Optimization of Large Structural Systems PDF
Preview Optimization of Large Structural Systems
Optimization of Large Structural Systems NATO ASI Series Advanced Science Institutes Series A Series presenting the results of activities sponsored by the NATO Science Committee, which aims at the dissemination of advanced scientific and technological know/edge, with a view to strengthening links between scientific communities. The Series is published by an international board of publishers in conjunction with the NATO Scientific Affairs Division A ute Sciences Plenum Publishing Corporation B Physics London and New York C Mathematical K1uwer Academic Publishers and Physical Sciences Dordrecht, Boston and London D Behavioural and Social Sciences E Applied Sciences F Computer and Systems Sciences Springer-Verlag G Ecological Sciences Berlin, Heidelberg, New York, London, H Cell Biology Paris and Tokyo I Global Environmental Change NATo-PCo-DATA BASE The electronic index to the NATO ASI Series provides full bibliographical references (with keywords and/or abstracts) to more than 30000 contributions from international scientists published in all sections of the NATO ASI Series. Access to the NATO-PCO-DATA BASE is possible in two ways: - via online FILE 128 (NATO-PCO-DATA BASE) hosted by ESRIN, Via Galilee GaUlei, 1-00044 Frascati, Italy. - via CD-ROM -NATO-PCO-DATA BAS~ with user-friendly retrieval software in English, French and German (owrv GmbH and DATAWARE Technologies Inc. 1989). The CD-ROM can be ordered through any member of the Board of Publishers or through NATO-PCO, Overijse, Belgium. SerIes E: Applied Sciences· Vol. 231-1 Optimization of Large Structural Systems Volume I edited by G. I. N. Rozvany Professor of Structural Design. Essen University. Germany Springer-Science+Business Media, B.V. Proceedings of the NATO/DFG Advanced Study Institute on Optimization of Large Structural Systems Berchtesgaden, Germany 23 September - 4 October 1991 Ubrary of Congress Cataloging-in-Publication Data NATO'DFG Advanced Study Inst ltute (1991 Berchtesgaden. Gerllany) Optl11,zatlon of large structural systells proceedIngs of the NATO/OFG Advanced Study Inst 1 tute. Berchtesgaden. Ger.any. 23 Sept.-4 Oct. 1991 I edited by G.I.N. Rozvany. p. Clio -- (NATO ASI series. Series E. Applied scUness ~ vol. 231 ) Inc 1u das 1n dex. ISBN 978-94-010-9579-2 ISBN 978-94-010-9577-8 (eBook) DOI 10.1007/978-94-010-9577-8 1. Structural optll1izatl0n--Congresses. I. Rozvany. G. I. N. II. North Atlantic Treaty Organization. III. Deutsche Forschungsgell8 1n schaft. IV. Tit 1e . V. Ser 1a s: NATO AS! ser j as. Series E. Applied scUnces : no. 231, TA658.8.N39 1991 624.1' 771--dc20 92-43799 ISBN 978-94-010-9579-2 Printed on acid-free paper All Rights Reserved © 1993 Springer Science+Business Media Dordrecht Originally published by Kluwer Academic Publishers in 1993 Softcover reprint of the hardcover 1st edition 1993 No part of the material protected by this copyright notice may be reproduced or utilized in any form or by any means, electronic or mechanical, including photo copying, recording or by any information storage and retrieval system, without written permission from the copyright owner. TABLE OF CONTENTS VOLUME I PREFACE xi LIST OF PARTICIPANTS xiii Opening Address by L. Berke xix Closing Address by B.L. Karihaloo xxi PRINCIPAL LECTURES Optimality Criteria and Topology Optimization G.1.N. Rozvany and M. Zhou Continuum-Based Optimality Criteria (COC) Methods: An Introduction 1 M. Zhou and G.1.N. Rozvany Iterative COC Methods Part 1. Iterative Methods Based on Continuum Formulation 27 Part II. Iterative COC Methods Formulated Directly for Discretized Systems (DCOC Methods) 59 G.1.N. Rozvany, M. Zhou and W. Gollub Layout Optimization by COC Methods: Analytical Solutions 77 GJ.N. Rozvany and M. Zhou Layout and Generalized Shape Optimization by Iterative COC Methods 103 U. Kirsch and G.1.N. Rozvany Design Considerations in the Optimization of Structural Topologies 121 M.P. BendS!1Se and A. Ben-Tal Truss Topology Optimization by a Displacements Based Optimality Criterion Approach 139 vi K. Suzuki and N. Kikuchi Layout Optimization Using the Homogenization Method 157 J. Fukushima, K. Suzuki and N. Kikuchi Applications to Car Bodies: Generalized Layout Design of Three-Dimensional Shells 177 Decomposition Methods and Approximation Concepts J. Sobieszczanski-Sobieski Optimization by Decomposition in Structural and Multidisciplinary Applications 193 J.