Table Of ContentACTA MECHANICA 3
SUPPLEMENTUM
D. E. BESKOS AND F. ZIEGLER (EDS.)
Advances in Dynatnic
Systetns and Stability
Festschrift for Bruno A. Boley
SPRINGER-VERLAG WIEN GMBH
Prof D. E. Beskos
Department of Civil Engineering, School of Engineering, U niversity of Patt·as,
Patras, Greece
Prof F. Ziegler
Institut fur Allgemeine Mechanik, Tcchnische Univcrsităt Wicn,
Wien, Austria
ISBN 978-3-211-82368-2 ISBN 978-3-7091-9223-8 (eBook)
DOI 10.1007/978-3-7091-9223-8
This work is subject to copyright.
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© 1992 by Springer-Verlag Wien
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With 92 Figures
Preface
On December 2-5, 1991, a Symposium on Thermal Stresses, Dynamics and Stability honoring
Professor Bruno A. Boley on the occasion of his 65th birthday was held in Atlanta, Georgia
during the Winter Annual Meeting of the American Society of Mechanical Engineers. The
papers presented during the Symposium by some of Professor Boley's former students and
colleagues cover those areas of applied mechanics where most of his contributions have been
made over the years. These papers have been written in tribute to Professor Boley's distinguished
scientific career and out of genuine affection and respect for him.
The present volume consists of those Symposium papers that belong to the areas of
Dynamics and Stability and constitute recent advances in the field. A special issue of the Journal
of Thermal Stresses has been reserved for publication of the Symposium papers on Thermal
Stresses, under the editorship of Professor R. B. Hetnarski. The present volume begins with
a biographical sketch and bibliography of Professor Boley, along with a list of his doctoral
students.
Thirteen papers on dynamics and stability follow. The first four papers deal with wave
propagation and vibration studies in solids and structures. The next two papers study wave
propagation in fluids, while the seventh paper is concerned with the dynamic response of
random media. Two papers dealing with structural vibrations exhibiting instability and one
dealing with dynamic buckling delamination are presented next. The last three papers are
concerned with instability in solids and structures.
On behalf of former students and colleagues who have had the privilege and pleasure of
working with Professor Boley over the years, we express our sincere thanks for inspiring
education and scholarship, as well as leadership in enhancing applied mechanics. We hope that
this commemorative volume will serve as a similar inspiration to a wider audience of readers of
applied mechanics.
Finally we would like to express our thanks to Professor R. B. Hetnarski, Chairman of the
Symposium Commitee, to Professors F. DiMaggio, L. B. Freund, L. M. Keer, G. Maier, R.
Rand and J. H. Weiner, members of the Symposium Committee, to all the authors of this volume
and to Springer-Verlag, Wien, for their help and cooperation.
D. Beskos
June 1992 F. Ziegler
Contents
Bruno A. Boley: Biography 1
Sayir, M. B.: Wave propagation in composite structures: experimental and theoretical
studies . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
Min, K.-W., Igusa, T., Achenbach, J. D.: Forced vibration of strongly-coupled structural
systems connected by sub-structures 23
Beskos, D. E., Vgenopoulou , 1: Dynamic analysis of column and borehole problems in
soils and rocks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35
Krishnasamy, G., Rizzo, F. J., Liu, Y.: Some advances in boundary integral methods for
wave-scattering from cracks 55
Ferrari, C.: On the propagation of small perturbations in viscous compressible fluid . . 67
Romiti, A., Raparelli, T., Bertello, E.: Wave propagation due to pneumatic surge in diabatic
circuits and systems . . . . . . . . . . . . . . . . . . . . . . . . . 83
Dasgupta, G.: Approximate dynamic responses in random media . . . . . . . . . . . . . . 99
Hosaka, H., Crandall, S. H.: Self-excited vibrations of a flexible disk rotating on an
air film above a flat surface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 115
Rand, R. H., Pak, C. H., Vakakis, A. F.: Bifurcation of nonlinear normal modes in a
class of two degree of freedom systems . . . . . . . . . . . . . . . . . . . . . . . . . . . 129
Lee, Y. J., Freund, L. B.: Dynamic buckling delamination of a bonded thin film under
residual compression . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 147
Drucker, D. C., Li, M.: Non-associated plastic deformation and genuine instability 161
Lin, T. H.: On creep buckling of structures . . . . . . . . . . . . . . . . . . . . . . 173
Bodner S. R.: A lower bound on bifurcation buckling of viscoplastic structures 181
Acta Mechanica (1992) [Suppl] 3: 1-6
tCJ Springer-Verlag 1992
Bruno A. Boley: Biography
Bruno A. Boley was born in Trieste, Italy in 1924. He received the B.S. degree in Civil
Engineering from the College of the City of New York in 1943, the Sc. D. degree in Aeronautical
Engineering from the Polytechnic Institute of Brooklyn in 1946, and an honorary Sc. D. degree
from the College of the City of New York in 1982. He served as an Assistant Professor of
Aeronautical Engineering at the Polytechnic Institute of Brooklyn from 1943 to 1948. He worked
at the Goodyear Aircraft Corporation from 1948 to 1950, returning then to academic life, first as
an Associate Professor at the Ohio State University in the Department of Aeronautical
Engineering and then, from 1952, as Professor of Civil Engineering at Columbia University.
