Nonlinear Stochastic Mechanics: IUTAM Symposium, Turin, 1991 PDF
Preview Nonlinear Stochastic Mechanics: IUTAM Symposium, Turin, 1991
Nonlinear Stochastic Mechanics International Union of Theoretical and Applied Mechanics N. Bellomo' F. Casciati (Eds.) Nonlinear Mechanics Stochastic~ IUTAM Syrnposium,Turin, 1991 Springer-Verlag Berlin Heidelberg New York London Paris Tokyo Hong Kong Barcelona Budapest Prof. Nicola Bellomo Dept. of Mathematics Politecnico di Torino Corso Duca degli Abruzzi 24 1-10129 Torino Italy Prof. Fabio Casciati Dept. of Structural Mechanics University of Pavia Via Abbiategrasso 211 1-27100 Pavia Italy ISBN-13: 978-3-642-84791-2 e-ISBN-13: 978-3-642-84789-9 001: 10.1007/978-3-642-84789-9 This work is subject to copyright.AII rights are reserved, whether the whole orpart ofthe material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting,reproduction on microfilm orin other ways, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copy right Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer-Verlag Violations are liable for prosecution act underthe German Copy right Law. © Springer-Verlag, Berlin Heidelberg 1992 Softcover reprint of the hardcover 1s t edition 1992 The use of general descriptive names,registered names,trademarks,etc.in this publication does not imply, even in the absence ofa specific statement, that such names are exempt from the rele vant protective laws and regulations and therefore free for general use. Typesetting: Camera ready by authors 61/3020-5 4 3 2 1 0 - Printed on acid-free paper Scientific Committee S.T.Ariaratnam, Canada N.Bellomo, Italy (Co-Chairman) P.Bernard, France V. V. Bolotin, USSR F.Casciati, Italy (Co-Chairman) M.Hazewinkel, The Netherlands R.N.Iyengar, India F.Kozin +, USA Y.K.Lin, USA S.Nakagiri, Japan J.B.Roberts, U.K. W.Schiehlen, Germany K.Sobczyk, Poland F.Ziegler, Austria' Local Organizing Committee I.Bonzani, Polytechnic of Torino P.Colombi, University of Pavia G.Comini, University of Pavia M.Pandolfi-Bianchi, Polytechnic of Torino A.Repaci, Polytechnic of Torino Sponsors - International Union of Theoretical & Applied Mechanics (IUTAM); -Italian Associatiol) of Theoretical and Applied Mechanics (AIMETA): Group of Stochastic Mechanics; - National Council for the Research (CNR): Mathematical Committee, Technological Com mittee, National Group of Earthquake Mitigation; - Cassa Risparmio Torino (CRT); - Minister for University and·Scientific and Technological Research (MURST); - Polytechnic of of Torino, Department of Mathematics; - University of Pavia., Department of Structural Mechanics; Editor's Preface The Symposium, held in Torino (lSI, Villa Gualino) July 1-5, 1991 is the sixth of a series of IUTAM-Symposia on the application of stochastic analysis to continuum and discrete mechanics. The previous one, held in Innsbruck (1987), was mainly concentrated on qual itative and quantitative analysis of stochastic dynamical systems as well as on bifurcation and transition to chaos of deterministic systems. This Symposium concentrated on fundamental aspects (stochastic analysis and mathe matical methods), on specific applications in various branches of mechanics, engineering and applied sciences as well as on related fields as analysis of large systems, system identifica tion, earthquake prediction. Numerical methods suitable to provide quantitative results, say stochastic finite elements, approximation of probability distribution and direct integration of differential equations have also been the object of interesting presentations. Specific topics of the sessions have been: Engineering Applications, Equivalent Lineariza tion of Discrete Stochastic Systems, Fatigue and Life Estimation, Fluid Dynamics, Numerical Methods, Random Vibration, Reliability Analysis, Stochastic Differential Equations, System Identification, Stochastic Control. We are indebted to the IUTAM Bureau for having promoted and sponsored this Sympo sium and the Scientific Committee for having collaborated to the selection of participants and lecturers as well as to a prompt reviewing of the papers submitted for publication into these proceedings. A special thank is due to Frank Kozin: the organization of this meeting was for him ';ery important; he missed the meeting but his organizer ability was present. In addition, we need expressing our gratitude to the participants who have contributed to enlight the Symposium with excellent scientific contributions and with stimulating dis cussions during the variuos sessions. These alive and qualified participation certainly con tributed to make the meeting a successful one. N.Bellomo F.Casciati Address of the Secretary-General of IUTAM Mr. Chairman, Ladies and gentlemen, On behalf of the International Union of Theoretical and Applied Mechanics I would like to welcome you at the Symposium on Nonlinear Stochastic Mechanics. The proposal to arrange this Symposium was accepted in August 1988 by the General Assembly of IUTAM. Since that time both chairmen, Professor Bellomo and Professor Cas ciati have done an excellent job preparing sud an outstanding scientific programme. The chairmen have been advised by the Scientific Committee in selecting participants and papers. The International Union of Theoretical and Applied Mechanics appoints the members of the Scientific Committee with great care. And, therefore, I will especially call Professors S. T. Ariaratnam from Canada, P. Bernard from France, V. V. Bolotin from USSR, M. Hazewinkel from The Netherlands, R. N. Iyengar from India, Y. K. Lin from USA, S. Nakagiri from Japan J. B. Roberts from UK, K. Sobczyk from Poland, F. Ziegler from Austria. However, one member of the Scientific Committee is no longer with us. Professor Frank Kozin from the United States of America died in spring 1990. He served from the early beginning in 1988 as a very active member of the Scientific Committee and participated in the first Committee meeting during December 1989 in person, too. Thus, his ideas have still great influence on this Symposium. You have already honoured him earlier this morning, I thank YQU very much for this remembrance of a great scientist. Italy is a member of the International Union of Theoretical and