Contents & References of Increasing the ductility of coaxial braced frames by using low yield stress steel in the braces
Chapter One - General. 1
1-1- Introduction. 2
1-2- Goal. 7
1-3- Research method. 7
1-4- Research stages. 7
1-5- Description of seasons. 8
The second chapter – Technical literature review and past studies. 9
2-1- Introduction. 10
2-2- Checking seismic parameters. 11
2-2-1- The equation of dynamic movement under the effect of earthquake force (linear material behavior) 11
2-2-2- The equation of dynamic movement under the effect of earthquake force (non-linear material behavior) 13
2-2-3- Depreciated energy. 14
2-3- The concept of non-linearity of materials and structural behavior. 16
2-3-1 Investigation of steel behavior. 16
2-3-1-1- Linear and non-linear behavior 16
2-3-1-2- Steel behavior in reciprocating loads (hysteresis curve) 17
2-3-1-3- Bushinger effect 18
2-3-2- The concept of non-linearity of structural behavior and ductility. 19
2-3-3- Difficulty. 20
2-3-4- Conventional models to model the nonlinear behavior of the structure. 22
2-3-4-1- two-line model 22
2-3-4-1-1 two-line elasto-plastic 22
2-3-4-1-2 two-line with strain hardening 22
2-3-4-1-3- two-line with strain softening 23
2-3-4-2- three-line model 23
2-4- phenomenon of instability. 24
2-4-1- Critical load of the compression member of the two ends of the joint. 24
2-4-2- Inelastic instability of compression member. 26
2-4-3- Cylindrical thin wall sections under compressive axial load. 27
2-5- Criteria of failure in structures 31
2-5-1- Maximum shear stress theory. 31
2-5-2- Theory of maximum shear energy. 33
2-5-3- Theory of maximum vertical stress. 34
2-6- Past studies. 36
2-6-1- Introduction. 36
2-6-2- coaxial braces with friction joints. 36
2-6-2-1- Introduction 36
2-6-2-2- Pall friction damper system 38
2-6-2-3- Popov SBC friction connection 39
2-6-2-4- SBJ(Slotted Bolted Connection) friction connection 40
2-6-2-5- Connection Friction FDD (Friction Damper Device) 41
2-6-2-6- FBP (Friction Brake Pad) friction connection 42
2-6-3- Sheathed braces. 43
2-6-3-1- Introduction 43
2-6-3-2- Veter and Rezaian steel swing buckling strap restraint 44
2-6-3-3- Arbabi and Karimi sheathed strap restraint 44
2-6-3-3- Kim&Park full steel swing buckling strap restraint 48
2-6-3-4- steel warp buckling restraint Mazzolani et al. 49
2-6-3-5- Korzekwa steel swing buckling brace & Tremblay. 50
2-6-4- concentric braces connected to a formable element. 52
2-6-4-1- Introduction 52
2-6-4-2- KBF (Knee Braced Frame) knee braces 53
2-6-4-3- Cross braces with a malleable middle member 54
2-6-4-4- EBF divergent braces 55
2-6-4-4-1- Shurn braces with vertical malleable member 55
The third chapter – Software verification. 56
3-1- Introduction. 57
3-2- Verification based on block work. 57
3-3- Calculating the amount of displacement of the maximum beam with concentrated load. 60
Chapter Four – Analytical study of the ring. 61
4-1- Introduction. 62
4-2 Force relations and change of ring location. 62
4-3- Analytical study of steel ring 64
4-4 Analytical study of a ring made of low yield stress steel in a one-span frame. 74
4-5- Comparing the analytical results of the ring made of low yield stress steel with the results of the ring made of conventional steel. 81
4-5-1- Comparison of ductility coefficient. 81
4-5-2-Comparison of the energy ratio of the last inelastic cycle to the last elastic cycle. 82
4-5-3- Comparison of average absorbed energy in each inelastic loading cycle. 83
4-5-4- Comparison of absorbed energy during the entire loading cycle. 84
The fifth chapter – Analytical study of axial fusion. 85
5-1- Introduction. 86
5-2- Analytical study of low yield stress steel pipe. 86
5-3- Analytical study of aluminum tube. 93
5-4- Conclusion. 93
103. Chapter Six - Conclusions and Suggestions
References. 106