| At present, the base-isolation structures and the "adding story and seismic decrease" structures (ASSD) 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-mcode analysis (the mode-superposition method). Though, in this thesis the complex-mode analysis is used to solve the stationary random earthquake response, optimum design and earthquake action calculation of structures. The thesis includes the following content:1, For the base-isolation structures and the "adding story and seismic decrease" structures (the TMD seismic decrease structures), and the structure-soil interaction structure, using the complex-mode analysis, the earthquake responses of the above structures are got base on Clough-Penzien spectrum. In the thesis for "adding story and seismic decrease" structures, the nonlinear random vibration is got.2, On the basis of the above analytic expressions, taking the isolation or seismic decrease coefficient (the ratio of the standard deviation of the response of structures ) as the optimal objective function, under the constraint of dynamic... |