R. VALÉRY ROY
Department of Mechanical Engineering
University of Delaware
Newark, DE 19716
Phone: (302) 831-1019
Fax: (302) 831-3619
email: vroy@udel.edu
www: www.me.udel.edu/roy/
EDUCATION
Ph.D., M.S., Rice University ,
Mechanical Engineering, 1989
Advisor: Prof. P.D. Spanos
Ingénieur Ecole Centrale de Paris, 1984
Ecole Centrale des Arts et Manufactures , Paris, France.
Thesis Topic: Statistical Analysis of Underwater Currents
RESEARCH INTERESTS
1. Creeping flow, coating flows, interfacial science, capillary mechanics.
2. Nonlinear stochastic and deterministic dynamics; chaotic dynamics.
3. Vibration of mechanical and structural systems; stochastic mechanics,
system reliability.
4. Flow and transport in porous media, subsurface hydrology.
5. Numerical analysis and applied mathematics.
PROFESSIONAL EXPERIENCE
- Associate Professor of Mechanical Engineering, University of Delaware,
1995-present.
- Assistant Professor of Mechanical Engineering, University of Delaware,
1989-1994.
- Engineering Consultant, Elf Aquitaine, Paris, 1984.
VISITING APPOINTMENTS
- Visiting Professor, University of Southern Queensland, Australia,
January-July 1996.
AWARDS AND HONORS
Rice University Tuition Award, 1984-1989.
Research Initiation Award, Engineering Foundation/AFOSR, 1991
Research Initiation Award, National Science Foundation, 1994
PUBLICATIONS
Book
Dynamics: A graduate-level course. WWW version at
http://www.me.udel.edu/~roy/620/
Refereed Journal Papers
- Roy, R. V., and Spanos, P. D., "Wiener-Hermite Functional Representation of
Nonlinear Stochastic Dynamics" Structural Safety, 6,
pp. 187-202, 1989.
- Roy, R. V., and Spanos, P. D., "Padé-Type Approach to Nonlinear
Random Vibration Analysis", Probabilistic Engineering Mechanics,
6, Nos. 3-4, pp. 119-128, 1991.
- Yang, C. Y., Cheng, A.H.-D., and Roy, R. V., "Chaotic and Stochastic
Dynamics for a Nonlinear Structural System with Hysteresis and Degradation",
Probabilistic Engineering Mechanics, 6, Nos. 3-4, pp. 193-203,
1991.
- Roy, R. V., and Spanos, P. D., "Power Spectral Densities of
Nonlinear System
Response: The Recursion Method", Journal of Applied Mechanics, Transactions
of the ASME, 60, pp. 358-365, 1993.
- Roy, R. V., "Noise Perturbations of a Nonlinear System with Multiple Steady
States", International Journal of Non-Linear Mechanics, 29, pp. 755-773, 1994.
- Roy, R. V., "Stochastic Averaging of Oscillators Excited
by Colored Gaussian
Processes", International Journal of Non-Linear Mechanics,
29, pp. 463-475, 1994.
- Roy, R. V., "Averaging of Strongly Nonlinear Systems Excited by Periodic
Forces", International Journal of Non-Linear Mechanics, 29, pp.
737-753, 1994.
- Roy, R. V. and Nauman, E., "Noise Induced Effects on a Nonlinear
Oscillator", Journal of Sound and Vibration, 183,
pp. 269-295, 1995.
- Roy, R. V., "Probabilistic Analysis of a Nonlinear Pendulum", Acta
Mechanica, 115, pp. 87-101, 1996.
- Roy, R. V., "Noise-induced transitions in weakly nonlinear oscillators
near resonance," Journal of Applied Mechanics, 62 , pp. 496-504,
1995.
- Roy, R. V., "Asymptotic analysis of first-passage problems,"
International Journal of Non-Linear Mechanics,
32, pp. 173-186, 1997.
- Roy, R.V., and S. Grilli,
``Probabilistic analysis of flow in random porous media by
stochastic boundary elements'',
Engineering Analysis with Boundary Elements, 19, 1997.
- Roy, R.V., and L.W. Schwartz ``On the stability of liquid ridges'',
Journal of Fluid Mechanics,391, pp. 293-318, 1999.
- Schwartz, L.W., and R.V. Roy,
``Modeling draining flow in mobile and immobile soap films'',
Journal of Colloid & Interfacial Science, 218, pp. 309-323, 1999.
- Evans, P.L., L.W. Schwartz, and R.V. Roy,
``A mathematical model for crater defect formation in a drying paint layer'',
Journal of Colloid & Interfacial Science, 227,
pp. 191-205, 2000.
