Jean Lerbet

 

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Professeur

email: jean.lerbet@ibisc.univ-evry.fr

 

Dressage 

BaccalaurŽats A et C, Licence de MathŽmatiques, IngŽnieur Civil des Ponts et ChaussŽes,  DEA de MŽcanique ThŽorique  de Paris 6 (Major Mention TB), Docteur IngŽnieur de Paris 6 (FŽlicitations), AgrŽgŽ de MathŽmatiques (59¡), DEA de Philosophie de lÕUniversitŽ de Tours, HDR de Paris 6 (UnanimitŽ)

Thmes de Recherches (mots clŽs)

 Thme 1: GŽomŽtrie et MŽcanique

Groupes de Lie, SingularitŽs dÕapplications, VariŽtŽs fibrŽes principales, Contr™le

 Thme 2: StabilitŽ

Systmes non conservatifs, DegrŽ gŽomŽtrique de non-conservativitŽ, Aspects non locaux

Principales Publications et ConfŽrences

 Publications

[1] J. Lerbet Ó Analytic Geometry and Singularities of MechanismsÓ, ZAMM, 78, 1998,10, 687- 694.

[2] J. Lerbet ÓDecomposition of the space of parameters of a kinematical chain by its singularitiesÓ Mechanic Research Communication, Vol.25, N¡6, 1998, 637-642

[3] J. Lerbet, K.Hao ÓKinematics of Mechanisms to the second Order-Application to the closed mechanismsÓ Acta Applicandae Mathematicae, 59,1999, 1-19.

[4] J. Lerbet ÓDynamics of Mechanisms : some intrinsic propertiesÓ Mechanic Research Communication, Vol.26, N5, 1999, 507-515.

[5] J. Lerbet ÓOn some explicite relations in kinematics of mechanismsÓ Mechanic Research Communication, Vol.27, N6, 2000, 621-630.

[6] J. Lerbet ÓSingular Set of four Screws : an intrinsic solution.Ó Mechanism and Machine Theory , Vol.38, 2003, 179-194.

[7] J. Lerbet, M.Fayet ÓConcerning the singularities of mechanisms and the degree of mobilityÓ IMech, Vol.217, PartK :, J. Multi-body Dynamics, 2003, 111-119.

[8] J. Lerbet Ó Generation of General Equations of Curvilinear Systems. A Coordinate-free Approach by using Lie Group TheoryÓ Mechanic Research Communication, Vol.30, 2003, 505-512.

[9] E.Absi, J. Lerbet ÓInstability of Elastic BodiesÓ Mechanic Research Communication, Vol.31, 2004, 39-44.

[10] J. Lerbet ÓNon linearDynamics of Curvilinear Systems. A new coordinateless

approachÓ ,Journal of Applied Mathematics and Mechanics (PMM), 69 (2005), 917-924

[11] J. Lerbet Ó Coordinate free Kinematic Analysis of Overconstrained MechanismsÓ, ZAMM,85, 2005,10, 721-739

 [12] J. Lerbet "Non linearDynamics of Curvilinear Systems. A new coordinateless approach",Journal of Applied Mathematics and Mechanics, 69 (2005) 917-924

[13] J. Lerbet " Coordinate free Kinematic Analysis of Overconstrained Mechanisms",ZAMM, 85 (2005), 10,721-739

[14] S.Staicu,J. Lerbet, "A comparative Analysis in Dynamics of parallel Manipulators",UPB Scienti_c Bulletin, Series D: Mechanical Engineering,(2005) Vol. 67, No. 2

[15] J. Lerbet "About the automatic generation of equations of curvilinear systems",Journal of Nonlinear Dynamics (2008), Vol.52,Numbers 1-2, Ap 2008 151-158

[16] N. Challamel, C. Casandjan, J. Lerbet "On the occurrence of flutter in the latŽral-torsional instabilities of circular arches under follower loads", Journal of Sound andVibration (2008),

[17] J. Lerbet " About the synchronization of Mems", Nonlinear Analysis: Real World Applications (2009), Vol.10, Issue 1, Feb. 2009, 266-276

