Dr. Graham M.L. Gladwell
Distinguished Professor Emeritus
Department of Civil Engineering
E-mail: ggladwel@uwaterloo.ca OR graham@gladwell.com
Tel: (519) 888-4567 ext. 2172
Fax: (519) 888-6197
Office: CPH-2369B
Department of Civil Engineering
1969 D.Sc. for published work on the
Mathematical Theory of Vibration,
1957 Ph.D.
in Mathematics,
1954 B.Sc.
(Special) Mathematics,
1969-1999 Professor of Civil
Engineering,
1979-1999 Cross-Appointment
as Professor of Applied Mathematics, University of
1979-1996 Chair, Solid Mechanics
Division,
1965-1969 Senior Lecturer in Vibration
Theory, Institute of Sound and Vibration Research,
1963-1964 Lecturer
in Vibration Theory, Institute of Sound and Vibration Research.
1962-1963 Lecturer
in Vibration Theory, Department of Aeronautics and Astronautics,
1962 Lecturer in Mechanical Engineering, Massachusetts
Institute of Technology.
1960-1962 Lecturer
in Mathematics, University of the
1959-1960 Lecturer
in Mathematics,
1956-1959 Assistant
Lecturer in Mathematics,
PROFESSIONAL AFFILIATIONS:
Society for Industrial and Applied Mathematics
Canadian Applied Mathematics Society.
Fellow of the Royal Society of Canada 1999
CANCAM medal awarded by the Canadian Congress of Applied Mechanics for
lifetime research (1991).
Fellow of the
Fellow of the
(a) Books
1. Lebedev, L.P., Vorovich, I.I., and Gladwell, G.M.L., Functional Analysis: Applications in Mechanics and Inverse Problems, Kluwer Academic Publishers, 1996.
2. Gladwell, G.M.L., Inverse Problems in Scattering - An Introduction, 361 pp., Kluwer Academic Publishers, 1993.
3. Gladwell, G.M.L., Inverse Problems in Vibration, 400 pp., Martinus Noordhoff , 1986. Chinese Edition published 1992.
4. Gladwell, G.M.L., Contact Problems in the Classical Theory of Elasticity, 717 pp., Sijthoff and Noordhoff , 1980. Chinese Edition published 1991.
5. Bishop, R.E.D., Gladwell, G.M.L., and Michaelson, S., The
Matrix Analysis of Vibration, 404 pp.,
(b) Edited
1. Gladwell, G.M.L., Ghonem,
H. and Kalousek, J., Editors, Contact Mechanics
and Wear of Rail/Wheel Systems II, 461 pp.,
2. Kalousek, J., Dukkipati,
R.V., and Gladwell, G.M.L., Editors, Contact
Mechanics and Wear of Rail/Wheel Systems, 600 pp.,
3. Gladwell, G.M.L., Editor, Computer Aided
Engineering, 614 pp.,
4. Gladwell, G.M.L., Editor, Vibrating Systems
with a Limited Power Supply, 236 pp.,
RECENT MATHEMATICAL PAPERS IN REFEREED JOURNALS
Gladwell, G.M.L., Inner totally positive matrices, Linear Algebra Appl., 393 (2004) 179-195. PDF
Gladwell, G.M.L. and Ghanbari, K., The total positivity interval, Linear Algebra Appl. 393 (2004) 197-202. PDF
Gladwell, G.M.L. and Zhu, H.M., The Courant-Herrmann Conjecture, ZAMM. Math. Mech., 83 (2003) 275-281. PDF
Gladwell, G.M.L., Isospectral vibrating beams, Proc. Roy. Soc. London, Series A, 458 (2002) 2691-2703. PDF
Gladwell, G.M.L., Total positivity and Toda flow, Linear algebra Appl., 350 (2002) 279-284. PDF
Gladwell, G.M.L. and Zhu, H.M., Courant’s nodal line theorem and its discrete counterparts, Quart. J. Mech. Appl. Math., 55 (2002) 1-15. PDF
Davies, E.B., Gladwell, G.M.L., Leydold, J. and Stadler, P.F., Discrete nodal domain theorems, Linear. Algebra Appl., 336 (2001) 51-60. PDF
Foltete, E., Gladwell, G.M.L. and Lallement, G., On the reconstruction of a damped vibrating system from two complex spectra, part 2: experiment, J. Sound Vibration 240 (2001) 219-240. PDF
Gladwell, G.M.L., On the reconstruction of a damped vibrating system from two complex spectra, part 1: theory, J. Sound Vibration 240 (2001) 203-217. PDF
Gladwell, G.M.L., On inclusions at a bi-material elastic interface, J. Elasticity 54 (1999) 27-41. PS
Gladwell, G.M.L., Inverse finite element vibration problems, J. Sound Vibration 211 (1999) 309-324. PDF
Samani, A.M.V. and Gladwell, G.M.L., Travel time inversion for the determination of stress fields in granular media, Inverse Problems in Engineering 7 (1999) 505-518.
