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VITA NAME: Ali Hasan Nayfeh RANK: University Distinguished Professor Emeritus VirginiaPolytechnic Institute and State University 540-231-6871(Sally)/FAX540-231-0696/[email protected]/WEBhttp://www.esm.vt.edu/∼anayfeh/ DATE OF BIRTH: December 21, 1933 CURRENT FIELDS OF INTEREST Perturbation methods, nonlinear dynamics, linear and nonlinear control, dynamics and control of power systems, structural mechanics, shipand submarine motion,acoustics, hydrodynamicstability,aerodynamic, nonlinear waves, flight mechanics EDUCATION 1962,B.S., Stanford University, Engineering Science, Great Distinction 1963,M.S., Stanford University,Aeronautics and Astronautics 1964,Ph.D., Stanford University, Aeronautics and Astronautics SERVICE 1976-1977 Chairman of a committee of 35 US educators that established the College of Engineering at King Abdulaziz University in Jeddah, Saudi Arabia. 1980-1984 Chairman of a committee that established the College of Engineering, served as Dean of Engi- neering and Vice President for engineering affairs. 1988 Chairman of the NSF Steering Committee on Nonlinear Dynamics, with D. T. Mook, Nonlinear Dynamics, Volume 5 of Research Needs in Dynamic Systems and Control, published by ASME for NSF, April. 1988-present Member of the US Transition Study Group. 1994-1995 AconsultantwithfiveUSandEuropeaneducatorsforestablishingabranchofRiyadhUniversity at Abha, Saudi Arabia. 1996- Member of the External Review Board of the Center for Aerospace Research. 1998- Member ofthe Advisory CommitteeInternationalSymposiumon VibrationsofContinuousSystems. 2003 Member of the International Advisory Committee of the MDP-8 Conference, Cairo Egypt, January 4-6. 2006- Member of the International START-/WittgensteinJury, Vienna, Austria. 2007 Member of the Engineering Science and Mechanics Norris HallSpace Review Panel, September. This panel proposed to recreate community in Norris Hall by building welcoming communal learning, dis- covery and outreach spaces for students. 1 TEACHING EXPERIENCE 1971-present VirginiaPolytechnic Institute and State University 1980-1984 Yarmouk University, Irbid, Jordan: Established a College of Engineering, served as Dean of Engineering and Vice President for engineering affairs. SHORT COURSES 1974 Organizedandgavefourlectures,andashortcourseonPerturbationMethods,UniversityofTennessee Space Institute, November 11-15,1974. 1975 Organized and gave a series of lectures on Perturbation Methods at the Institute for Fluid Dynamics and Applied Mathematics, University of Maryland, College Park, MD, June 9-13, 1975. 1979 Participatedinashortcourse onPerturbationMethods,InternationalCenterforMechanicalSciences, Udine, Italy, October 10-19,1979. 1984 15-hour workshop on Perturbation Methods and Nonlinear Mechanics, Institute of Aeronautics and Astronautics, National Cheng Kung University, Tainan,NationalRepublic of China, March 1984. 1987 12-hourlecture onPerturbation Theory atthe XII Summer Schoolon MathematicalPhysics, Univer- sita Degli Studi Di Napoli,Napoli, Italy,September 14-26,1987. 1991 Nayfeh,A.H.,Mook,D.T.,and Balachandran,B.,“FundamentalConcepts ofthe Modern Theory of Nonlinear Dynamics,” AIAA Professional Studies Series Modern Analysis of Nonlinear Systems with Applications, New Orleans, LA, August 15-16,1991. 1992 “NonlinearDynamicsandControlwithApplicationtoAirplanes”NASAShortCourse,NASALangley Research Center, Hampton, VA, July 26-August 5, 1992. 