Title | Structural Optimization [electronic resource] : Volume 1: Optimality Criteria / edited by M. Save, W. Prager, W. H. Warner |
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Imprint | Boston, MA : Springer US, 1986 |
Connect to | http://dx.doi.org/10.1007/978-1-4615-7921-2 |
Descript | XII, 346 p. 3 illus. online resource |
1. Review of Some Basic Concepts and Theorems of Structural Analysis -- 1.1. Static and Kinematic Variables -- 1.2. Linearly Elastic Structures -- 1.3. Rigid, Perfectly Plastic Structures -- 1.4. Elastic, Perfectly Plastic Structures -- 2. Problem Formulation and Optimality Criteria -- 2.1. Terminology -- 2.2. Problem Types -- 2.3. Elementary Problems of Structural Optimization -- 2.4. Empirical Optimality Criteria -- 2.5. Ill-Posed Problems -- 3. Optimal Design of Beams and Frames -- 3.1. Optimality Condition for Prescribed Load Factor at Plastic Collapse -- 3.2. Optimal Plastic Design for Given Collapse Load -- 3.3. Optimality Condition for Prescribed Elastic Compliance -- 3.4. Optimal Elastic Design for Given Compliance -- 3.5. Various Behavioral Constraints: Common Features and Optimality Conditions -- 3.6. Examples of Optimal Single-Purpose Structures for Various Behavioral Constraints -- 3.7. General Formulation of Optimality Conditions for Multipurpose Beams and Frames -- 3.8. Examples of Optimal Design of Multipurpose Structures -- 3.9. Optimization of the Layout -- 4. Optimal Design of Trusses -- 4.1. Optimal Plastic Design of a Truss of Given Layout for a Single Loading -- 4.2. Optimal Layout of a Truss in Plastic Design for a Single Loading -- 4.3. Michellโs Problem -- 4.4. Michell Fields -- 4.5. Use of Michell Fields -- 4.6. Optimal Design of an Elastic Truss for Given Compliance -- 4.7. Nearly Optimal Layout of Trusses with a Finite Number of Joints -- 4.8. Some Remarks on Optimal Trusses -- 4.9. Appendix -- 5. Optimal Design of Grillages -- 5.1. Optimal Plastic Design of Rectangular Grillages of Orthogonal Prismatic Beams -- 5.2. Optimal Layout of a Grillage in Plastic Design for a Single Loading -- 5.3. Morley Fields -- 5.4. Matching of Morley Fields -- 5.5. Optimal Polygonal Grillages -- 5.6. Partially Discretized Grillages -- 6. Optimal Design of Plates, Shells, and Disks -- 6.1. Introduction -- 6.2. Circular Plates with Axisymmetric Loading -- 6.3. Other Plate Problems -- 6.4. Cylindrical Shell under Axisymmetric Loads -- 6.5. Other Shell Problems -- 6.6. Circular Disks in Plane Stress -- 6.7. Other Optimal Disk Problems -- 7. Lagrange Multiplier Methods for Optimization with Constraints -- 7.1. Introduction -- 7.2. Beams in Bending -- 7.3. Plates in Bending -- 7.4. Optimal Segmentation and Optimal Location of Supports -- 7.5. General Discussion -- 8. Review of Some Extensions of Design Procedures -- 8.1. Introduction -- 8.2. Extensions to Other Structures -- 8.3. Extensions to Other Behavioral Constraints -- 8.4. Extensions to Other Cost Functions -- 9. Solutions to Exercises -- References