[18] J. Lerbet, E.Absi, A. Rigolot "About the stability of nonconservative undamped elastic systems: some new elements", International Journal of Structural Stabilityand Dynamics (2009), Vol. 9, No. 2, 357-367

[19] N.Challamel, F.Nicot, J. Lerbet, F.Darve "On the stability of nonconservative elastic systems under mixed perturbations", European Journal of Environnemental and CivilEngineering (EJECE) (2009), Vol. 13, No. 3, 347-367

[20] A.Essghaier, L.Beji, El Kamel, A.Abichou, J.Lerbet 'Co-leaders and a flexible virtualstructure based formation motion control" Accepted to IJVAS (International Journalof Vehicles Autonomous Systems), (2009).

[21] J. Lerbet " Singularities and Stability of a Work Function", Chapter of "Lie Groups: New Research", Ed. A.B. Canterra, Noya Publisher Series:Mathematics Research Developments (2010)

[22] N.Challamel, F.Nicot, J. Lerbet, F.Darve "Some stability results on optimization of elastic structures under kinematics constraints", Engineering Structures 32(2010) 3086-3092

[23] F.Nicot, N.Challamel, J. Lerbet, F.Darve,F. Prunier "Bifurcation and generalized mixed loading conditions in geomaterials", International Journal of Analytical and Numerical Methods in Geomechanics (2010), Article first published online: 2 SEP2010 | DOI: 10.1002/nag.959.

[24] F.Nicot, N.Challamel, J. Lerbet,F. Prunier, F.Darve, "Some insights into structure instability and the second-order work criterion", IJSS , International Journal of Solids and Structures 49 (2012) 132-142

[25] J. Lerbet,M. Al-Dowaji, F.Nicot, N.Challamel, F.Darve,F. Prunier "P-definite positive matrices and stability of non conservative systems", ZAMM ,in press, DOI201100055

[26] J. Lerbet,O. Kirillov, M. Al-Dowaji, F.Nicot, N.Challamel, F.Darve, "Additionalconstraints may soften a non-conservative structural system: buckling and vibration analysis" IJSS , International Journal of Solids and Structures, acceptŽ pour publication

[27] N. Azouz, S. Chaabani, J. Lerbet, A. Abichou,"Computation of the added masses of an unconventional airship", Journal of Applied Mathematics, acceptŽ pour publication

[28] N. Challamel, J.Lerbet, Wang C.M., Zhang Z., Ç Some arguments in favour of nonlocal elasticity from a microstructured buckling model ZAMM È submitted 2012

[29] F. Nicot, J. Lerbet, F. Darve , Ç On the divergence and flutter analyses of some constrained two-degree-of-freedom systemsÓ , J. Eng. Mech., submitted 2012

ConfŽrences (avec comitŽ et actes)

[1] J. Lerbet Ó Groupes de Lie et cinŽmatique des mŽcanismesÓ, 10 congrs de lÕAUM, 2-6 sept 1991, Paris, France.

[2] J. Lerbet Ó Mathematical structure of the closure function of a mechanismÓ, 3 ARK, 7-9 sept 1992, Ferrara, Italie.

[3] J. Lerbet Ó GŽomŽtrie analytique et singularitŽs des mŽcanismesÓ, 13 congrs de lÕAUM, 2-6 sept 1997, Poitiers, France.

[4] J. Lerbet Ó On some specificities of dynamics of mechanismsÓ, ICVEÕ98, 6-8 aout 1998, Dalian, Chine.

[5] J. Lerbet Ó Analytic geometry and classification of mechanismsÓ, IFToMMÕ99, 17-20 juin 1999, Ohulu, Finlande.

[6] J. Lerbet Ó Un rŽsultat remarquable sur le mŽcanisme de BennettÓ, 14 congrs de lÕAUM, 30 aout-3 sept 1999, Toulouse, France.

[7] J. Lerbet Ó On some intrinsic features of dynamics of mechanismsÓ, ASMEÕ99, 12-15 sept 1999, Las Vegas, USA.

[8] J. Lerbet ÓAn intrinsic approach of the dynamics of curvilinear systemsÓ, ICVEÕ02, 18-20 sept 2002, Nanjing, Chine.