- Eres, M.H., L.W. Schwartz, and R.V. Roy,
``Fingering phenomena for driven coating films'',
Physics of Fluids, 12, pp. 1278-1295, 2000.
- Schwartz, L.W., R.V. Roy, R.R. Eley, and S. Petrash,
``De-wetting patterns in a drying liquid film'',
Journal of Colloid & Interfacial Science,
234, pp. 363-374, 2001.
- Schwartz, L.W., and R.V. Roy,
``Some results concerning the potential energy of interfaces
with nonuniformly distributed surfactant'',
Physics of Fluids, 13, pp. 3089-3092, 2001.
- Roy R.V., A.J. Roberts, and M.E. Simpson,
``A lubrication model of coating flows over a curved substrate in space'',
Journal of Fluid Mechanics, 454, pp. 235-261, 2002.
- Schwartz, L.W., and R.V. Roy,
``A Mathematical Model for an Expanding Foam'',
to appear in Journal of Colloid & Interfacial Science,
- Roy, R.V. and L.W. Schwartz,
``Influence of gravity on the stability of capillary liquid ridges'',
Journal of Fluid Mechanics, in review.
- Roy, R.V., ``Effective Reynolds equation for laminar lubricating films
between rough surfaces'', Journal of Engineering Mathematics, in review.
- Roy, R.V. and D.J. Yang, ``Weak-noise perturbations of limit-cycles'',
Journal of Sound & Vibration, in review.
- Roy, R.V., ``Noise-Induced limit cycles of a system near infinite-period
bifurcation'',
Uncertainties in Engineering Mechanics, in review.
Book Chapters
- Roy, R. V., "Noise Perturbation of Nonlinear Dynamical Systems," Chapter 6,
in Computational Stochastic Mechanics, (A. H.-D. Cheng, and C. Y. Yang,
Eds.), pp. 125-148, Computational Mechanics Publications, Southampton, UK,
Elsevier, (1993).
- Roy, R. V., "Global Stability Analysis of Nonlinear Dynamical Systems", in
Stability, Vibrations, and Control of Structures,
(A. Guran and D. Inman, Eds), Elsevier, 1994.
- Schwartz L.W. & R. V. Roy,
``A mathematical model for soap film draining'',
pp. 174 - 180 in Foams, Emulsions and Their Applications,
(P. Zitha, J. Banhart & G. Verbist, Eds.), Verlag MIT, 2000.
Refereed Conference Papers
- Roy, R. V., and Spanos, P. D., "Padé-Type Approach to Nonlinear
Random Vibration Analysis'', Stochastic Structural Dynamics: New
Theoretical Developments, (Y.K. Lin, and Elishakoff, I., Eds.), pp.
155-172, Springer Verlag, (1991).
- Yang, C. Y., Cheng, A. H.-D., and Roy, R. V.,
``Chaotic and Stochastic Dynamics for Inelastic Systems
with Hysteresis and Degradation'',
Stochastic Structural Dynamics: New Theoretical Developments
(Y.K. Lin, and Elishakoff, I., Eds.), pp. 267-284, Springer Verlag, (1991).
- Roy, R. V., and Nauman, E.,
``Analog Electronic Simulations of
a Nonlinear System'', in Proceedings of the 9th Engineering
Mechanics Conference (ASCE), Texas A & M University,
May 25-27, 1992, ASCE Press, (1992).
- Roy, R. V., and Spanos, P. D.,
``Analytical Methods for the
Determination of Correlations and Spectra of Nonlinear System
Response'', in Proceedings of the ASCE Specialty Conference
on Probabilistic Mechanics and Structural and Geotechnical
Reliability, Denver, July 8-10, 1992, ASCE Press, (1992).
- Roy, R. V., ``Noise Perturbations of a Nonlinear System with
Multiple Steady States'', in Structural Safety and
Reliability, (G. I. Schueller, M. Shinozuka, J.T.P. Yao,
Eds.), Vol. 1, pp. 243-246, Balkema, Rotterdam,
Netherlands, (1994).
- Roy, R. V., ``A Dynamic Analysis of Stacked Rocking Blocks'',
with M. R. Sivack and R. H. Allen,
Proceedings of the 1995 ASCE Structures Congress
ASCE Press, 1995.
- ``One- and Two-Dimensional Probabilistic Analysis of Flow in
Random Porous Media by Stochastic Boundary Elements'',
with L.W. Schwartz, A.H-D. Cheng, S. Grilli, and R. Ghanem,
Proceedings of the International Conference
for Boundary Elements Methods' 95 Conference (Hawaii,
July 30-August 3, 1995).
