**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

- Address
- Degrees
- Career history
- Honors
- Books and monographs
- Mathematical papers in refereed journals
- Conference organization
- Graduate student supervision
- Contributions to the profession
- Miscellaneous publications

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, *SIAM**
J. Matrix Anal. Appl.* **20** (1999) 563-574. **PDF**

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, *ZAMP***45**(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, *J.
Sound Vibration* **150** (1991) 317-321.

Murra, *J. Sound Vibration ***149 **(1991)
330-340.

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., *J. Sound Vibration 119*(1987)
81-94.

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

For more papers click here

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., **I.**** Murra**,
*Shape Optimisation for Dynamic Behaviour of Axisymmetric
Bodies Applied to the Design of Bells.*

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, **PDF**

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.