| The shear wall structures supported on frames originated in the 1930s. It is a complex tall building structure for its asymmetric vertical rigidity. It is shown that its earthquake-resistance capability is inferior from many earthquake damage researches, but it is still widely applied in many countries, especially in China, since its superior architectural function. The mechanical properties and modified measures of the shear wall structures supported on frames are put forward successively as the research going on. Today there are still a lot of problems to be solved, and it is necessary to make an investigation on this structure. This doctoral thesis is arranged as followings:(1) According to the different force transfer mechanism near the transfer story, the analytical modeles of the shear wall structures supported on frames and the tube structures with transfer story under the dead horizontal actions are put forward by the substructure method. Some factores of influencing on the structural distortion and force action are discussed also, such as the height of the transfer story, the shear wall types, and the rigidity of the shear wall linked with ground.(2) The shear wall structure supported on frames is predigested as an equivalent cantilever bar. The asymmetric vertical rigidity of the whole structure is displayed by the rigidity of the equivalent cantilever bar. By the flexibility matrix method, a simplified model is set up for the structure free vibration calculation. It is accurate and convenient enough for use.(3) The whole structure is divided into shear wall structure above transfer story and frame-shear wall structure under transfer story two substructures. A new formula for calculating story rigidity is introduced, which can consider the frames and shear walls anti-lateral rigidity at the same time. A calculation method of torsion effect in shear wall structures supported on frames is set up. It is shown that the concept of the developed rigidity model is clear and the results are exact, which can be very useful for reference during calculating the appreciative torsion effect.(4) Using the concept of ratio of equivalent lateral rigidity, the formulas and value ranges are deduced for two new parameters, which are the ratio of equivalent torsional rigidity of the stories above the transform to the below, and the ratio of equivalent story-drift of the stories above the transform to the below. The two parameters can control the mutations of the structural torsional angle, the ratio of story-drift and the shear force effectively.(5) Some formulae of the optimal rigidity of the shear wall linked with ground are deduced strictly from the controls of resistance to shear force and the maximum ratio of the bottom floor sideway to the height. The value ranges of the optimal rigidity of the shear wall linked with ground is given by the maximum ratio of sideway to height of the bottom floor under earthquake actions, the ratio of equivalent lateral rigidity and the ratio of equivalent story-drift of the stories above the transform to the below.(6) The model of fuzzy comprehensive evaluative on the optimal rigidity of shear wall linked with the ground is presented. It can take various influencing factors into account roundly, such as torsion and the ratio of shear to weight, which can not be considered directly by other ways. So the model is more reasonable for judging the optimal rigidity of the shear wall linked with ground.(7) The whole structure is divided into shear wall structure above transfer story and frame-shear wall structure under the transfer story two substructures, and the floors are regarded as horizontal deep beams. Fully considering the types of transfer story and shear wall, the element rigidity matrix of each substructure can be set up by using super finite element method. Finally, the structural dynamic analysis with damp is carried out by dynamic substructure method.(8) According to the experimental results and the parameter analyze of the formula for torsion rigidity, the various the factors of influencing on torsion rigidity are discussed, such as the ratio of axial compressive force to axial compressive ultimate capacity of section, the eccentricity, the ratio of shear to torsion, and the ratio of moment to torsion. The degradation graph of torsion rigidity is given by the known experiments, which can be used for inelastic torsional analysis of the tall building structures.
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