-F.M. Barthelemy and R.T. Haftka Recent Advances in Approximation Concepts for Optimum Structural Design 235 H.L. Thomas and G.N. Vanderplaats The State of the Art of Approximation Concepts in Structural Optimization 257 U. Kirsch Approximate Models for the Optimization of Large Structural Systems 271 Sensitivity Analysis R.T. Haftka and H.M. Adelman Sensitivity of Discrete Systems 289 K.K. Choi and S. Wang Design Sensitivity Analysis of Dynamics of Built-Up Structures Using Ritz and Mode Acceleration Methods 313 K.K. Choi, 1. Shim, J. Lee and H.T. Kulkarni Design Sensitivity Analysis of Dynamic Frequency Responses of Acousto-Elastic Built-Up Structures 329 J.S. Arora and T.H. Lee Shape Design Sensitivity Analysis of Nonlinear Nonconservative Structural Problems 345 G. Cheng and N. Olhoff New Method of Error Analysis and Detection in Semi-Analytical Sensitivity Analysis 361 N. Olhoff and J. Rasmussen Method of Error Elimination for a Class of Semi-Analytical Sensitivity Analysis Problems 385 vii B. Rousselet Introduction to Shape Sensitivity - Three-Dimensional and Surface Systems 397 B. Rousselet A Finite Strain Rod Model and Its Design Sensitivity 433 z. Mroz Design Sensitivity of Critical Loads and Vibration Frequencies of Nonlinear Structures 455 K. Dems Direct and Adjoint Approach to First- and Second-Order Shape Sensitivity and Optimal Design of Structure 477 K. Dems Shape Sensitivity Analysis and Optimal Design of Plates with Varying External and Internal Boundaries 493 Mathematical Programming and Global Optima C. Fleury Dual Methods for Convex Separable Problems 509 C. Fleury Sequential Convex Programming for Structural Optimization Problems 531 K. Svanberg The Method of Moving Asymptotes (MMA) with Some Extensions 555 K. Svanberg Some Second Order Methods for Structural Optimization 567 K. Svanberg Local and Global Optima 579 J. Herskovits An Interior Points Method for Nonlinear Constrained Optimization 589 S. Hernandez A New Mathematical Procedure for Global Optimization in Nonconvex Problems 609 viii VOLUME II Composite, Anisotropic and Nonlinear Materials Z. Giirdal and R. T. Haftka Optimization of Composite Laminates 623 P. Pedersen Optimal Orientation of Anisotropic Materials Optimal Distribution of Anisotropic Materials Optimal Shape Design with Anisotropic Materials Optimal Design for a Class of Non-Linear Elasticity 649 J .E. Taylor and J. Logo Analysis and Design of Elastic/Softening Truss Structures Based on a Mixed-Form Extremum Principle 683 M.P. Bends~e, N. Olhoff and J.E. Taylor A Unified Approach to the Analysis and Design of Elasto-Plastic Structures with Mechanical Contact 697 C. Cinquini and M. Rovati Optimal Orientation of Orthotropic Properties for Continuum Bodies and Structural Elements 707 Neural Networks, Parallel Processing, Multicriteria and Control Problems L. Berke and P. Hajela Application of Neural Nets in Structural Optimization 731 P. Hajela, B. Fu and L. Berke Self-Organization in Neural Networks - Applications in Structural Optimization 747 B.H.V. Topping and A.I. Khan Parallel Computations for Structural Analysis, Re-Analysis and Optimization 767 J. Koski Multicriterion Structural Optimization - State of the Art 793 H.L. Thomas and G.N. Vanderplaats Control-Augmented Structural Synthesis 811 ix N.S. Khot Structural and Control Optimization 829 Applications M.Z. Cohn Theory and Practice of Structural Optimization 843 D.E. Grierson and C.-M. Chan Design Optimization of Tall Steel Building Frameworks 863 D.E. Grierson and L. Xu Design Optimization of Steel Frameworks Accounting for Semi-Rigid Connections 873 D.E. Grierson and H. Moharrami Design Optimization of Reinforced Concrete Building Frameworks 883 B.L. Karihaloo and S. Kanagasundaram Optimum Design of Plane Structural Frames by Non-Linear Programming 897 B.L. Karihaloo and S. Kanagasundaram Minimum-Cost Design of Reinforced Concrete Members by Non-Linear Programming 927 w. Dobler, P. Erl and H. Rapp Optimization of Sandwich Structures with Respect to Local Instabilities with MBB-Lagrange 951 H.J. Baier Optimization in Structural Dynamics with Applications 973 H.J. Baier Optimization in Coupled Problems 987 H.J. Baier Composite Laminate and Sandwich Optimization with Applications 997 H.A. Eschenauer, G. Schuhmacher and W. Hartzheim Multidisciplinary Optimization of Fiber Composite Aircraft Structures 1011 Miscellaneous Topics C.A. Mota Soares, J.I. Barbosa and C.M. Mota Soares Shape Optimal Design of Axisymmetric Shell Structures 1023
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