[9] J. Lerbet Ó About the Stability of a Work FunctionÓ, IFToMMÕ03, 10-16 aout 2003, Tianjin, Chine

[10] J. Lerbet ÓSur la stabilitŽ des cha”nes cinŽmatiquesÓ, CFM 2003 ,1-5 sept 2003, Nice, France

[11] J. Lerbet ÓMŽcanique non linŽaire des milieux curvilignesÓ, CFM 2003 ,1-5 sept 2003, Nice, France

[12] E.Absi, J. Lerbet, A. Rigolot ÓQuelques questions sur la stabilitŽÓ, CFM 2003 ,1-5 sept 2003, Nice, France

[13] J. Lerbet ÓIntrinsic Formulation of Dynamics of Curvilinear SystemsÓ, ICTAM 04, 15-21 aout 2004, Varsovie, Pologne

[14] J. Lerbet Ó Vibrations of Curvilinear Systems and Lie Group TheoryÓ, Sixth European Conference on Structural Dynamics Eurodyn 2005, 4-7 sept 2005, Paris, France

[15] J. Lerbet Ó Dynamics of Curvilinear Systems and Lie Group TheoryÓ, ASME Conferences IDETCÕ 05, 24-28 sept 2005, Long Beach, USA

[16] J. Lerbet Ó Stability of Singularities of chainsÓ, ASME Conferences IDETCÕ 05, 24-28 sept 2005, Long Beach, USA

[17] J. Lerbet Ó Stability of non-conservative undamped systemsÓ, ASME Conferences IDETCÕ 05, 24-28 sept 2005, Long Beach, USA

[18] J. Lerbet," A new result in linear stability " ICTAM, 26-30 sept 2008, Adelaide,

Australie

[19] J. Lerbet " About the synchronization of MEMS", Seventh European Conference on Structural Dynamics Eurodyn 2008, 6-8 july 2008, Southampton, UK

[20] J. Lerbet "Coordinate free formulation of dynamics of a deformable system with finite displacements", Recent Advances in Non linear Mechanics 2009,27-29 August

2009, Kuala-Lumpur, Malaysia

[21] A.Essghaier El Kamel, L.Beji, J. Lerbet et A.Abichou  Flexible Virtual Structure Consideration in Dynamic Modeling of Mobile Robots Formation, Intelligent Systems

and Auromation: 2nd Mediterranean Conference on Intelligent Systems and

Automation (CISA'09). AIP Conference Proceedings, Volume 1107, pp. 296-301

(2009)

 [22] A.Essghaier El Kamel, L.Beji, J. Lerbet et A.Abichou C_Trajectory generation for a formation of mobile robots via a flexible virtual structure approach , 12th International Conference on Climbing and Walking Robots (CCWR) and the support

technologies for mobile machines, 09-11 september 2009, Istanbul, Turkey.

[23] J. Lerbet,N. Azouz, S. Chaabani "Lie group and motion of a deformable body with finite displacements", IDETC 2011 Washington 28-31 august (ASME)

[24] J. Lerbet, L. Beji, A. Essgahier,A. Abichou, "Coordinate free dynamics of a system of rigid bodies. Application to control.", EMI 2011 Boston 2-4 june

[25] J. Lerbet, M. Aldowaji, F.Nicot, N.Challamel, F.Darve,F. Prunier,"Stability of non

conservative systems under two kinematic constraints and second order work criterion", EMI 2011 Boston 2-4 june

[26] N. Azouz, S. Chabaani, J. Lerbet, A. Abichou "Modeling of an Unconventional

Airship", ASME, ESDA 2012, 2-4 July, Nantes

[27] J.Lerbet , M. Aldowaji , F.Nicot, N.Challamel, F.Darve, "P-positive definite matrices and divergence stability of non conservative constrained systems ", ICTAM 2012 19-24 August , Bejing Chine

[28] M.Aldowaji, J.Lerbet F.Nicot, N.Challamel, F.Darve, O. Kirillov "Softening effect of additional kinematic constraints", EMI 2012 University of Notre Dame USA , 17-20

June