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Discretization Methods and Structural Optimization — Procedures and Applications

Proceedings of a GAMM-Seminar October 5–7, 1988, Siegen, FRG

  • Conference proceedings
  • © 1989

Overview

Editors:
  1. Hans A. Eschenauer

    1. Institute of Mechanics and Control Engineering, University of Siegen, Siegen, Germany

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    You can also search for this editor in PubMed   Google Scholar

  2. Georg Thierauf

    1. Dept. of Civil Engineering, University of Essen, Essen, Germany

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Lecture Notes in Engineering (LNENG, volume 42)

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Table of contents (45 papers)

  1. Front Matter

    Pages I-XV
    Download chapter PDF

  2. Opening Lecture

    1. Actual State of Structural Optimization

      • H. A. Eschenauer
      Pages 1-9

  3. Contributed Papers

    1. Interactive Design Optimization of Structural Systems

      • Jasbir S. Arora
      Pages 10-16

    2. Quasi-Optimization for Efficient Stiffness Design of Structures

      • H. J. Baier
      Pages 17-23

    3. Engineering Applications of Heuristic Multilevel Optimization Methods

      • Jean-Francois M. Barthelemy
      Pages 24-31

    4. Weight Optimization of Steel Frames with Consideration of Geometrical and Material Nonlinearities

      • A. Becker, V. Berkhahn, E. Stein
      Pages 32-39

    5. Shape Optimization as a Discrete Optimization Problem — Solution Procedures Using Continuous Approximations

      • Martin Philip Bendsøe
      Pages 40-47

    6. Solving Scalar Problems of Vector Optimization

      • Heinz Bernau
      Pages 48-55

    7. Multilevel Optimization of Large-Scale Structures in a Parallel Computing Environment

      • Vinay Bhatt, Stefan Linden, K. M. Ragsdell
      Pages 56-63

    8. Finite Elements and Structural Optimization Some Aspects of Problem Formulation

      • Kai-Uwe Bletzinger, Ekkehard Ramm
      Pages 64-70

    9. Optimization of Supporting Conditions for Columns Subjected to Nonconservative Loads

      • R. Bogacz, O. Mahrenholtz
      Pages 71-78

    10. Multi-Stage Optimization of Structures subject to Static and Dynamic Loading

      • G. Booz, W. Booz, G. Thierauf
      Pages 79-86

    11. On a Decomposition Technique within the Scope of a Design Optimization Process

      • M. Bremicker, H. Eschenauer, P. Post
      Pages 87-94

    12. A Recursive Procedure for the Solution of Linear and Nonlinear Vector Optimization Problems

      • Bruno Brosowski
      Pages 95-101

    13. Optimal Design of Viscoplastic Structures Under Dynamic Loadings

      • E. Cegielski, M. Życzkowski
      Pages 102-109

    14. Application of Interactive Vector Optimization Methods with Regard to Problems in Structural Mechanics

      • H. A. Eschenauer, E. Schäfer, H. Bernau
      Pages 110-117

    15. Convex Approximation Strategies in Structural Optimization

      • C. Fleury, H. Smaoui
      Pages 118-126

    16. Preliminary Design of a Filament Wound Pressure Vessel: A Coupled Decision Support Problem

      • W. Fuchs, H. M. Karandikar, R. Srinivasan, F. Mistree
      Pages 127-135

    17. On the Accuracy of Shape Sensitivity Derivatives

      • Raphael T. Haftka, Bruno Barthelemy
      Pages 136-144

    18. Knowledge Acquisition for Expert System Aided Structural Optimization by Means of Transformation Methods and Primal Methods

      • D. Hartmann
      Pages 145-153
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Keywords

About this book

In recent years, the Finite Element Methods FEM were more and more employed in development and design departments as very fast working tools in order to determine stresses, deformations, eigenfrequencies etc. for all kinds of constructions under complex loading conditions. Meanwhile. very effective software systems have been developed by various research teams although some mathematical problems (e. g. convergence) have not been solved satisfac­ torily yet. In order to make further advances and to find a common language between mathe­ maticians and mechanicians the "Society for Applied Mathematics and Mechanics" (GAMM) agreed on the foundation of a special Committee: "Discretization Methods in Solid Mechanics" focussing on the following problems: - Structuring of various methods (displacement functions, hybrid and mixed approaches, etc. >, - Survey of approach functions (Lagrange-/Hermite-polynominals, Spline-functions), - Description of singularities, - Convergence and stability, - Practical and theoretical optimality to all mentioned issues (single and interacting). One of the basic aims of the GAMM-Committee is the interdisciplinary cooperation between mechanicians, mathematicians, and users which shall be intensified. Thus, on September 22, 1985 the committee decided to hold a seminar on "Structural Optimization" in order to allow an exchange of experiences and thoughts between the experts of finite element methods and those of structural optimization. A GAMM-seminar entitled "Discretization Methods and Structural Optimization - Procedures and Applications" was hold on October 5-7, 1988 at the Unversity of Siegen.

Editors and Affiliations

  • Institute of Mechanics and Control Engineering, University of Siegen, Siegen, Germany

    Hans A. Eschenauer

  • Dept. of Civil Engineering, University of Essen, Essen, Germany

    Georg Thierauf

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