1996 “NonlinearDynamicsandControlwithApplicationtoAirplanes”NASAShortCourse,NASALangley Research Center, Hampton, VA, March 11-15,1996. GRADUATE PROGRAMS SUPERVISED Senior Projects: 1. Neal, H. L., 1988 “Nonstationary Response of a Nonlinear System to Nonperiodic Parametric Excita- tions with Varying Frequency” 2. Nayfeh, T. A., 1989 “Modal Interaction in Structures – Theory and Experiment” 3. Nayfeh, S. A., 1990 “Nonlinear Oscillations of a Stretched String” Winner of the D. H. Pletta Award for the outstanding senior project. 4. Fripp, M., 1992 “Experimental Investigation of Linear Bearings” 5. Kreider,W.,1993“AnAnalyticalandExperimentalInvestigationoftheNaturalFrequenciesandMode Shapes of a Buckled Beam with Fixed Ends” 6. Popovic,P.,1994“AnExperimental InvestigationofEnergy Transfer froma High-Frequency Mode to a Low-Frequency Mode in a Flexible Structure” 7. Hall,B., 1997“The Identification of a Nonlinear, NonidealVibrating System,” selected for Honorable Mention 2 Master of Science: 1. Asfar, O., 1973 “An Analytical Solution of the Nonlinear Eddy current Losses in Ferromagnetic Ma- terials” 2. Shaker, B. S., 1974 “Influence of Linear Thickness on Wave Propagation in Ducts” 3. Atta, E. H., 1974 “Unsteady Flow over Arbitrary Wing-PlanformsIncluding Tip Separation” 4. Asfar, K. R.,1978 “Application of the Vortex-Lattice Technique to Arbitrary Bodies” 5. Huddleston, D.,1978 “Resonant Acoustic Frequencies of Parallel Plates” 6. Page, M., Nonthesis 7. Reed, H. L., 1980 “Closed-Form Solutions for Subsonic Flows Over Plates with Porous Strips” 8. Shayan, T., 1981 “An Analysis of Cubic Nonlinear, Multidegree-of-Freedom Systems Including the Interaction of Parametric and External Excitations” 9. Abu Arish, A., 1983 “The Response of Single-Degree-of-Freedom Systems with Cubic and Quartic Nonlinearities to a Harmonic Excitation” 10. Serhan, S., 1985 “Vertical Vibration of Machine Foundations” 11. Raouf,R. A., 1985 “Nonlinear Forced Response of Circular Cylindrical Shells” 12. Jebril,A.,1985“TheResponse ofTwo-Degree-of-FreedomSystems with Quadraticand CubicNonlin- earities to Multifrequency Parametric Excitations - Application to an Arch” 13. Feeny, B. F., 1986 “Identification of Nonlinear Ship Motion Using Perturbation Techniques” 14. Al-Maaitah,A. A., 1986 “Effect of Roughness Element on the Stabilityof Boundary Layers” 15. Bouguerra, H., 1987 “Non-Linear Response of a Fluid Valve” 16. Krishna, R. C., 1988 “Effect of Surface Imperfections on the Stabilityof LaminarBoundary Layers” 17. Masad, J. A., 1988 “Subharmonic Instability in Boundary Layers” 18. Colbert, M. A., 1990 “An OptimalSystem for Three-Dimensional Motion Measurement” 19. Heydon, B., 1990 “Adaptive Quenching in Nonlinear Systems” 20. Nayfeh, M. A., 1990 “Nonlinear Dynamics of Power Systems” 21. Neal, H.L., 1990“Nonstationary Response of Nonlinear Systems to Frequency and Amplitude Modu- lated Excitations” 22. Nayfeh, T. A., 1991 “Dynamics of Three-Degree-of-Freedom Systems with Quadratic Nonlinearities” 23. Kreider, M. A.,1992 “A Numerical Investigationof the GlobalStabilityof Ship Roll: InvariantMani- folds, Melnikov’sMethod, and Transient Basins” 24. Yana,M., 1993 “An Investigation of Flow-Induced Vibrations of a Steam-Generator Tube” 25. Abu-Khajeel, H., 1993 “Effect of Humps on the Stability of Boundary Layers Over an Airfoil” 26. Nayfeh, S., 1993 “Nonlinear Dynamics of Systems InvolvingWidely Spaced Frequencies” 27. Ashour, O., 1993 “Receptivity to Free Stream Acoustic Disturbances due to a Roughness Element on a Flat Plate” 28. Kreider, W., 1995 “Linear and Nonlinear Vibrations of Buckled Beams” 3 29. Fiedler, L., 1996 “An Experimental and Theoretical Investigation into the Influence of Hysteretic Dampingon the Dynamic Behavior of a Three-Beam Structure” 30. Lacarbonara, W., 1997 “A Theoretical and Experimental Investigation of Nonlinear Vibrations of Buckled Beams” 31. Krauss, R. W. 1998 “Experimental Identification of Nonlinear Systems” 