptes Rendus M??canique, vol.331, issue.2, pp.133-140, 2003. ,
DOI : 10.1016/S1631-0721(02)00009-8
Numerical analysis of automotive disc brake squeal: a review, International Journal of Vehicle Noise and Vibration, vol.1, issue.3/4, pp.207-231, 2005. ,
DOI : 10.1504/IJVNV.2005.007524
An Improved Stiffly Stable Method for Direct Integration of Nonlinear Structural Dynamic Equations, Journal of Applied Mechanics, vol.42, issue.2, pp.464-470, 1975. ,
DOI : 10.1115/1.3423600
A fortran subroutine for solving systems of nonlinear algebraic equations, Numerical Methods for Nonlinear Algebraic Equations, 1970. ,
Note sur la convergence de méthodes de directions conjuguées. Revue française d'informatique et de recherche opérationnelle, série rouge, pp.35-43, 1964. ,
A dual Craig???Bampton method for dynamic substructuring, Journal of Computational and Applied Mathematics, vol.168, issue.1-2, pp.383-391, 2004. ,
DOI : 10.1016/j.cam.2003.12.014
A study of disc modal behavior during squeal generation using high-speed electronic speckle pattern interferometry and near-field sound pressure measurements, Proceedings of the Institution of Mechanical Engineers, 2000. ,
Improved component mode representation for structural dynamics analysis. A.I.A.A, Journal, vol.13, issue.8, pp.995-1006, 1975. ,
The bipotential method : A constructive approach to design the complete contact law with friction and improved numerical algorithms, Mathematical and computer modelling, vol.28, pp.4-8225, 1998. ,
Introduction to numerical analysis, 1980. ,
Experimental Investigation of Self-Excited Squeal, SAE Technical Paper Series, 1989. ,
DOI : 10.4271/892451
ANALYSIS OF DISC BRAKE NOISE USING A TWO-DEGREE-OF-FREEDOM MODEL, Journal of Sound and Vibration, vol.254, issue.5, pp.837-848, 2002. ,
DOI : 10.1006/jsvi.2001.4127
Computer Solution of Ordinary Differential Equations : the Initial Value Problem, W. H. Freeman, 1975. ,
Bifications of topological type of singular points of vector fields that depend on parameters, Funktsional. Anal, i Prilozhen, vol.6, issue.2, pp.97-98, 1972. ,
On the existence and uniqueness of solutions generated by equivalent linearization, International Journal of Non-Linear Mechanics, vol.13, issue.2, pp.71-78, 1978. ,
DOI : 10.1016/0020-7462(78)90017-3
The influence of damping on the limit cycles for a self-exciting mechanism, Journal of Sound and Vibration, vol.304, issue.3-5, pp.875-893, 2007. ,
DOI : 10.1016/j.jsv.2007.03.043
URL : https://hal.archives-ouvertes.fr/hal-00213334
An augmented lagrangian treatment of contact problems involving friction, Computers & Structures, vol.42, issue.1, pp.97-116, 1992. ,
DOI : 10.1016/0045-7949(92)90540-G
A non-linear study of a cracked rotor, European Journal of Mechanics - A/Solids, vol.26, issue.1, pp.152-170, 2007. ,
DOI : 10.1016/j.euromechsol.2006.04.002
URL : https://hal.archives-ouvertes.fr/hal-00207767
Frictional vibrations, ASME Journal of Applied Mechanics, vol.77, pp.207-213, 1955. ,
A theory of brake squeal, ARCHIVE: Proceedings of the Institution of Mechanical Engineers, Automobile Division 1947-1970, vol.1961, issue.1961, pp.33-40 ,
DOI : 10.1243/PIME_AUTO_1961_000_009_02
Methods to reduce non-linear mechanical systems for instability computation. Archives of Computational Methods in Engineering -State of the art reviews, pp.257-344, 2004. ,
URL : https://hal.archives-ouvertes.fr/hal-00322911
Stability analysis and non-linear behavior of structural systems using the complex non-linear analysis (cnlma) Computers and Structures, pp.1891-1905, 2006. ,
Fourier methods for quasi-periodic oscillations, International Journal for Numerical Methods in Engineering, vol.18, issue.5, 2005. ,
DOI : 10.1002/nme.1632
Role of intrinsic contact oscillations in normal direction during friction, 1971. ,
Numerical modeling of friction-induced vibrations and dynamic instabilities. Friction-Induced Vibration, ASME, pp.15-26, 1994. ,
Significance of the normal degree of freedom and natural normal vibration in contact friction, Wear, vol.10, pp.199-213, 1967. ,
Unification of the impedance and component mode formulations for the assembling of flexibles structures ,
Minimal models for disk brake squeal, Journal of Sound and Vibration, vol.302, issue.3, pp.527-539, 2007. ,
DOI : 10.1016/j.jsv.2006.11.023
Brake squeal : Modeling and experiments, 2003. ,
The Finite Element Method, fourth edition, 1994. ,