- ``Effect of Local Variations of Preform Permeability on
the Average Permeability during Resin Transfer Molding of
Composites'', with Y. De Parseval and S. G. Advani, Antec'95,
SPE, Boston, 7-11 May, 1994.
- ``Large Deviations Theory, Weak-Noise Asymptotics and First-Passage
Problems: Review and Results'', proceedings of the 7th
International Conference on Applications of Statistics and
Probability, Paris, France, July 10-13, 1995.
- ``Morphomological stability and nonlinear evolution of capillary ridges'',
R.V. Roy & L.W. Schwartz,
in Advances in Coating and Drying of Thin Films,
(F. Durst & H. Raszillier, Eds),
pp. 131- 136, Shaker Verlag, Aachen, Germany, 1999.
- ``Modeling thin layer flows with strong surface tension gradient effect'',
L.W. Schwartz & R.V. Roy,
in Advances in Coating and Drying of Thin Films,
(F. Durst & H. Raszillier, Eds),
145-150, Shaker Verlag, Aachen, Germany, 1999.
- ``Frontal Instabilities and Fingering for Driven Coating Films'',
L.W. Schwartz & R.V. Roy, in
ISCST 2000, 10th International Coating Science and Technology Symposium,
pp. 196-199, 2000.
- ``A Mathematical Model for Crater Defect Formation of a Drying Liquid
Film Coating,'' P. L. Evans, L. W. Schwartz, R. V. Roy,
ISCST 2000,
10th International Coating Science and Technology Symposium,
pp. 5 - 8, 2000.
Research Reports
Roy, R. V., "Les Courants dans le Golfe de Guinée:
Etude de Synthese", Mémoire de
Fin d' Etudes à l'Ecole
Centrale des Arts et Manufactures, Publications de la
Société Nationale Elf Aquitaine, Paris,
France, (1984).
Roy, R. V., "Padé-Type Solutions to Nonlinear
Stochastic Dynamics", Ph.D. Thesis, Rice University.
Nauman, E., and Roy, R. V., ``Analog Electronic Simulation
of Nonlinear Physical Systems'', Technical Report No. 305,
University of Delaware, Department of Mechanical Engineering,
(1993).
Roy, R. V., ``Stochastic Dynamic Analysis of Vibro-Impact Systems'',
Final Report, Engineering Foundation/AFOSR, and Technical
Report No. 306, University of Delaware,
Department of Mechanical Engineering (1993).
INVITED SEMINARS & CONFERENCE PRESENTATIONS
- ``Wiener-Hermite Functional Representation of Nonlinear Stochastic
Dynamics'', with P. D. Spanos, International Symposium on
Methods of Stochastic Mechanics and Applications, Urbana,
IL, October 31-November 1, 1988.
- ``Padé-Type Solutions to Nonlinear Stochastic Dynamics'',
Department of Mechanical Engineering, University of Delaware,
April 9, 1989.
- ``Markov Approach in Nonlinear Random Vibration'',
Mechanics, Structures & Geotechnical Engineering Seminar,
Department of Civil Engineering, University of Delaware, November 13,
1989.
- ``Padé-Type Solutions: A Novel Method of Analysis of Nonlinear
Random Vibrations'', with P. D. Spanos, Second International
Conference on Stochastic Structural Dynamics, Boca Raton, FL,
May 9-11, 1990.
- ``Electronic Circuit Simulations of a Nonlinear Oscillator'',
invited seminar, Chaos Seminar Series, University of Delaware,
November 2, 1990.
- ``Analog Electronic Simulations of a Nonlinear System'', with E. Nauman,
9th Engineering Mechanics Conference (ASCE)} Texas A & M
University, College Station, May 25-27, 1992.
- ``Analytical Methods for the Determination of Correlations and Spectra
of Nonlinear System Response'', with P. D. Spanos,
ASCE Specialty Conference on Probabilistic Mechanics and
Structural and Geotechnical Reliability,
(Session co-chair), Denver, July 8-10, 1992.
- ``A Overview of Nonlinear Dynamics'', Laird Fellows Reunion Invited
Seminar, University of Delaware, November 6, 1992.
- ``Global Stability Analysis of Non-Linear Dynamic Systems'',
Invited Seminar, Department of
Ocean Engineering, University of Rhode Island, March 5, 1993.