32. Fung,J.,1998“ParameterIdentificationofNonlinearSystemsUsingPerturbationMethodsandHigher- Order Statistics” 33. Al-Fayyoumi,M., 1998 “Nonlinear Dynamics and Interactions in Power Electronic Systems” 34. Manzione, P., 1999 “Nonlinear Transverse Vibrations of Centrally Clamped Rotating Circular Disks 35. Henry, R. J., 1999 “Cargo Pendulation Reduction on Ship-Mounted Cranes,” 36. Hall,B.D.,1999“NumericalSimulationsoftheAeroelasticResponseofanActivelyControlledFlexible Wing” 37. Al-Mousa,A.,2000“ControlofRotaryCranesUsingFuzzyLogicandTime-DelayedPositionFeedback Control” 38. Al-Aqrabawi, M., 2001 “Combat System Modeling: Modeling Large-Scale Software and Hardware Application Using UML” 39. Younis, M., 2001“Investigation of the Mechanical Behavior of Microbeam-Based MEMS Devices” 40. Daqaq,M., 2003 “Virtual Reality Simulationof Ships and Ship-Mounted Cranes” 41. Abdelkefi, A.,2010,“An Energy Harvester Using Piezoelectric Cantilever Beams Undergoing Coupled Bending-Torsion Vibrations Doctor of Philosophy: 1. Bordner, G. L., 1973 “Nonlinear Stability of Thin Liquid Films Adjacent to Compressible Stream” 2. Tsai, M-S., 1974“High Intensity Sound in Lined Ducts” 3. Kandil, O. A., 1974 “Prediction of the Steady Aerodynamic Lifting Surfaces Having Separation at Sharp Edges” 4. Sridhar, S., 1975 “Nonlinear Resonances in Systems Having Many Degrees of Freedom” 5. Asfar, O. R.,1975 “Perturbation Theory of Modes in Nonuniform Wave Guides” 6. Lobitz, D. W., 1975 “Linear and Nonlinear Vibrations of Irregular Structural Elements” 7. Sun,J.,1975“Effects ofIsotropicandAnisotropicBulkLinersonWavePropagationinDuctsCarrying Flows” 8. Shaker, B. S., 1976 “Transmission of Sound Through Nonuniform Circular Ducts with Compressible Mean Flows” 9. Lekoudis, S., 1976 “Nonlinear Resonant Interactions in Supersonic Wind Generated Waves” 10. Atta, E. H., 1978 “Nonlinear Steady and Unsteady Aerodynamics of Wings and Wing-Body Combi- nations” 11. El-Hady,N., 1978 “NonparallelStability of Compressible Boundary Layer Flows” 12. Bozatli,A.N.,1979“EffectsofWallUndulationsandInteractionofDisturbanceWavesontheStability of Boundary Layer Flows” 4 13. Marshall,R.L.,1979“AnExperimental Study ofAcousticPropagationandAttenuation inaCircular Annular Duct with Variable Cross-Sectional Area” 14. Kelly,S.G.,1979“NonlinearInteractions ofAcousticFieldswithBodies underHarmonicExcitations” 15. Ragab,S. A., 1979 “Viscous-Inviscid Interacting Flows and Some Aspects of their Stability” 16. Padhye, A., 1980 “NonparallelStability of Three-Dimensional Flows” 17. Asfar, K. R., 1980 “Response of Self-Excited Multidegree-of-Freedom Systems to Multifrequency Ex- citations” 18. Kelly,J.,1981 “Acoustic Propagation inNonuniformCircular Ducts Carrying Near-Sonic Meanflows” 19. Reed, H. L., 1981 “The Tollmien-SchlichtingInstabilityof Laminar Viscous Flows” 20. Yen, A. T., 1981 “A Continuous-Vorticity Panel Method for the Prediction of Steady Aerodynamic Loads on Lifting Surfaces” 21. Asrar, W.,1983 “Stabilityof Heated Boundary Layers” 22. Klimkowski,J. Z., 1984 “Gortler Instabilityof Compressible Flows with Pressure Gradients” 23. Elzebda, J. M., 1986“Two-Degree-of-Freedom Wing Rock and Nonlinear Aerodynamic Interference” 24. Zavodney,L. D., 1987“A Theoretical and Experimental Investigation of ParametricallyExcited Non- linear Mechanical Systems” 25. Mracek, C. P. Capt., 1988 “Unsteady Potential-Flow Solution Using Vortex Panels Coupled with Dynamics and Controls” 26. Al-Maaitah, A. A., 1989 “Effect of Suction and Cooling on the Stability of Subsonic and Supersonic Boundary Layers” 27. Serhan, S. J., 1989 “Response of Nonlinear Structures to Deterministic and Random Excitations” 28. Raouf,R. A., 1989 “Modal Interactions in Shell Dynamics” 29. Sanchez, N. E., 1989 “Stabilityof