Optimal Structural Design under Stability Constraints - Antoni Gajewski

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Sommaire:
1. Elements of the theory of structural stability.- 1.1 Definition of stability.- 1.2 Stability of elastic structures.- 1.3 Elastic-plastic stability.- 1.4 Stability and buckling in creep conditions.- 2. Problems of optimal structural design.- 2.1 Formulation of optimization problems.- 2.2 Design objectives and their criteria.- 2.3 Design variables.- 2.4 Constraints and their criteria.- 2.5 Equation of state.- 2.6 Stability constraints in structural optimization.- 3. Methods of structural optimization.- 3.1 Calculus of variations.- 3.2 Pontryagin's maximum principle.- 3.3 Sensitivity analysis.- 3.4. Parametric optimization, mathematical programming.- 4. Elastic and inelastic columns.- 4.1 Stability of non-prismatic columns.- 4.2 Unified approach to optimization of columns.- 4.3. Unimodal solutions to linearly elastic problems.- 4.4 Multimodal solutions to conservative problems.- 4.5 Non-conservative linearly-elastic problems.- 4.6 Inelastic columns.- 5. Arches.- 5.1 Stability of non-prismatic arches.- 5.2 General statement of the optimization problem.- 5.3 Funicular arches.- 5.4 Extensible arches optimized for in-plane bifurcation and snap-through.- 5.5 Optimal forms of axis of the arch.- 6. Trusses and Frames.- 6.1 Stability of trusses.- 6.2 Optimal design of trusses.- 6.3 Stability of frames.- 6.4 Optimal design of frames.- 7. Plates and Panels.- 7.1 Governing equations of stability of plates.- 7.2 Optimal design of circular and annular plates.- 7.3 Optimal design of rectangular plates.- 7.4 Aeroelastic optimization.- 8. Shells.- 8.1 Stability of shells.- 8.2 Optimal design of cylindrical shells.- 8.3 Optimal design of cylindrical shells via the concept of uniform stability.- 8.4 Optimal design of noncylindrical shells.- 9. Thin-walled bars.- 9.1 Stability ofthin-walled bars.- 9.2 Optimal design of thin-walled columns.- 9.3 Optimal design of thin-walled beams.- 9.4 Aeroelastic problems.- 9.5 Optimal design of structures of thin-walled elements.- 9.6 Final remarks.- References.- I. Monographs, textbooks and proceedings of selected symposia.- 1. Optimal structural design.- 2. Structural stability.- 3. Optimization theory and methods.- II. References to individual chapters.- 1. Elements of the theory of structural stability.- 2. Problems of structural design.- 3. Methods of structural optimization.- 4. Elastic and inelastic columns.- 5. Arches.- 6. Trusses and frames.- 7. Plates and panels.- 8. Shells.- 9. Thin-walled bars.- III. References added in proof.- Author Index.