The Earthquake Response And Earthquake Action Calculation Of The Base-isolation Structures And The "Adding Story And Seismic Decrease" Structures

At present, the base-isolation structures and the "adding story and seismic decrease" structures (the TMD seismic decrease structures) are gradually applying in the projects, and some times the status of structure interaction with soil must be taken into account. In the action of dynamic load (e.g. earthquake and wind), because of the damping matrixes of all of this structures' motion equations are non-classical, even the mass and stiffness matrixes of them are non-symmetry. So, the dynamic equation can't be decoupled by the traditional real-mode analysis (the mode-superposition method). Though, in this thesis the complex-mode analysis is used to solve the stationary random earthquake response of structures and their analytic expressions are got. At the same time, with the theory of the complex-mode analysis, the earthquake action value of the non-classical damping and symmetry structure on base of response spectra is extended to commonly things, those are non-classical damping and non-symmetry structures, so receive the commonly method of the generalized non-classical structure earthquake action value of response spectra principium. The thesis includes the following content:1,For a Single-DOF second-order dynamic system, and a Two-DOF second-order dynamic system with non-classical damping and non-symmetry structures, the stationary analytic expressions of random earthquake response of the system are got by the use of the complex-mode analysis method base on three ameliorated Kanai-Tajimi model. The same for those much layer of shear form structure.2,For the base-isolation structures and the "adding story and seismic decrease" structures (the TMD seismic decrease structures), and the structure-soil interaction structure, the earthquake response is mainly the first-mode. So, only considering the first-mode response and including the isolation & seismic decrease equipment, then the system become a 2-DOF and second-order dynamic system that the damping is non-classical and the structure is non-symmetrical. Using the above method of Two-DOF second-order dynamic system, the analytic expressions of response are got base on three ameliorated Kanai-Tajimi model.3,At present, only the earthquake action value of the non-classical damping and symmetry structure have been studied all around the world, and a certain extent accomplishment are got. On base of this accomplishment, with the theory of complex-mode analysis , receive the way of earthquake action value of non-classical damping and non-symmetry structures, so the commonly method of the generalized non-classical structure earthquake action value of response spectra are got principium. In this paper, the above way is used to solve the base-isolation structures and the "adding story and seismic decrease" structures.