Buckling and post-buckling analysis of shells of revolution with positive and negative Gaussian curvature Rozprawy Nr 530

Abstract 5
Symbolic notation 6
Preface 7
1. Introduction 9
1.1. Shells as structural elements 9
1.2. Geometry of a shell of revolution 10
1.3. Structural stability 12
1.4. Possibility of stabilisation of the post-buckling behaviour 14
1.5. FE method in the stability analysis of shells 16
2. State of the art – literature review 19
2.1. Layout of the review 19
2.2. Buckling of doubly-curved shells 19
2.3. Post-buckling analysis of doubly-curved shells 27
2.4. Finite element method in stability analysis 29
3. Buckling behaviour of barrelled shells under various types of load 31
3.1. Geometry and FE model of the shell 31
3.2. External pressure 33
3.3. Axial compression 35
3.4. Pure bending 37
3.5. Torsion 38
4. Stability and post-buckling behaviour of single-layer barrelled shells under external pressure 41
4.1. Scope of the investigation 41
4.2. Geometry and FE model of the shell 41
4.3. Buckling shapes and buckling loads 43
4.3.1. Shells with positive Gaussian curvature 43
4.3.2. Shells with negative Gaussian curvature 46
4.4. Post-buckling behaviour of barrelled shells 49
4.4.1. General remarks 49
4.4.2. Shells with positive Gaussian curvature 50
4.4.3. Shells with negative Gaussian curvature 51
4.4.4. Imperfection sensitivity of barrelled shells 54
5. Stability of sandwich barrelled shells of constant thickness 57
5.1. Applications and properties of sandwich shells 57
5.2. Geometry and FE model of a sandwich barrelled shell of constant thickness 58
5.3. Shells with positive Gaussian curvature 60
5.4. Shells with negative Gaussian curvature 63
6. Stability of sandwich barrelled shells of variable thickness 67
6.1. Shells of variable thickness 67
6.2. Geometry and FE model of a sandwich barrelled shell of variable thickness 68
6.3. Shells with positive Gaussian curvature 71
6.4. Shells with negative Gaussian curvature 74
7. Final remarks 79
7.1. Summary of results 79
7.2. Perspectives of further investigation 80
Bibliography 83
Streszczenie 97