ACTA 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. All rights are reserved, whether the whole or part of the material is concerned, specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machines or similar means, and storage in data banks. © 1992 by Springer-Verlag Wien Printcd on acid-frec paper 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.