Gladwell, G.M.L. and Morassi, A., Estimating damage in a rod from changes in node position, Inverse Problems in Engineering 7 (1999) 215- 233. PDF (available soon)
Elhay, S., Gladwell,
G.M.L., Golub, G.H. and Ram, Y., On
some eigenvector-eigenvalue relations,
Gladwell, G.M.L., Total positivity and the QR algorithm, Linear Algebra and Applications 271 (1998) 257-272. PDF
Lebedev, L.P. and Gladwell, G.M.L., On spatial effects of modeling in linear viscoelasticity, J. Elasticity 47 (1997) 241-250.
Ahmadian, H., Gladwell, G.M.L. and Ismail, F., Parameter selection strate-gies in finite element model updating, ASME Journal of Vibration and Acoustics 119 (1997) 37-45.
Gladwell, G.M.L., Inverse vibration problems for finite element models, Inverse Problems 13 (1997) 311-322. PDF
Gladwell, G.M.L., Inverse problems in vibration: II, Applied Mechanics Reviews 49 (1996) 525-534. PDF (available soon)
Chamberland, M. and Gladwell, G.M.L., A characterization of the disc by sets of uniqueness in tomography, ZAMP 46 (1995) 807-811.
Willms, N.B., Chamberland, M. and Gladwell, G.M.L., A duality theorem in an overdetermined eigenvalue problem, ZAMP 46 (1995) 623-629.
Gladwell, G.M.L., On isospectral spring-mass systems, Inverse Problems 11 (1995) 591-602. PDF
Gladwell, G.M.L. and Morassi, A., On isospectral rods, horns and strings, Inverse Problems 11 (1995) 533-554. PDF
Gladwell, G.M.L. and Ahmadian, H., Generic element matrices suitable for finite element model updating, Mechanical Systems and Signal Processing 9 (1995) 601-614. PDF
Gladwell, G.M.L. and Willms, N.B., On the mode shapes of the Helmholtz equation, J. Sound Vibration 188 (1995) 419-433.
Gladwell, G.M.L., On contact problems for a medium with rigid flat in-clusions of arbitrary shape, Int. J. Solids Structures 32 (1995) 383-389.
Dolovich, A., Wang, Z. and Gladwell, G.M.L., An iterative approach to curved ray reconstruction of birefringent fields, Optics and Lasers in Engineering 22 (1995) 347-372.
Movahhedy, M., Gladwell, G.M.L. and Ismail, F., Reconstruction of a mass-spring system from spectral data II: experiment, Inverse Problems in Engineering 1 (1995) 315-327.
Gladwell, G.M.L. and Movahhedy, M., Reconstruction of a mass spring system from spectral data I: theory, Inverse Problems in Engineering 1 (1995) 179-189.
Willms, N.B., Gladwell, G.M.L. and Siegel, D., Symmetry theorems for some overdetermined boundary value problems on ring domains, ZAMP45(1994) 556-579.
Gladwell, G.M.L., Updating model parameters by adding an imagined stiffness to the structure, Mechanical Systems and Signal Processing 8 (1994) 357-359.
Willms, N.B. and Gladwell, G.M.L., Saddle points and overdetermined problems for the Helmholtz equation, ZAMP 45 (1994) 1-26.
Ahmadian, H., Gladwell, G.M.L. and Ismail, F., Finite element model identification using modal data, J. Sound Vibration 172 (1994) 657-669.
Ram, Y.M. and Gladwell, G.M.L., Constructing a finite-element model of a vibratory rod from eigendata, J. Sound Vibration 169 (1994) 229-237.
Chamberland, M. and Gladwell, G.M.L., On transforming three-dimensional inverse scattering problems to one dimension, Inverse Problems 9 (1993) 241-250. PDF
Dolovich, A.T. and Gladwell, G.M.L., A generalized iterative approach to curved-ray tomography, Optics and Lasers in Engineering 17 (1992) 147-165.
