| Preface | xiii |
Part I | Overview | 1 |
Chapter 1 | Introduction | 3 |
1.1 | The concept of deployable structures | 3 |
1.2 | Motivation for research | 6 |
1.3 | Potential applications | 9 |
1.4 | Advantages | 10 |
1.5 | Types of deployable structures | 11 |
1.6 | Research centers for deployable structures | 12 |
1.7 | Layout of the book | 17 |
Chapter 2 | Earth-Based Deployable Structures | 19 |
2.1 | Classification | 19 |
2.2 | Deployable structures based on pantographs | 20 |
2.3 | Deployable structures based on 2-D panels | 52 |
2.4 | Cable and membrane deployable structures | 63 |
2.5 | Pneumatic deployable structures | 69 |
2.6 | Tensegrity deployable structures | 78 |
2.7 | Retractable roofs | 82 |
2.8 | Other architectural applications | 89 |
Chapter 3 | Deployable Structures for Space Applications | 93 |
3.1 | Early designs | 93 |
3.2 | The concept of adaptivity | 105 |
3.3 | Recent designs | 109 |
Part II | Snap-Through Type Deployable Structures | 145 |
Chapter 4 | Introductory Remarks | 147 |
4.1 | The concept of snap-through | 147 |
4.2 | Examples of bi-stable structures | 148 |
4.3 | Historical evolution | 151 |
4.4 | Structural behavior | 153 |
Chapter 5 | Geometric Design | 157 |
5.1 | The geometric design approach | 157 |
5.2 | Polygonal units for flat structures | 158 |
5.2.1 | Geometric constraints | 158 |
5.2.2 | Geometric design | 161 |
5.2.3 | Discrete joint dimensions | 161 |
5.3 | Geometric constraints for flat unit assemblages | 164 |
5.4 | Polygonal units for curved structures | 165 |
5.4.1 | Geometric constraints | 168 |
5.4.2 | Geometric design | 172 |
5.4.3 | Discrete joint dimensions | 173 |
5.5 | Geometric constraints for curved unit assemblages | 176 |
5.5.1 | Polyhedra with polygons of one order i[subscript 1] | 180 |
5.5.2 | Polyhedra with polygons of two orders i[subscript 1] and i[subscript 2] | 181 |
5.5.3 | Polyhedra with polygons of three orders i[subscript 1], i[subscript 2], and i[subscript 3] | 181 |
5.6 | Trapezoidal units for flat structures | 183 |
5.6.1 | Geometric constraints | 183 |
5.6.2 | Geometric design | 186 |
5.6.3 | Discrete joint dimensions | 188 |
5.7 | Structures with arbitrary geometry | 191 |
5.7.1 | Prismatic units | 192 |
5.7.1.1 | Geometric constraints | 193 |
5.7.1.2 | Geometric design | 195 |
5.7.2 | Pyramidal units | 198 |
5.7.2.1 | Geometric constraints | 199 |
5.7.2.2 | Geometric design | 202 |
5.8 | Experimental verification | 204 |
5.8.1 | Description of experimental program | 204 |
5.8.2 | Small-scale models | 204 |
5.8.3 | Medium-scale models | 209 |
5.8.4 | Hub design | 212 |
5.8.5 | Full-size model | 214 |
5.8.6 | Testing | 220 |
5.8.7 | Suggestions for future experimental work | 220 |
5.9 | Concluding remarks on geometric design | 222 |
Chapter 6 | Structural Analysis | 223 |
6.1 | Overview | 223 |
6.2 | Analysis in the deployed configuration | 224 |
6.2.1 | The finite element approach | 225 |
6.2.2 | Modeling of deployable flat slabs via equivalent continua | 227 |
6.2.2.1 | Substitution of SLEs by uniform beams | 230 |
6.2.2.2 | Substitution of equivalent grid by equivalent slab | 237 |
6.2.2.3 | Model verification and limitations | 239 |
6.3 | Analysis during deployment | 241 |
6.3.1 | Basic considerations for single units | 242 |
6.3.2 | Friction: main mechanism and proposed model | 253 |
6.3.2.1 | The proposed friction model | 255 |
6.3.2.2 | Exact model for pivotal connection between two bars | 259 |
6.3.2.3 | Exact model for hinged connections between bars and hubs | 260 |
6.3.2.4 | Approximate model for pivotal connection | 261 |
6.3.2.5 | Approximate model for hinged connection | 262 |
6.3.2.6 | Implementation of the proposed model | 262 |
6.3.2.7 | Verification of the proposed numerical model | 264 |
6.3.3 | Conclusions on finite element modeling for single deployable units | 265 |
6.3.4 | Deployment results for multi-unit structures | 267 |
6.3.4.1 | Proposed approximate model for multi-unit structures | 269 |
6.3.5 | Analytical prediction of snap-through intensity | 272 |
6.3.5.1 | Derivation of approximate models for flat units | 274 |
6.3.5.2 | Verification of approximate models for flat units | 280 |
6.3.5.3 | Derivation of approximate model for curved units | 282 |
6.3.5.4 | Verification of approximate models for curved units | 288 |
6.3.5.5 | Concluding remarks | 290 |
Chapter 7 | Design Methodology | 293 |
7.1 | Introductory remarks | 293 |
7.2 | A general design methodology | 295 |
7.3 | A design methodology for flat structures | 297 |
7.4 | Optimization of material and cross-section properties | 298 |
Chapter 8 | Design Examples | 305 |
8.1 | Presentation of case studies | 305 |
8.2 | Deployable flat slab | 305 |
8.3 | Deployable semi-circular arch | 309 |
8.4 | Airship cover | 310 |
8.5 | Temporary shelter | 314 |
8.6 | Deployable scaffolding | 317 |
| References | 321 |
| World Wide Web Sites of Related Interest | 349 |
| List of Figures and Figure Credits | 353 |
| Index | 363 |