Stability and Optimization of Flexible Space Structures
The aim of this book is to present up-to-date methodologies in the analysis and optimization of the elastic stability of lightweight statically determinate, and in- determinate, space structures made of flexible members which are highly stiff when loaded centrally at the nodes. These are flat and cu...
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| Format: | eBook |
| Language: | English |
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Basel
Birkhäuser
1995, 1995
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| Edition: | 1st ed. 1995 |
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| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 1 The Post-Buckling Analysis of Pin-Connected Slender Prismatic Members
- 1.1 The Post-Buckling Behavior of Single Pin-Ended Elastic Members—General Law of Pin-Jointed Members
- 1.2 Elastic Buckling of Pin-Jointed Plane Isostatic Trusses Composed of Flexible Bars
- 1.3 Thermal Buckling of Axially Constrained Compressive Pin-Jointed Slender Members
- 1.4 Thermal Post-Buckling of Flexible Elastic Members in Statically Indeterminate Pin-Jointed Lattices—An Illustration of the Basic Theory
- 2 The Post-Buckling Equilibrium of Isostatic Hinge-Connected Space Structures Composed of Slender Members
- 2.1 General Force-Displacement Equilibrium Paths for Perfect Members
- 2.2 Geometrical Compatibility Conditions in Space
- 2.3 Initial Kinematic Relations
- 2.4 Kinematic Relations in Post-Buckling
- 2.5 Initial Equilibrium States
- 2.6 Unsupported Structures—Initial Kinematic and Equilibrium Conditions
- 2.7 Equilibrium in Post-Buckling
- 3.2 Initial Equilibrium Equations—Kinematic Admissibility Conditions at the Ultimate Critical State
- 3.3 Simplified Kinematic Admissibility Conditions for the Buckled Hyperstatic Lattice
- 3.4 Matrix Formulation of the General Law for Prismatic Pin-Jointed Members in a Hyperstatic Lattice
- 3.5 Matrix Formulation of the General Post-Buckling Equilibrium Equations for Hyperstatic Pin-Jointed Lattices
- 3.6 Reduction of the General Equilibrium Equations of the Hyperstatic Lattice and Their Solution
- 3.7 Direct Evaluation of the Most Degrading Buckling Mode in Equilibrium Using the Total Potential Energy Hypersurfaces
- 3.8 Comparison of the Numerical Results Characterizing the Post-Buckling Equilibrium of Three Model Reticulated Shells for Underwater Applications
- 3.9 The Most Degrading Post-Buckling Modes for the Three Model Reticulated Shells Intended for Underwater Applications
- 3.10 Minimization Methods in the Direct Evaluation of the Most Degrading Buckling Modes
- 2.8 Alternative Derivation of the Post-Buckling Equilibrium Equations
- 2.9 Alternative Derivation of the Post-Buckling Equilibrium Equations—Matrix Formulation of the General Law
- 2.10 Alternative Derivation of the Post-Buckling Equilibrium Equations—Matrix Formulation of the Equilibrium Equations on the Distorted Geometry
- 2.11 The Post-Buckling Equilibrium States
- 2.12 Reduction of the General Equilibrium Equations and Their Solution
- 2.13 Some Applications of the Theory to Simple Space Structures Made of Flexible Elastic Members
- 2.14 Influence of Initial Imperfections on the Post-Buckling Equilibrium Paths of Pin-Connected Lattices Composed of Flexible Members
- 2.15 Stability Analysis of Equilibrium States
- 2.16 Some Applications of the Stability Theory to Practical Space Lattices and Structures
- 3 Static and DynamicBuckling of Complex Hyperstatic Pin-Connected Elastic Systems
- 3.1 Introduction—Post-Buckling of Hyperstatic Lattices
- 3.11 Numerical Evaluation of the Most Degrading Dynamic and Static Buckling Modes and the Structural Stability Optimization Strategies in Hyperstatic Pin-Jointed Elastic Systems
- 3.12 Structural and Material Features of Practical Optimizable Elastic Systems Pin-Jointed by Special Connectors—The BRISHELL Systems
- The Figure Source Index