Gladwell, G.M.L. and Zhu, B.R., Inverse problems for multi-dimensional vibrating systems, Proc. Roy. Soc. A. 439 (1992) 511-530.
Gladwell, G.M.L., On some singular integral equations appearing in con-tact problems for the elastic cylinder, J. Elasticity 28 (1992) 97-110.
Murra,
Murra,
Gladwell, G.M.L., On the application of Schur’s algorithm to an inverse eigenvalue problem, Inverse Problems 7 (1991) 557-565. PDF
Gladwell, G.M.L., R.E.D. Bishop: Dynamicist and communicator, J. Sound Vibration 151 (1991) 181-191.
Gladwell, G.M.L., Qualitative properties of finite element modes II: The Euler-Bernoulli beam, Quart. J. Mech. Appl. Math. 44 (1991) 267-284.
Gladwell, G.M.L., Qualitative properties of finite element models I: Sturm-Liouville systems, Quart. J. Mech. Appl. Math. 44 (1991) 249-265.
Gladwell, G.M.L., On the scattering of waves in a non-uniform Euler-Bernoulli beam, Proc.Instn.Mech.Engrs.Mech.Science, 205 (1991) 31-34.
Gladwell, G.M.L. and Fan, T.Y., Galin’s theorem for a moving punch, Acta Mechanica Sinica 23 (1991) 165-171.
Gladwell, G.M.L., Follower forces: Leipholz’s researches into generalised variational principles, Canadian Journal of Civil Engineering 17 (1990) 287-293.
Gladwell, G.M.L., Follower forces: Leipholz’s early researches in elastic stability, Canadian Journal of Civil Engineering 17 (1990) 277-286.
Dolovich, A.T. and Gladwell, G.M.L., Convergence criteria for iterative schemes in holographic interferometry, Applied Optics 28 (1989) 4411- 4418.
Gladwell, G.M.L., Willms, N.B., Wang, D., and He, B.C., How can we recognise an acceptable mode of a beam?, Quart. J. Mech. Appl. Math. 42 (1989) 303-316.
Gladwell, G.M.L. and Lemczyk, T.F., Thermal constriction resistance of a contact on a circular cylinder with mixed convective boundaries, Proc. Roy. Soc. A. 420 (1988) 323-354.
Gladwell, G.M.L. and Willms, N.B., A discrete Gel’fand-Levitan method for band-matrix inverse eigenvalue problems, Inverse Problems 5 (1989) 165-179.
Gladwell, G.M.L. and Willms, N.B., The reconstruction of a tri-diagonal system from its frequency response at an interior point, Inverse Problems 4 (1988) 1013-1024.
Gladwell, G.M.L., Dods, S.R.A. and Chaudhuri, S.K., Non-uniform transmission-line synthesis using inverse eigenvalue analysis, I.E.E.E. Transactions on Circuits and Systems 35 (1988) 659-666.
Gladwell, G.M.L.,
Gladwell, G.M.L. and Dods, S.R.A., Examples of reconstruction of vibrat-ing rods from spectral data, J. Sound Vibration 119 (1987) 267-276.
Gladwell, G.M.L., Inverse problems in vibration, Applied Mechanics Re-views 39 (1986) 1013-1018.
Shibuya, T., Koizumi, T., Kawamura, N., and Gladwell, G.M.L., The contact problem between an elliptical punch and an elastic half-space with friction, Trans. J. S. M. E. A. 52 (1986) 2630-2639.
Shibuya, T., Koizumi, T., and Gladwell, G.M.L., An elastic half space loaded in the elliptical area on the surface (Extension of the Abel trans-form), Trans. J. S. M. E. A. 52 (1986) 1539-1546.
Gladwell, G.M.L., The inverse problem for the Euler-Bernoulli beam, Proc. Roy. Soc. A. 407 (1986) 199-218. PDF
Gladwell, G.M.L., The inverse mode problem for lumped-mass systems, Quart. J. Mech. Appl. Math. 39 (1986) 297-307.
Gladwell, G.M.L., Qualitative properties of vibrating systems. Proc. Roy. Soc. A. 401 (1985) 299-315. PDF
Gladwell, G.M.L. and Gbadeyan, J.A., On the inverse problem for the vibrating string or rod,Quart. J. Mech. Appl. Math. 38 (1985) 169-174.