- ``Global Stability Analysis of Non-Linear Dynamic Systems'',
MEET'N'93 Joint ASCE-ASME-SES Meeting, June 6-9, 1993,
University of Virginia, Charlottesville, Virginia.
- ``Power Spectral Densities of Nonlinear System Response: The
Recursion Method'', with P. D. Spanos, MEET'N'93 Joint
ASCE-ASME-SES Meeting, June 6-9, 1993, University of Virginia,
Charlottesville, Virginia.
- ``Noise Perturbations of Nonlinear Systems with Multiple
Steady States'', 6th International Conference on Structural
Safety and Reliability, August 9-13, 1993, Innsbruck, Austria.
- ``First-Passage Problems in Nonlinear Vibrations'', invited seminar,
Department of Mechanical Engineering,
Catholic University of America, November 17, 1993.
- ``First-Passage Problems in Engineering, Natural Sciences and
Mathematics'', invited Seminar, Applied Mathematics Seminar Series,
Department of Mathematics, University of Delaware, February 17, 1994.
- ``Probabilistic Response of a Class of Nonlinear Oscillators to
Narrow-Band Excitations'', with D. Challam, 12th U.S. National
Congress of Applied Mechanics, June 26-July 1, 1994, Seattle,
Washington.
- ``First-Passage Probabilities of Nonlinear Systems by Singular
Perturbations'', 12th U.S. National Congress of Applied Mechanics, June 1994,
Seattle, Washington.
- ``A Dynamic Analysis of Stacked Rocking Blocks'', with M. R. Sivack
and R. H. Allen, 1995 ASCE Structures Congress, Boston, MA,
April 3-5, 1995.
- ``One- and Two-Dimensional Probabilistic Analysis of Flow in
Random Porous Media by Stochastic Boundary Elements",
with L.W. Schwartz, A.H-D. Cheng, S. Grilli, and R. Ghanem,
International Conference for
Boundary Elements Methods 95 Conference, Hawaii, July- August,
1995.
- ``First-Passage Problems of Nonlinear Systems by Singular
Perturbations'', Invited Seminar, Department of
Mathematics, University of Queensland, Australia, April 1996.
- ``First-Passage Problems of Nonlinear Systems by Singular
Perturbations'', Invited Seminar, Department of
Mathematics, University of Sydney, Australia, May 1996.
- ``Coating Flows: A review'', Invited Seminar, Department of
Mathematics, University of University of Southern
Queensland, Australia, July 1996.
- ``Coating Flows Over Curved Surfaces'', Third European
Coating Symposium, Strasbourg, France, July '97.
- ``Mechanics of Coating Flows'', Invited Seminar, Civil Engineering
Department, Johns Hopkins University, November '97.
- ``Mathematical Modeling and Numerical Simulation of Coating Flows
over Curved Surfaces''
APS Fluid Mechanics Meeting, San Francisco, November '97.
- ``Modeling and Simulation of
Coating Flow and other Capillary Mechanics Phenomena'',
with L.W. Schwartz,
1st ICI North American Science and Technology Conference,
Cleveland, April '98.
- ``Numerical simulation of coating flow on a horizontal rotating cylinder'',
with P. Evans & L.W. Schwartz,
9th International Coating Science and Technology Symposium, Newark DE,
May 1998.
- ``Coating flows on curved surfaces'' with
L.W. Schwartz,
9th International Coating Science and Technology Symposium}, Newark DE,
May 1998.
- ``Morphomological stability and nonlinear evolution of capillary ridges'',
with L.W. Schwartz,
Third European Coating Symposium, Erlangen-Nurnberg,
Germany, September, 1999
- ``Modeling thin layer flows with strong surface
tension gradient effect'', with L.W. Schwartz,
Third European Coating Symposium, Erlangen-Nurnberg,
Germany, September, 1999
- ``Modeling draining flow in mobile and immobile soap films,''
with L.W. Schwartz, EuroFoam 2000, EuroConference on Foams,
Emulsions and Applications, Delft University of Technology
Delft, the Netherlands, June 2000.
- ``Frontal Instabilities and Fingering for Driven Coating Films,'' with
L. W. Schwartz & M. H. Eres,
American Physical Society Division of Fluid Dynamics Annual Meeting,
Washington, November 2000.
- ``A Mathematical Model for Crater Defect Formation of a Drying Liquid
Film Coating,'' with P.L. Evans & L. W. Schwartz,
10th International Coating Science and Technology Symposium,
Scottsdale, Arizona, 25 September 2000.