Nonlinear Oscillatory Systems with Applicationto Ship Dynamics” 30. Masad, J. A., 1990 “Secondary Instabilities of Boundary Layers” 31. Nayfeh, J. F., 1990 “Dynamics of Composite Plates Using Higher-Order Shear Deformation Theory” 32. Pai, P. F., 1990 “Nonlinear Flexural-Flexural-TorsionalDynamics of Metallic and Composite Beams” 33. Balachandran, B., 1990 “A Theoretical and Experimental Study of Modal Interactions in Structures” 34. Hadian,J., 1991 “ModalInteractions in the Dynamic Response of Isotropic and Composite Plates” 35. Abou-Rayan,A., 1991 “Deterministic and Stochastic Responses of Nonlinear Systems” 36. Oh, I., 1992 “A Theoretical and Experimental Investigation into the Nonlinear Dynamics of Floating Bodies” 37. Anderson, T. J., 1993 “Nonlinear Vibrations of Metallicand Composite Structures” 38. Bikdash, M. U., 1993 “Time-Optimaland Saturating Controls with Applications to Space Structure” 39. Chin, C-M., 1993“Problems in Nonlinear Dynamics” 40. Oh,K.,1994“ATheoreticalandExperimentalStudyofModalInteractionsinMetallicandLaminated Composite Plates” 5 41. Tabaddor,M., 1996 “Nonlinear Vibration of Beam and Multibeam Systems” 42. Harb, A., 1996 “Application of Bifurcation Theory to Subsynchronous Resonance in Power Systems” 43. Pratt, J., 1997 “Vibration Control for Chatter Suppression with Application to Boring Bars” 44. Lacarbonara,W.,1998“ApproximateMethodsandModelsinNonlinearVibrationsofOne-Dimensional Systems with InitialCurvature,” (University of Rome “La Sapienza”, Rome, Italy) 45. Oueini, S., 1999 “Techniques for ControllingStructural Vibrations” 46. Arafat, H., 1999 “Nonlinear Response of Cantilever Beams” 47. El-Badawy,A.,2000“StructuralIdentificationandBuffet AlleviationofTwin-TailedFighterAircraft” 48. Masoud,Z.,2000“AControlSystemfortheReductionofCargoPendulationofShip-MountedCranes” 49. Suleiman,B., 2000 “Identification of Finite-Degree-of-Freedom Models for Ship Models” 50. Fahey, S., 2000 “Parameter Identification of Structural Systems Possessing One or Two Nonlinear Normal Modes” 51. Mazumder, S., 2001 “Nonlinear Analysis and Control of Standalone and Parallel DC-DC and Multi- Phase Switching Converters” 52. Ashour, O., 2001 “Nonlinear Control of Plate Vibrations” 53. Alhazza, K., 2002 “Nonlinear Vibrations of Doubly Curved Cross-Ply ShallowShells” 54. Emam,S., 2002 “A Theoretical and Experimental Study of Nonlinear Dynamics of Buckled Beams” 55. Thomsen, J. J., 2003 External Examiner of the Doctoral Thesis of J. J. Thomsen, Copenhagen, Den- mark, May 12-18 56. Omar, H. M.,2003 “Control of Gantry and Tower Cranes” 57. Malatkar,P., 2003 “Nonlinear Vibrations of Cantilever Beams and Plates” 58. Faris, W., 2003 “Nonlinear Dynamics of Annular and Circular Plates under Thermal and Electrical Loading” 59. Younis, M., 2004 “Modeling and Simulation of Microelectromechanical Systems in Multidisciplinary Fields” 60. Zhao, X., 2004 “Modeling and Simulationof MEMS Devices” 61. Reddy, Chevva Konda, 2005“Practical Challenges in the Method of Controlled Lagrangians” 62. Daqaq, M., 2006, “Adaptation of Nontraditional Control Techniques to Nonlinear Micro and Macro Mechanical Systems” 63. Vogl, G., 2006, “Nonlinear Dynamics of Circular Plates Under Electrical Loadings for Capacitive Micromachined Ultrasonic Transducers (CMUTs)” 64. Akhtar, I., 2008, “Parallel Simulation, Reduced-Order Modeling, and Feedback Control of Vortex Shedding using Fluidic Actuators” 65. Hammad, B., 2008, “Modeling, Simulation, and Analysis of Micromechanical Filters Coupled with Capacitive Transducers” 66. Marzouk, O., 2009, “Simulation, Modeling, and Characterization of the Wakes of Fixed and Moving Cylinders” 6 67. Abdelkefi, A.,2012,“GlobalNonlinearAnalysis ofPiezoelectric Energy Harvesting