From 1968 to 1972 he was J.P. Ripley Professor of Engineering and Chairman of the
Department of Theoretical and Applied Mechanics at Cornell University. He joined the
Technological Institute, Northwestern University, in January 1973 serving as Dean until 1986,
and then continuing as Dean Emeritus and Walter P. Murphy Professor of Engineering. Since
September 1987 he has returned to a Professorship at Columbia University. He was Visiting
Professor at the Technical University of Milan (1964- 65) and the Imperial College of Science
and Technology, University of London (1972).
B. A. Boley is a member of the National Academy of Engineering, and past president of the
American Academy of Mechanics and of the Society of Engineering Science. He has served on the
Boards of Governors of the American Society of Mechanical Engineers and Argonne National
Laboratory. He is an Honorary Member of the American Society of Mechanical Engineers, and
2 Bruno A. Boley: Biography
a Fellow of the American Academy of Mechanics, the American Institute of Aeronautics and
Astronautics, the Society of Engineering Science, and the American Association for the
Advancement of Science. He is also the founder of the Association of Chairmen of Departments
of Mechanics and past Chairman of the U.S. National Committee on Theoretical and Applied
Mechanics. He is Advisor-General of the International Association of Structural Mechanics in
Reactor Technology (IASMiRT), has served as Secretary of the International Union of
Theoretical and Applied Mechanics (IUT AM) Congress Committee. He is editor-in-chief of
"Mechanics Research Communications", a technical journal published by Pergamon Press in
cooperation with the International Center for Mechanical Sciences, and a member of the
editorial board of twelve technical and professional journals.
He has published four books and over 100 papers in the fields of structural dynamics, elastic
stability, applied mathematics, thermal stresses, heat conduction in solids, and in problems of
change of phase. One of his books "Theory of Thermal Stresses", co-authored with J. H. Weiner,
is listed in "Contemporary Classics in Engineering and Applied Science", lSI Press, Philadel
phia, 1986, p. 316. He chaired the National Academy of Engineering's Task Force on Engineering
Education in 1979-80. He has been the recipient of NSF and NATO Fellowships, the Townsend
Harris Medal of the Alumni Association ofthe City of New York, the Th. von Karman Medal of
the American Society of Civil Engineers and the Worcester Reed Warner Medal of the American
Society of Mechanical Engineers for outstanding contribution to the permanent literature of
Engineering.
List of publications of Bruno A. Boley
Books
[1] Boley, B. A., Weiner, J. H.: Theory of thermal stresses. New York: Wiley 1960.
[2] Freudenthal, A. M., Boley, B. A., Liebowitz, H. (eds.): High temperature structures and materials.
Proceedings of 3rd symposium on naval structural mechanics. New York: Pergamon Press 1964.
[3] Boley, B. A. (ed.): Thermoinelasticity. Berlin, Heidelberg, New York: Springer 1970.
[4] Boley, B. A. (ed.): Crossfire in professional education: students, the professions and society. New York:
Pergamon Press 1977.
Articles
[1] Hoff, N.J., Boley, B. A.: The shearing rigidity of curved panels under compression. N.A.C.A. technical
note 1090. Washington D.C.: N.A.C.A., August 1946.
[2] Hoff, N.J., Boley, B. A. et al.: Stresses in and general instability ofmonocoque cylinders with cutouts.
Part 1: N.A.C.A. technical note 1013, June 1946; Part II: N.A.C.A. technical note 1014, June 1946;
Part III: N.A.C.A. technical note 1263, May 1947; Part IV: N.A.C.A. technical note 1264, February
1948; Part VI: N.A.C.A. technical note 1436, March 1948; Part VII: N.A.C.A. technical note 1962,
October 1949; Part VIII: N.A.C.A. technical note 1963, October 1949. Washington D.C.: N.A.C.A.
1946-1949.
[3] Boley, B. A.: Numerical methods for the calculation of elastic instability. J. Aeronaut. Sci. 14, 337-348
(1947).
[4] Boley, B. A., Lieber, P.: An analysis of two-dimensional viscous flow with shockwaves. Polytechnic
Institute of Brooklyn Aeronautical Laboratory Report No 137. Brooklyn, New York: Polytechnic
Institute of Brooklyn, October 1948.
[5] Hoff, N. J., Boley, B. A., et al.: The inward bulge type buckling of monocoque cylinders. Part IV:
N.A.C.A. technical note 1499, Part V: N.A.C.A. technical note 1505. Washington D.C.: N.A.C.A.
September 1948.
[6] Hoff, N. J., Boley, B. A., Coan, J. M.: The development of a technique for testing stiff panels in
edgewise compression. Proceedings of the Society for Experimental Stress Analysis 5, 14-24
(1948).
