Optimal Structural Design under Stability Constraints [E-Book] / by Antoni Gajewski, Michal Zyczkowski.
Gajewski, Antoni, (author)
Zyczkowski, Michal, (author)
Dordrecht : Springer, 1988
XVI, 470 p. online resource.
englisch
9789400927544
10.1007/978-94-009-2754-4
Mechanics of Elastic Stability ; 13
Full Text
Table of Contents:
  • 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 of thin-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.