Sharan, S.K. and Gladwell, G.M.L., A general method for the dynamic analysis of fluid-structure systems, Computers & Structures 21 (1985) 937-944.
Gladwell, G.M.L., The inverse problem for the vibrating beam, Proc. Roy. Soc. A. 393 (1984) 277-295. PDF
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Member of the Scientific Advisory Committee of the 3rd conference on
Identification to be held in
Member of the Congress Committee of the International
Nov. 2001-Oct 2002 Kazem Ghanbari, Post Doctoral Fellow
1999 Ph.D., H.M. Zhu, Courant's Nodal Line and its Discrete Counterparts
1997 Ph.D., A. Mohammad Vali Samani, Travel-Time Tomography for Stress
Reconstruction in
Granular Soil Media.
1997 Ph.D., N.C. Corbett, Application of Orthonormal Bases of Wavelets to Deconvolution.
1996 M.Math., H.M. Zhu, A Study of Various Inverse Eigenvalue Problems.
1994 Ph.D., M. Chamberland, The Pompeiu Problem and Schiffer's Conjecture.
1994 M.A.Sc., M.R. Movahhedy, Identi cation of System Parameters from Experimental Data.
1994 Ph.D., H. Ahmadian, Finite Element Model Updating Using Model Testing Data.
1993 M.A.Sc., X. Lu Inverse Problems in the Vibration of a Two-Dimentional Structure.
1992 Ph.D., N.B. Willms, Saddle Points and Overdetermined Problems for the Helmholtz Equation.
1990 Ph.D., A. Dolovich, Some New Perspectives in Photoelasticity and Curved-Ray Tomography.
1990 Ph.D.,
1988 M.Math, B. Chun, On the Additive Inverse Eigenvalue Problem.
1987 M.Math, B. Willms, Some Inverse Eigenvalue Problems.
1986 M.Math, S.R.A. Dods, Inverse Eigenvalue Analysis and Transmission Line Filter Sythesis.
1985 M.Phil., P. Gogolek, Representation Theory of Finite Groups Applied in Linear Vibration Theory.
1984 M.A.Sc., H.K. Sethi, Dynamic Analysis of Tension Leg Platforms.
1983 Ph.D., J. Gbadeyan, Inverse Problems for the Vibrating Rod and Beam.
1983 M.A.Sc., N.W. Lee, Numerical Approaches to some Contact Problems.
1978 Ph.D. S.K. Sharan, Earthquake Response of Dam-Reservoir-Foundation Systems.
1974 Ph.D., V.K. Vijay, Free Vibrations of Solids of Revolution with Applications.
1973 Ph.D., K.R.P. Iyer, Unbonded Contact of a Circular Plate on an Elastic Half-Space.
1972 Ph.D., O. Svec, A Finite Element Approach to a Problem of a Plate on an Elastic Half-Space, co-supervised with G.M. McNeice.
1972 M.A.Sc., D.K. Vijay, Some Inverse Problems in Mechanics.
1971 M.A.Sc., P.C. Mainali, Design of Resonators with Speci ed Reactances.
1970 M.A.Sc., F.A.A. Adubi, Contact Problems for the Elastic Quarter Plane.
1968 Ph.D., C. Stammers, On the Stability of Some Vibrating Systems Governed by Linear Equa- tions with Periodic Coefficients.
1968 Ph.D., V. Mason, The E fect of Acoustic Radiation on the Vibration Response of Plane Structures.
1967 M.Sc., N. Popplewell, The Vibration of Mechanical Resonators.
1963-1964 M.Sc., The Vibration of Frame Buildings.
1962-1963 M.Sc., Body Boom Vibrations in Cars.
CONTRIBUTIONS TO THE PROFESSION
EDITORSHIPS:
1992- Joint Editor in Chief, Inverse Problems in Engineering.
1990- Series Editor, Solid Mechanics and its Applications, Kluwer Academic Publishers. This series now includes the
Proceedings of the International Union of Theoretical and Applied Mechanics
(IUTAM) Symposia in Solid Mechanics.
http://www.wkap.nl/prod/s/SMIA
ASSOCIATE EDITORSHIPS (Current):
2001- International Applied Mecanics
1996- International Journal of Solids and Structures
1994- International Journal for Engineering Analysis and Design
1971- Journal of Sound and Vibration
1971- Journal of Elasticity
Isospectral Systems, in Proceeding of the 3rd Conference on
Identification in Engineering Systems,
Seminal Ideas in Integral Methods, in P. Schiavone, C. Constanda, A. Mioduchowski, (Eds), Integral Methods in Science and Engineering, Birkhouse, Boston, 2002, pp. 87-97. PDF
Ahmadian, H., Ismail, F. and Gladwell, G.M.L., Acceptable element matrices for finite element model updating, in H.D. Bui, M. Tanaka et al, Editors, Inverse Problems in Engineering Mechanics, A.A. Bolkema, Rotterdam 1994, pp. 209-214.