Bruno A. Boley: Biography 3
[7] Boley, B. A.: Concentrated loads effects in reinforced monocoque cylinders-consideration of the
eccentricity and the shearing and extensional deformations ofthe rings, In: Hans Reissner anniversary
volume (edited by Department of Aeronautical Engineering and Applied Mechanics of Polytechnic
Institute of Brooklyn) pp. 313-320. Ann Arbor, Michigan: J. W. Edwards 1949.
[8] Hoff, N.J., Salerno, V. L., Boley, B. A.: Shear stress concentration and moment reduction factors for
reinforced monocoque cylinders subjected to concentrated radial loads. J. Aeronaut. Sci. 16, 277-288
(1949).
[9] Boley, B. A.: The shearing rigidity of buckled sheet panels. J. Aeronaut. Sci. 17, 356-363 (1950).
[10] Boley, B. A., Moore, R. H.: A note on the calculation of deflections of indeterminate structures. J.
Aeronaut. Sci. 17, 526-527 (1950).
[11] Boley, B. A., Kempner, J., Meyers, J.: A numerical approach to the instability problem of monocoque
cylinder. N.A.C.A. technical note 2354, Washington D.C.: N.A.C.A. April 1951.
[12] Boley, B. A., Moore, R. H.: The calculation of deflections of indeterminate structures. J. Aeronaut. Sci.
18, 285 (1951).
[13] Hoff, N.J., Boley, B. A., Nardo, S. V., Kaufman, S.: The buckling of rigid-jointed plane trusses. Trans.
Am. Soc. Civ. Eng. 116, 958-998 (1951).
[14] Boley, B. A., Zimmoch, V. P.: Lateral buckling of non-uniform beams. J. Aeronaut. Sci. 19, 567-568
(1952).
[15] Boley, B. A.: Graphical-numerical solution of problems of Saint Vcnant torsion and bending. J. Appl.
Mech. 20, 321-326 (1953).
[16] Boley, B. A.: An energy theory of transverse impact on beams. Proceedings of the 8th International
Congress on Theoretical and Applied Mechanics, Istanbul, Turkey, 1953.
[17] Boley, B. A.: An approximate theory of lateral impact on beams. J. Appl. Mech. 22,69-76 (1955).
[18] Boley, B. A.: The application of Saint Venant's principle in dynamical problems. J. Appl. Mech. 22,
204-206 (1955).
[19] Boley, B. A., Chao, C. C.: Some solutions of the Timoshenko beam equations. J. Appl. Mech. 22,
579-586 (1955).
[20] Boley, B. A.: The determination of temperature, stresses and deflections in two-dimensional
thermoelastic problems. J. Aeronaut. Sci. 23, 67-75 (1956).
[21] Boley, B. A.: Thermally induced vibrations of beams. J. Aeronaut. Sci. 23,179-181 (1956).
[22] Boley, B. A.: A method for the construction of Green's functions. Quarter. Appl. Math. 14, 249-257
(1956).
[23] Boley, B. A., Tolins, I. S.: On the stresses and deflections of rectangular beams. J. Appl. Mech. 23,
339-342 (1956).
[24] Boley, B. A.: On thin-ring analysis. J. Aeronaut. Sci. 23, 802-803 (1956).
[25] Boley, B. A., Chao, C. C.: Impact on pin-jointed trusses. Trans. Am. Soc. Civ. Eng. 122,39-61 (1957).
[26] Boley, B. A.: The calculation of thermoelastic beam deflections by the principle of virtual work. J.
Aeronaut. Sci. 24, 139-141 (1957).
[27] Barber, A. D., Weiner, J. H., Boley, B. A.: An analysis of the effect of thermal contact resistance in
a sheet-stringer structure. J. Aeronaut. Sci. 24, 232-233 (1957).
[28] Weiner, J. H., Boley, B. A.: Basic concepts of the thermodynamics of continuous media. Technical report
No 57-288 Wright Aeronautics Development Command (WADC), Dayton, Ohio: Wright-Patterson
Air Force Base 1957.
[29] Boley, B. A.: On the use of sine transforms in Timoshenko beams impact problems. J. Appl. Mech. 24,
152-153 (1957).
[30] Boley, B. A., Barber, A. D.: Dynamic response of beams and plates to rapid heating. J. Appl. Mech. 24,
413-416 (1957).
[31] Boley, B. A.: A method for the construction offundamental solutions in elasticity theory. J. Math. Phys.
36, 261-267 (1957).
[32] Boley, B. A.: A method for the numerical evaluation of certain infinite integrals. Math. Tables and Other
Aids to Computation 9, 261-268 (1957).
[33] Boley, B. A., Barrekette, E. S.: Thermal stresses in curved beams. J. Aerosp. Sci. 25,627-631 (1958).
[34] Boley, B. A., Chao, C. C.: An approximate analysis ofTimoshenko beams under dynamic loads. J. Appl.
Mech. 25, 31-36 (1958).
[35] Boley, B. A.: Some observations on Saint Venant's principle. In: Proceedings of the 3rd U.S. National
Congress of Applied Mechanics, pp. 259-264, New York: American Society of Mechanical Engineers
1958.