Applied Mechanics since 1949. The first IUTAM Symposium in this country took place as early as 1950 followed by three others. The following topics were treated: 1950 in Pallanza, Lago Maggiore: General Mechanics. VIII 1960 in Varenna: Cosmical Gas Dynamics IV 1982 in Torino: Modern Developments in Analytical Mechanics 1985 in Udine: Dynamics of Multibody Systems Thus, we are opening today the second IUTAM Symposium in Torino, in field of Solid mechanics, too. The science of stochastic mechanics has attracted the consideration of IUTAM since more than one decade. The first symposium in the field was held in 1976 in Southampton, England Then, it followed 1982 the Symposium in FrankfurtjOder and 1987 the Innsbruck Symposium under the chairmenship of the Professors Schueller and Ziegler. (Two other closely related symposia were held in 1972 in Coventry, England on Stability of Stochastic Dynamical Systems and 1984 in Stockholm, Sweden on Probabilistic Methods in Mechanics of Solids and Structures). And, I am sure, additional symposia will be organized by IUTAM in the years to come. In addition, it has to be mentioned that in the field of Nonlinear Dynamics stochastic methods are getting more important, too. Another trend is the strong impact of computers on mechanics, both theoretical and ap plied. The development of computational methods should, however, not be understood as a new branch of science. There is a real large amount of knowledge on mechanical material and mechanical systems available that has to be included in computational methods. Therefore, the Bureau of IUTAM feels that computers should support mechanical sciences and not vice versa. Ladies and gentlemen, enjoy the honour and pleasure attending a IUTAM Symposiuql, which means a first class symposium. Thank you. Werner Schiehlen Final Address at the Closing Ceremony Ladies and gentlemen, As a member of the Bureau let me at fIrst say a few words about the philosophy of the International Union of Theoretical and Applied Mechanics: The roofmg society was founded in the twenties to enhance the exchange of scientifIc ideas and to promote the personal understandings among the international group of scientists. The IUTAM-symposia are an outcome of that philosophy and, in addition, are designed to promote a more narrow field of mechanics and to define the current state-of-the-art. Participation is by invitation only. What about our special Stochastics Conference, the 6th in a row? Well, that field is not narrow in the measures of mechanics even if you exclude linear problems. What has been deterministic is the planning: the program, including 15 sessions had not to be changed. All speakers, counted in mathematical terms, ie exempt a very few one, showed up. The session titles give a good indication of the flavor of this symposium: Identification, associated with inverse problems, Equivalent Linearization, Reliability, Fatigue, Stochastic Differential Equations and, a completely new invention that to my charging was especially fruitful namely Engineering Applications, a little excursion into Fluid Dynamics, Control, Random Vibrations (in a more explicit form) and Numerical Methods. It is too early· to examine the quality of achievements of this symposium, I would like to leave this to the acceptance of the proceedings. Formally I can say, the symposium was a success, all goals of IUTA M have been met, lively discussions, a mixture of high ranking "older" scientists whoJeel young and beginners in our field who feel already mature. What was random in the program: the very first beginning, the start of the morning sessions and the patience of the session chairmen. But thanks to the speakers we could close all the sessions in time to reach the splendid social program. Some work remains to the chairmen. A report of the Symposium has to be prepared for the Annual Report of IUTAM. And the collected manuscripts will be edited as proceedings of the Symposium to be published by Springer-Verlag. I am convinced that Professor Bellomo and Professor Casciati will accomplish this work also in the same outstanding manner. x Before I close with the thanks of the IUTAM-bureau to the chairmen Professor Bellomo and Professor Casciati and to their staff as well as to all the contributors and participants let me put an invitation to you, to continue this kind of symposia with a good random flavor in 3 to 5 years from now. What would be needed is a carefully fIled program proposal on a form that can be received from the secretary-general Professor Schiehlen, Stuttgart. Presumptive chairmen should contact collegues of high reputation from several countries to suggest a scientific committee. I can tell from personal experience it is a pleasure to work for such a symposium in the field of random processes. Have a good journey back home and we thank you all again for your participation. Franz Ziegler MemberoftheIUTAM-Bureau Table of Contents Anh N.D., Krause R., SCHIEHLEN W., Statistical Linearization and Large Excitation of Nonlinear Stochastic Mechanical Systems 1 ARIARATNAM S.T., Xie W-C., On the Localization Phenomenon in Randomly Disordered Engineering Structures 13 AUGUSTI G., Borri C., Zahlten W., Nonlinear Dynamic Analysis of Cooling Towers under Stochastic Wind Loading 25 BARATTA A., Zuccaro G., An Application to the Solution of the Fokker-Planck- Kolmogorov Equation for Non Linear Oscillators under Stochastic Loading 35 Bergman L.A., SPENCER B.F., Robust Numerical Solution of the Transient Fokker- Planck Equation for Nonlinear Dynamical Systems 49 BERNARD P., About Stochastic Linearization 61 BILY M., Kliman V., Fatigue Life Estimation under Non-Stationary Stochastic Processes 71 Bjerager P., Langen I., WINTERSTEIN S.R., Marthinsen T., Karunakaran D., Application of Nonlinear Stochastic Mechanics in Offshore Engineering 83 BOLOTIN V.V., Estimation of Structural Reliability of Nonlinear Systems under Seismic Action 103 CHAMIS C.C., Engine Probabilistic Structural Analysis Methods Reliability jCertification 115 CHAVEZ M., Gonzalez D., Seismic Reliability of Simple RIC Frames Designed According with the 1976 and 1987 Mexico City Codes 131
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