fromAmbientand Aeroelastic Vibrations” 68. Bahrami, A., 2012,“Nonlinear Dynamics of TappingMode Atomic Force Microscopy” 69. Taha,H.E., 2013,“Mechanics ofFlappingFlight: AnalyticalFormulationsfor Unsteady Aerodynam- ics, Kinematic Optimization,Flight Dynamics and Control” INDUSTRIAL EXPERIENCE 1964-68 Heliodyne Corporation Worked on: reentry physics, orbital mechanics, shock wave structure, plasma waves, nonlinear vibrations, asymptotic expansions 1969-71 AerothermCorporation(Manager-MathematicalPhysicsDepartment)Workedon: reentryphysics, orbitalmechanics, flightmechanics, water waves, hydrodynamic stability,transpiration cooling,waves in elastic media, asymptotic expansions HONORS AND RECOGNITIONS 1. American Friends of the Middle East Scholarship, 1959-1962 2. Stanford University Scholarship, 1959-1962 3. Department of Aeronautics and Astronautics Affiliates Scholarship, 1962-1964 4. Third Annual Stanford School of Engineering Scholastic Prize, 1962 5. Certificate for Excellence in Teaching, 1974,1975, 1976 6. Named University Distinguished Professor of Engineering, 1976 7. Election to the Academy of Teaching Excellence, 1976 8. Society of Engineering Science, Certificate of Appreciation in Recognition of Outstanding Service to the Society, Member, Board of Directors, 1980-1983 9. Kuwait Prize in Basic Sciences (Physics), 1981 10. Yarmouk University Research Award, 1982 11. Alexander von Humboldt FoundationSenior Award, Germany,1988 12. Listed in Outstanding Educators of America 13. Listed in Who’s Who in America 14. Listed in American Men of Science 15. Listed in Who’s Who in Aviationand Aerospace 16. Listed in Who’s Who in the East 17. Listed in Who’s Who in Science and Technology 18. American Institute of Aeronautics and Astronautics Pendray Aerospace Literature Award, 1995 (For seminal contributions to perturbation methods, nonlinear dynamics, acoustics, and boundary-layer transition; praiseworthy for their quality relevance, timeliness, and lasting influence on the aerospace community.) 19. Society for Design and Process Science, FoundingBoard Member, Austin, TX, December 6-9, 1995 7 20. Honorary Doctorate, Marine Technical University, St. Petersburg, Russia, 1996 21. American Society ofMechanical Engineers J. P.Den Hartog Award, 1997(Presented in recognition of lifetime contributions to the teaching and practice of vibration engineering.) 22. Frank J. Maher Award for Excellence in Engineering Education, 1997 23. College of Engineering Dean’s Award for Excellence in Research, 1998 24. Honorary Doctorate, Technical University of Munich, Munich, Germany,1999 25. S. K. Mazumder, A. H. Nayfeh, and D. Borojevic, “A Theoretical and Experimental Investigation of theFast-andSlow-ScaleInstabilitiesofaDC-DCConverter,”IEEETransactionsonPowerElectronics, Vol. 16,No. 2,2001,pp. 201-216. WinneroftheIEEEPowerElectronicsSocietyTransactions Prize Paper Award for 2001. 26. Honorary Doctorate, Politechnika Szczecinska, Poland, May 2004 27. ASMELyapunovAwardfirstrecipientof newly establishedandprestigiousaward. (Presented for lifelongcontributions to the field of nonlinear dynamics), 2005. 28. VirginiaLife Achievement in Science Award, 2005. 29. The Academy Gold Medal of Honor from The Academy of Transdisciplinary Learning and Advanced Studies (TheATLAS). (In recognition of distinguished contributions to the advancement of transdisci- plinaryfoundationalideasandactivitieswhichhavebeeninstrumentalindevelopingandimplementing the concepts and philosophyof transdisciplinary education and research), 2008. 30. AMD/ASME Tom Caughey Award first recipient of newly instituted award. (Presented for significantcontributionstothefieldofnonlineardynamicsthroughpractice, research, teaching,and/or outstanding leadership), 2008. 