Chibani Optimum Design of Structures

With Special Reference to Alternative Loads Using Geometric Programming
1989
ISBN: 978-3-642-83890-3
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 50, 154 Seiten, eBook

Reihe: Lecture Notes in Engineering

Zielgruppe

Research

Autoren/Hrsg.

Chibani, Lahbib

Inhaltsverzeichnis

1. Introduction.- 1.1 Structural Optimization.- 1.2 Previous Work.- 1.3 Proposed Improvement in Optimal Design Process.- 1.4 Purpose and Scope.- 1.5 Contents of this Study.- 1.6 Notation.- 2. Geometric Programming with Equality Constraints.- 2.1 Overview.- 2.2 Geometric Programming.- 2.3 Solution of the Primal Problem by Condensation.- 2.4 Generalized Geometric Programming.- 2.5 Geometric Programming with Equality Constraints.- 2.5.1 Generalized Geometric Programming with Equality Constraints Algorithm.- 2.5.2 Interactive Generalized Geometric Programming Solver (IGGP).- 3. Decomposition and Reduction Techniques for Large Scale Structural Optimization.- 3.1 Overview.- 3.2 Multilevel Systems and Decompositions in Nonlinear Programming.- 3.3 The Model Coordination Method.- 3.3.1 Illustrative Example.- 3.4 The Goal Coordination Method.- 3.4.1 Illustrative Example.- 3.5 Basis Reduction Techniques.- 3.6 Variable Linking.- 3.7 Relaxation and Linearization.- 4. Parallel Decomposition for Alternative Loads in Structural Optimization.- 4.1 Overview.- 4.2 The Move Coordination Formulation for Alternative Loading Conditions.- 4.3 Solution Algorithm.- 4.3.1 Algorithm (a).- 4.3.2 Algorithm (b).- 4.4 Relationship between the Move Coordination Method and Global Solution without Decomposition.- 4.5 Example — the Three Bar Truss.- 4.5.1 Formulation and Direct Solution.- 4.5.2 Solution by the Move Coordination Method.- 4.6 Effect of the Initial Relaxation.- 5. Application to Truss Type Structures.- 5.1 Formulation and Generation of Data.- 5.1.1 Formulation.- 5.1.2 Generation of Data.- 5.2 The Ten Bar Truss.- 5.2.1 Problem Statement.- 5.2.2 Solution by the Move Coordination and the Global Solution.- 5.2.3 Behavior of Bars in the Cyclic Iteration History.- 5.3 The 25-Member Space Truss.- 5.3.1 Problem Statement.- 5.3.2 Solution by the Move Coordination and Global Solution.- 5.3.3 Behavior of the Members in the Cyclic Iteration History.- 6. Summary, Conclusions and Plans for Future Work.- 6.1 Summary.- 6.2 Conclusions.- 6.3 Plans for Future Work.- 6.3.1 The Solution Algorithms.- 6.3.2 Application of the Decomposition Method.- References.