| Cable dome is a particular flexible structure made up of cable-strut-beam and membrane. It has features large span capacity, lightweight, simple form, low cost and short construction period. Geiger cable dome is the earliest cable dome used in large span roof and attracted extensive researches since its appearance. In this thesis, a new non-fully symmetry cable dome, the Cut-corner square Geiger cable dome, is developed comprehensively. Accordingly, the basic inter-disciplinary theoretic algorithm and structural characteristics are researched for the cable dome, and further for the particular performance investigation of non-fully symmetry cable dome.Kinematically and statically analysis is essential to understand the nature of the flexible structural assembly. It is to evaluate the structure which can be pre-stressed or not, which way is effective and efficient. In chapter 2, a kinematically and statically analysis procedures is developed for the cable-strut-beam analytic system, and firstly evaluate the kinematically and statically properties for the cable dome in the way. Firstly, the equilibrium equation is established for the cable-strut-beam structure. The self-stress modes and the mechanism modes thus are obtained through the SVD of equilibrium matrix, and that the assembly can be pre-stressed or not can be evaluated accordingly. Secondly, the self-stress modes can be detected by column-pivotal Gaussian elimination method. The results clarify which way to pre-stress the structure effectively. Thirdly, column-pivotal the inner product of the self-stress mode is firstly put forward to evaluate the pre-stress efficiency, vector of the approach is also established, and used to judge the performance of cable dome. In Chapter 3, a complex form-finding procedure is established for the cable-strut-beam-membrane structure. This method consist three steps, the initial pre-stress distribution of the cable-strut model, the force-finding analysis of the integrated cable-strut-membrane structure and the form-finding analysis of the integrated cable-strut-beam-membrane structure. Based on the proposed method, a Matlab program is developed and the integrated form-finding analysis is carried out for the Cut-corner square Geiger cable dome.In this chapter, a new method is presented for the calculation of initial pre-stress of cable-strut assembly. This method is based on the linear adjustment theory without considering the material behavior. And a linear iterative procedure is employed to calculate the initial pre-stress. This can reduce computation time greatly, and overcome the identification difficulty of multi-self-stress mode.Chapter 4, the static structural performances are studied thoroughly with parametric and comprehensive analytical model for the Cut-corner square Geiger cable dome. The analysis works include the structural characteristics of the cable-strut-beam analytical model and the cable-strut-beam-membrane analytical model applied fully loading and partial loading; the structural influence of the valley cables; and the lateral stable characteristics of the cable-strut-beam-membrane structure subjected to non-symmetry load. The results indicate the membrane and pre-stress level play great roles in the structural performance of the cable dome, so these structural effects must be fully considered in practical design.Chapter 5, the natural vibration analysis is performed for the cable-strut-beam system, the cable membrane structure and the cable-strut-beam-membrane structure. These results show that the overall stiffness of the cable dome depends mostly on the cable-strut-beam system and its pre-stress level. The membrane and valley cables can effectively improve the overall stiffness and remove the local rotation of the cable-strut assembly, but the overall rotation stiffness is still rather low. The pre-stress of the membrane can effectively improve the local fabric stiffness, but has little effects on the overall stiffness of the cable-strut system.Next, based on linear filter Auto-Regressive (abbriavated for AR) method, a program is developed to simulate the pulse wind applied on the cable dome. And the nonlinear dynamic structural response analysis is carried out for the Cut-corner square Geiger cable dome. The results indicate that the wind vibration effects on the cable dome are great and complex.Chapter 6, the analytical model of the Type-I extreme value distribution is firstly proposed for the maximum value of the manufacture errors of the cable length which are according to the average error of the domestic cable manufacture industry specifications. Using this model, the effects on the structural performances are mainly evaluated for three cable domes, the Cut-corner square Geiger cable dome, the classical cable dome and the rib-hoop cable dome, due to the manufacture errors of the cables. The variations of the cable tension of three cable dome are found and the sensitive cables to the manufacture errors are also obtained. Meanwhile, the effects of the effective sectional area and elastic module (herein using the multiplication of the cable stiffness EA) of the cables are also taken into account. The works can provide valuable guideline to the manufacture and installation of the cable dome.Chapter 7, the nonlinear finite element method is employed to analyze the inverse construction simulation of the Cut-corner square Geiger cable dome. The whole lifting process can be realized by controlling the length of the positive constant force cables and the subsidiary cables, while the temperature load can simulate the variations of the cable length. In the whole process, the structure experience greatly configuration transformation from final equilibrium state to the hub reaching ground. All the structural units of structure are assembled on the floor, and this can prevent structural unit assemblage in the air and save construction time.At last, summary conclusions are made accordingly in the context and the future works are also put forward.
|
PDF Full Text Request