31. Recipient of the Benjamin Franklin Medal in Mechanical Engineering. (Presented for the develop- ment of novel methods to model complex engineering systems in structural dynamics, acoustics, fluid mechanics and electromechanical systems), 2014. CONSULTING AND PATENTS Spring 1971-1976,Aerotherm Corporation Spring 1971-1976,Sandia Corporation Fall1975-1978,ICST Summer 1978-present, Hersch Engineering Associates Fall1979-present, Westinghouse Electric Fall1985-present, Morning International Winter 1985,Fermi Lab US Patent No. 6,631,300, Nonlinear Active Control of Dynamical Systems, Oct. 7, 2003, A. H. Nayfeh, D. T. Mook, Z .N. Masoud, and R. Henry European Patent No. 1,235,735, Nonlinear Active Control of Dynamical Systems, March 13, 2005, A. H. Nayfeh, D. T. Mook, Z .N. Masoud, and R.Henry 8 US Patent No. 7,044,314,Nonlinear Active Control of DynamicalSystems, May 16,2006,A. H. Nayfeh, D. T. Mook, Z. N. Masoud, and R. Henry Chinese Patent No. ZL 00815340.X,NonlinearActive Controlof DynamicalSystems, February 15,2006,A. H. Nayfeh, D. T. Mook, Z. N. Masoud, and R.Henry MEMBERSHIP IN SCIENTIFIC AND PROFESSIONAL SOCI- ETIES Tau Beta Pi Phi Beta Kappa Sigma Xi American Institute of Aeronautics and Astronautics (Fellow) - 1991 American Academy of Mechanics (Fellow) - 1986 American Physical Society (Fellow) - 1975 American Society of Mechanical Engineering (Fellow) - 1991 Society for Design and Process Science (Fellow) - 1996 American Society of Naval Engineers - 2005 REVIEWER Journal of Fluid Mechanics Physics of Fluids AIAA Journal Journal of Spacecraft and Rockets SIAM Journal of Applied Mathematics Journal of the Acoustical Society of America Journal of Mathematical Physics National Science Foundation Journal of Sound and Vibration Journal of Applied Mechanics Journal of Vibration and Acoustics 9 Journal of Ship Research Army Research Center International Journal of Solids and Structures Journal of Hydronautics Celestial Mechanics IEEE Transactions on Sonics and Ultrasonics The Physical Review Journal of Aerospace Engineering CONTRIBUTING EDITOR (1988-1990)International Journal of Non-Linear Mechanics EDITOR-IN-CHIEF Nonlinear Dynamics Journal of Vibration and Control (1995-2014) EDITOR Nonlinear Science Book Series, Wiley CONFERENCES ORGANIZED 1. Seventh International Symposium on Nonlinear Acoustics, VPI&SU, Blacksburg, VA, August 19-21, 1976. 2. Second Conference on Nonlinear Vibrations, Stability, and Dynamics of Structures and Mechanisms, VPI&SU, Blacksburg, VA, June 1-3,1988. 3. Third International Congress of Fluid Mechanics, Cairo, Egypt, January 2-4, 1990. 4. Third Conference on Nonlinear Vibrations, Stability, and Dynamics of Structures and Mechanisms, VPI&SU, Blacksburg, VA, June 25-27,1990. 5. Fourth International Congress of Fluid Mechanics, Cairo, Egypt, April 28-30,1992. 6. Fourth Conference on Nonlinear Vibrations, Stability, and Dynamics of Structures and Mechanisms, VPI&SU, Blacksburg, VA, June 7-11,1992. 7. FifthConferenceonNonlinearVibrations,Stability,andDynamicsofStructures,VPI&SU,Blacksburg, VA, June 12-16,1994. 8. International Conference on Asymptotics in Mechanics, St. Petersburg, Russia, August 14-17,1994. 9. Sixth Conference on Nonlinear Vibrations, Stability, and Dynamics of Structures, VPI&SU, Blacks- burg, VA, June 9-13, 1996. 10

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Nayfeh, S. A., 1990 “Nonlinear Oscillations of a Stretched String” Winner of the . Abou-Rayan, A., 1991 “Deterministic and Stochastic Responses of Nonlinear .. PERTURBATION METHODS WITH MAPLE, with C-M. A. H. Nayfeh and N. E. Sanchez, “Bifurcations in a Forced Softening Duffing Oscillato
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