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Nonlinear Analysis and Design of Tensile Membrane Structures : 막구조의 비선형 해석과 설계기술에 관한 연구

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dc.contributor.advisor강현구-
dc.contributor.authorMarta Gil Pérez-
dc.date.accessioned2017-07-14T03:57:55Z-
dc.date.available2017-07-14T03:57:55Z-
dc.date.issued2015-02-
dc.identifier.other000000025208-
dc.identifier.urihttps://hdl.handle.net/10371/124075-
dc.description학위논문 (석사)-- 서울대학교 대학원 : 건축학과, 2015. 2. 강현구.-
dc.description.abstractMembrane structures are one of spatial structures that allow for long span and light weight roofs. In many cases, the membrane roofs are supported with trusses or mats and prestressed together with cables to obtain a resistant shape for a given loading condition. For the design of membrane structures, nonlinear analysis is required.
Besides, modeling of each membrane element and form-finding of the shape are of great importance in the design process. First, an equilibrium-finding analysis is conducted for the purpose of obtaining the optimal shape of the membrane structure, during which the initial stresses of the membrane and cables must be balanced. Next, the stress-deformation analysis is performed for the required loading condition. This analysis allows understanding the behavior of the structure and confirms that the design of the membrane satisfies the required safety factor for the construction.

In this research, a broad definition and explanation about spatial structures and in particular membranes are given. Then, the detailed procedure for the design and analysis of those is introduced with a complete explanation of the modeling and conditions to be considered. For a better understanding, two case studies are introduced and described where each step for the modeling, design and analysis is illustrated.