- ``Frontal Instabilities and Fingering for Driven Coating Films,''
with L. W. Schwartz & M. H. Eres,
10th International Coating Science and Technology Symposium,
Scottsdale, Arizona, September, 2000.
- ``Understanding the Physico-Chemical Requirements for
High-Speed Coating,''
R. V. Roy, L. W. Schwartz, J. Pluyter & T. J. Huang,
ICI Materials Workshop, St. Catherine's
College, Oxford, UK, September, 2001.
- ``Mathematical and Numerical Modeling of Spin Coating,''
with L.W. Schwartz,
European Coating Symposium, Free University of Brussels, Brussels,
October, 2001.
- ``Mathematical and Numerical Modeling of Spin Coating,''
with L.W. Schwartz
American Physical Society Division of Fluid Dynamics, San Diego, CA
November, 2001.
COURSES TAUGHT
- Engineering Mechanics II: Dynamics.
(MEEG 214, Sophomore Level, S'90, S'91, S'92, S'93, S'94, S'95)
- Dynamics. (MEEG 211, Sophomore Level, F'00)
- Design: Kinematics & Dynamics of Mechanism & Machinery.
(MEEG 301, Junior Level, F'99)
- Nonlinear Dynamics & Chaos. (MEEG 623 & MEEG 867,
Graduate: S'94, S'95, S'97, S'98, S'99, S'00, S'01, S'02)
- Random Vibration. (MEEG 626, Graduate Level: S'92)
- Advanced Dynamics.
(MEEG 821, Graduate Level, F'89, F'90, F'91, F'92, F'93, F'94, F'95, F'96)
- Vibration Analysis. (MEEG 823, Graduate Level, S'91, S'92)
- Intermediate Dynamics. (MEEG 620, Graduate Level,
S'97, S'98, S'99, S'00, S'01, S'02)
- Mechanics of Heterogeneous Media. (MEEG 867, Experimental Course,
Graduate Level, S'97)
- The Fluid Mechanics of Coating. (MEEG 867, Experimental Course, co-taught
with Prof. Schwartz, S'98).
- Advanced Topics in Dynamics. (MEEG 867, Experimental Course,
Graduate Level, F'01).
RESEARCH SUPERVISION
- Michael Scavnicki, 1989-1992: Undergraduate Research.
- Eric Nauman, 1991- 1996: Undergraduate Research, Honors degree with
thesis, Senior of the Year.
- Mike Sivack, 1990-1993: Master of Science (Co-advisor: Dr. Allen).
- Deepak Challam, 1991-1994: Master of Science.
- Richard McCracken, 1991-1996: Ph.D. thesis: Path Planning of Robotic
Systems.
- Da-Jie Yang, 1991-1997: Ph.D, thesis:
Analysis of Weak Noise Perturbations on Nonlinear Dynamical Systems.
- Oleg Vainberg, 1993-1995: M.S. Candidate. (Co-advisor L.W. Schwartz)
- Dr. Eliezer Edelstein, S'94-S'95: Visiting Research Scholar
on leave from Raphael, Israel.
- Christophe Deguerre, CNS Exchange Student from France, 1999.
- Dr. Alejandro Spina, Post-Doc, F'98-S'99.
- Peter Evans, Spring 1995-2000: Ph.D. (co-advisor: L.W. Schwartz)
thesis: Thin Film Fluid Mechanics
- Silviu Livescu, 2000-2002: Ph.D. candidate (co-advisor: L.W. Schwartz).
Research topic: Thin Film Fluid Mechanics.
- Joseph Feser, 2001-2002: undergraduate research.
topic: Chaotic Tumbling of a Rigid Sphere.
- Dirk Veneema, 2001-2002: undergraduate research.
topic: An interactive software for the design of four-bar linkages.
Research Funding
- Stochastic Dynamic Analysis of Vibro-Impact Systems,
Engineering Foundation/AFOSR, $25,000, 9-92 to 6-92.
- Expected the Unexpected:Reliability Estimates of Randomly Excited
Systems, UDRF, $20,000, 9-94 to 5-95.
- First-Passage Reliability of Randomly Excited Nonlinear Systems,
NSF, $75,000, 9-94 to 8-98.
- Glidden/ICI & State of Delaware, $197,000, 6-1-96 to 6-30-98 (CoP.I.,
P.I.: L.W. Schwartz).
- Glidden/ICI & State of Delaware, $168,000, 6-1-97 to 6-30-99
(CoP.I., P.I.: L.W. Schwartz)
- National Starch & Chemicals, $177,000, 6-99 to 6-03 (CoP.I., P.I.:
L.W. Schwartz)