Gladwell, G.M.L., A sequence of inverse eigenproblems, in S. Kubo, Editor, Inverse Problems, Atlanta Technology Publications, Atlanta, Georgia 1993 pp. 162-172.
Gladwell, G.M.L., Qualitative properties of finite element models III: Spline models, in D.T. Lwin and F.W. Travis, Editors, Mechanics of Solids and Structures, World Scienti c, Singa- pore 1991, pp. 44-58.
Gladwell, G.M.L. and Lemczyk, T.F., The static Reissner-Sagoci problem for a finite cylinder: another variation of a theme of I.N. Sneddon, in G. Eason and R.W. Ogden, Editors, Elasticity, Mathematical Methods and Applications, Ellis Horwood, Chichester, 1990, pp. 113-123.
Gladwell, G.M.L., Conditions on the data in
inverse problems in vibration, in P. Sabatier,
Editor, Inverse Methods in Action, Springer Verlag,
Gladwell, G.M.L., The inverse problem for the
Euler-Bennoulli beam problem, in F. Santosa, Y.-H. Pao, W. Symes and C. Holland, Editors, Inverse Problems of Acoustic
and Elastic Waves,
Gladwell, G.M.L., Modern classical contact stress analysis, in J. Kalousek, R.V. Dukkipati and G.M.L. Gladwell, Editors, Contact Mechanics and Wear of Rail/Wheel Systems, University of Waterloo Press, 1983, pp. 11-19.
Gladwell, G.M.L., Analytical methods for contact problems, in H.S. Cheng, L.M. Keer, Editors, Solid Contact and Lubrication, ASME New York, 1980, pp. 13-26.
Hollands, K.G.T., Gladwell, G.M.L. and Schneider, G.E., Conductive heat transfer from hemispherical, buried tanks with application to solar heating, Proceedings of the 6th International Heat Transfer Conference 4 (1978) 161-166.
Gladwell, G.M.L., Chebyshev polynomials, Cauchy kernels and elliptic integrals, Sen Memorial Volume, 1978.
Gladwell, G.M.L. and England, A.H., Contact problems for the spherical shell, Proceedings of the 12th Annual Meeting of the Society for Engineering Science, University of Texas at Austin (1975) 869-878.
Gladwell, G.M.L., Unbounded contact between a circular plate and an elastic foundation, IUTAM Symposium on the Mechanics of the Contact between Deformable Bodies, Delft University Press, 1975 pp. 99-109.
Gladwell, G.M.L. Dual variational principles for elastic structural analysis, in Variational Methods in Engineering, Southampton University Press, Southampton, U.K. 1973, Volume 1, pp. 3/25-3/32.
Gladwell, G.M.L., Orthogonal polynomials related to triangles, in G.M.L. Gladwell, Editor, Computer Aided Engineering, University of Waterloo Press, 1970, pp. 207-214.
Gladwell, G.M.L. and Mansour, W.M., Simulation of vibratory feeders, in G.M.L. Gladwell, Editor, Computer Aided Engineering, University of Waterloo Press, 1970, pp. 215-250.
Gladwell, G.M.L., A nite element method for
acoustics, Proceedings of the Fifth International Congress of Acoustics,
Gladwell, G.M.L., The approximation of uniform beams in transverse vibration by sets of masses elastically connected, Proceedings of the Fourth U.S. Congress of Applied Mechanics, Pergamon Press, 1962, pp. 169-176.
Gladwell, G.M.L., Integral, Lebesgue; Integral, Riemann; Invariants; Mathematical Methods for Vibration Problems, Encyclopaedic Dictionary of Physics, Pergamon Press, 1962, pp. 1034-1039, 1055-1063.
Bishop, R.E.D. and Gladwell,
G.M.L., An investigation into the theory of resonance testing, Aeronautical
Research Council Report, A.R.C. 22,381.0.1596, 1960, pp. 1-59.