At the last part of this thesis, a parametric study on barrel vault shaped membranes is described. In this part, firstly regular membrane panels supported between arches are analyzed, leading to the development of a safe design aid for this type of membranes. Secondly, by adding one grade of irregularity, curved and inclined membrane barrel vault shaped panels are also studied, resulting on a similar safe design combination graph for each of this kind of panels. Finally, by the use of these design charts, simple design examples are illustrated to show the application of this study.		-
dc.description.tableofcontentsAbstract i
Acknowledgements iii
Table of Contents v
Figures xiii
Tables xxiii
Notations xxv
Cable element stiffness equation notations xxv
Membrane element stiffness equation notations xxix
Barrel vault shaped membranes notations xxxvi
Chapter 1. Introduction 1
Chapter 2. Review of Spatial and Tensile Structures 7
2.1. Spatial structure classification 7
2.1.1. Classification by structural system 7
2.1.1.1. Form-active structural systems 9
2.1.1.2. Vector-active structural systems 10
2.1.1.3. Surface-active structural systems 11
2.1.2. Spatial structures synthesized classification 12
2.1.2.1. Hybrid structures 14
2.2. Environmentally compatible aspects of spatial structures 17
2.3. Historical development of tensile structures 20
2.3.1. Frei Otto and the natural forms 22
2.3.1.1. The four-point tent 24
2.3.1.2. The Peak tent 25
2.3.1.3. The arched tent 26
2.3.1.4. The hump tent 27
2.3.1.5. Hybrids and variations 28
2.3.1.6. Olympic Stadium, Munich, Germany 28
2.3.2. Horst Berger 29
2.3.2.1. Inefficient solutions 30
2.3.2.2. Point-supported structures 31
2.3.2.3. A-frame supported structures 32
2.3.2.4. Arch-supported structures 33
2.3.3. Recent constructions 34
Chapter 3. Design Considerations for Tensile Structures 37
3.1. Tensile structures characteristics and properties 37
3.1.1. Tensile basic forms characteristics 39
3.1.1.1. Types of curvature 40
3.1.1.2. Types of anticlastic shapes 41
3.1.2. Fabric material properties 43
3.2. Design procedure of tensile structures 46
3.2.1. Form-finding analysis 50
3.2.1.1. Dynamic relaxation 53
3.2.1.2. Force density method 54
3.2.1.3. Nonlinear finite element method 55
3.2.2. Stress-deformation analysis 56
3.2.3. Patterning and construction 58
3.3. Loading conditions and safety approach 59
3.3.1. Loads and load combinations 61
3.3.1.1. Prestress 61
3.3.1.2. Self-weight 64
3.3.1.3. Wind 64
3.3.1.4. Snow 65
3.3.1.5. Temperature 66
3.3.1.6. Seismic 67
3.3.2. Safety factors 67
Chapter 4. Purpose of Research 71
Chapter 5. Development of Geometrically Nonlinear Finite Element Equations 73
5.1. Cable element equations 74
5.1.1. Coordinate system and displacement function 74
5.1.2. Displacement-strain relationship 75
5.1.3. Stress-strain relationship 76
5.1.4. Equation of equilibrium using the principle of virtual work 77
5.1.5. Coordinate transformation 79
5.1.6. Stiffness equation 81
5.1.7. Wrinkling of cable element 82
5.2. Membrane element equations 83
5.2.1. Shape function 83
5.2.2. Displacement-strain relationship 87
5.2.3. Stress-strain relationship 89
5.2.4. Equation of equilibrium using the principle of virtual work 90
5.2.5. Coordinate transformation and global stiffness equation 92
Chapter 6. Nonlinear Analysis and Modeling of Tensile Structures 97
6.1. Nonlinear Analysis of Spatial Structures program (NASS) 98
6.1.1. General chart 99
6.1.2. Element charts 103
6.1.3. Nonlinear analysis chart 110
6.1.4. Input and output data 115
6.1.5. Application examples 121
6.2. Modeling of membrane and cable elements 123
6.2.1. Fabric weave orientation 123
6.2.2. Nodes and elements 124
6.2.3. Material properties 125
6.2.4. Initial stresses 126
6.2.5. Loading conditions 127
Chapter 7. Case Studies 129
7.1. Seoul Southwestern Baseball Stadium dome 129
7.1.1. Membrane model 133
7.1.1.1. Models and panels for analysis 133
7.1.1.2. Material properties 135
7.1.1.3. Initial stress conditions 135
7.1.2. Form finding analysis 136
7.1.2.1. Initial stress balance 137
7.1.2.2. Perfect shape 139
7.1.3. Stress deformation analysis 140
7.1.3.1. Design loading cases 141
7.1.3.2. Displacement results of the deformed shape 141
7.1.3.3. Stress, deformed shape and safety factor 143
7.1.4. Conclusion 147
7.2. Jeju World Cup Stadium dome 148
7.2.1. Membrane model 151
7.2.1.1. Models and panels for the analysis 151
7.2.1.2. Material properties 153
7.2.1.3. Initial stress conditions 153
7.2.2. Analysis results 153
7.2.2.1. Design loading cases 154
7.2.2.2. Results of the deformed shape and displacements 155
7.2.2.3. Stress, deformed shape and safety factor 158
7.2.3. Conclusion 161
Chapter 8. Parametric Study and Design of Barrel Vault Shaped Membranes 163
8.1. Assumptions for the models 163
8.1.1. Material properties, loading conditions and initial stress 164
8.1.2. Maximum stress and safety factors 165
8.1.3. Barrel vault shaped membrane parameters for the study 166
8.1.3.1. Regular barrel vault shaped membranes 166
8.1.3.2. One grade of irregularity for barrel vault shaped membranes 168
8.1.4. Design and analysis procedure 169
8.1.4.1. Modeling of the panels for the analysis 170
8.2. Regular barrel vault shaped membranes 171
8.2.1. Arch curvature 171
8.2.1.1. Form-finding analysis for various arch curvatures 173
8.2.1.2. Stress-deformation analysis for various arch curvatures 176
8.2.2. Width 179
8.2.2.1. Form-finding analysis for various widths 179
8.2.2.2. Stress-deformation analysis for various widths 181
8.2.3. Arch scale 187
8.2.3.1. Form-finding and stress-deformation analysis for various arch scales 188
8.2.4. Parametric study for regular barrel vault shaped membranes 189
8.3. Curved barrel vault shaped membranes 191
8.3.1. Initial model design and analysis for curved panels 192
8.3.1.1. Comparison of a regular panel with 6 m width and a curved panel with the same width in the central section 195
8.3.1.2. New parameters defining curved panels 197
8.3.2. Analysis of curved panels with same width in the center and different opening angle 199
8.3.3. Analysis of curved panels with same arch curvature and different width in the center. 203
8.3.4. Parametric study for curved barrel vault shaped membranes 206
8.4. Inclined barrel vault shaped membranes 213
8.4.1. Parameters defining the inclined barrel vault shaped membranes 214
8.4.2. Analysis of inclined panels with same arch curvature and different inclination angle for two different widths 219
8.4.3. Analysis of inclined panels with same inclination angle and same width but different arch curvatures 227
8.4.4. Parametric study for inclined barrel vault shaped membranes 230
8.5. Design application examples 237
8.5.1. Regular barrel vault shaped membranes 237
8.5.1.1. Example 1: Regular panels for street market with low buildings 238
8.5.1.2. Example 2: Regular panels for street market with higher buildings 240
8.5.2. Curved barrel vault shaped membranes 242
8.5.2.1. Example 3: Regular and curved panels for irregular street market 243
8.5.2.2. Example 4: Regular and curved panels for a green walking path 244
8.5.3. Inclined barrel vault shaped membranes 245
8.5.3.1. Example 5: Regular and inclined panels for domed roofs 245
Chapter 9. Conclusion 249
References 257
Appendices 263		-
dc.formatapplication/pdf-
dc.format.extent69012443 bytes-
dc.format.mediumapplication/pdf-
dc.language.isoen-
dc.publisher서울대학교 대학원-
dc.subjectMembrane-
dc.subjectCable-
dc.subjectTensile Structures-
dc.subjectSpatial Structures-
dc.subjectNonlinear Analysis and Design-
dc.subjectForm-Finding-
dc.subjectStress-Deformation.-
dc.subject.ddc690-
dc.titleNonlinear Analysis and Design of Tensile Membrane Structures-
dc.title.alternative막구조의 비선형 해석과 설계기술에 관한 연구-
dc.typeThesis-
dc.description.degreeMaster-
dc.citation.pagesxxxvi, 329-
dc.contributor.affiliation공과대학 건축학과-
dc.date.awarded2015-02-
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