Optimization of Distributed Parameter Structures -- Volume I

1981. Auflage 1981
ISBN: 978-90-286-2791-8
Verlag: Springer

Buch, Englisch, Band 49, 950 Seiten, Gewicht: 1620 g

Reihe: NATO Science Series E:

These proceedings contain lectures and contributed papers presented at the NATO-NSF Advanced Stucy Institute on Optimization of Distributed Parameter Structures (Iowa City, Iowa 21 May - 4 June, 1980). The institute was organized by E. Haug and J. Cea, with the enthusiastic help of leading contributors to the field of distributed parameter structural optimization. The principle con­ tributor to this field during the past two decades, Professor William Prager, participated in planning for the Institute and helped to establish its technical direction. His death just prior to the Institute is a deep loss to the community of engineers and mathematicians in the field, to which he made pioneering contri­ butions. The proceedings are organized into seven parts, each address­ ing important problems and special considerations involving classes of structural optimization problems. The review paper presented first in the proceedings surveys contributions to the field, primarily during the decade 1970-1980. Part I of the pro­ ceedings addresses optimality criteria methods for analyzing and solving problems of distributed parameter structural optimization. Optimality criteria obtained using variational methods of mech­ anics, calculus of variation, optimal control theory, and abstract optimization theory are presented for numerous classes of struct­ ures; including beams, columns, plates, grids, shells, and arches.

Zielgruppe

Research

Autoren/Hrsg.

Haug, E J

Cea, Jean

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
• Mathematik | Informatik Mathematik Mathematische Analysis Reelle Analysis

Inhaltsverzeichnis

1 Optimality Criteria Methods for Structural Optimization.- A Review of Distributed Parameter Structural Optimization Literature.- A Review of the Basis for Optimality Criteria Methods.- Variational Methods and Optimality Criteria.- Optimality Criteria for Grids, Shells and Arches.- Optimization of Columns Against Buckling.- Optimization of Transversely Vibrating Beams and Rotating Shafts.- Singular Problems of Optimal Design.- Optimization of Structures with Repeated Eigenvalues.- Optimal Design of Solid Elastic Plates.- On Some New Optimal Design Formulations for Plates.- Design of Plates for Minimum Deflection and Stress.- Variational Formulation and Numerical Methods in Optimal Design.- A Note on the Optimal Elastic Design for Given Deflection.- On the Optimum Shape of Columns.- 2 Numerical Optimization Methods.- Optimal Remodeling Theory and Applications.- A Gradient Projection Method for Structural Optimization.- Distributed Parameter Structural Optimization for Dynamic Response.- Remarks on the Optimal Shape of the Fixed-Fixed Column.- A Numerical Method for Optimization of Structures with Repeated Eigenvalues.- Multiple Eigenvalues and Supremum Norm Constraints.- 3 Optimization of Structures Under Earthquake Loads.- Optimal Design of Structures under Dynamic Loading.- Algorithms for Optimal Design.- A Software System for Optimization Based Interactive Computer-Aided Design.- Applications of Optimal Design to Structures Subjected to Earthquake Loading.- Evaluation of Frame Systems Based on Optimality Criteria with Multicomponent Seismic Inputs, Performance Constraints, and P-? Effect.- 4 Finite Dimensional Structural Optimization.- Structural and Mechanical Design Via Optimality Criterion Methods.- Analysis of “Allowable Stress” Type Algorithms.- AnIntroduction to the Solution of Optimal Structural Design Problems Using the Finite Element Method.- Optimization of Large Flexural Finite Element Systems.- The Integrated Approach of FEM-SLP for Solving Problems of Optimal Design.- Optimum Design of Portal Frames with Tapered Steel Sections.- Computer Oriented Algorithms for Solving Structural Optimization Problems with Discrete Programming Techniques.- The Sizing of Structures Using Dynamic Relaxation.- Automatic Design of Frames with Tapered Tubular Members.