The Analysis Of Random Vibration,Optimum Design And Earthquake Antion Calculation Of Structures With Isolation,Roof Steel Tower And Parallel Structures

At present, the structures with base-isolation,roof steel tower and parallel structures have been applied extensively in the projects for their special use . According to the fact that under the action of dynamic load (e.g. earthquake and wind), the mass and stiffness matrixes of these structures' motion equations are non-symmetry,and damping matrixes of them sometimes are non-classical. So, the dynamic equation can't be decoupled by the traditional real modal analysis (the mode-superposition method). In this thesis the complex-mode method is used to solve the stationary random vibration,optimum design and the earthquake action calculation of these structures. The thesis includes the following contents:1,For the structures with base-isolation and roof steel tower,and the parallel structures with Viscoelastic Damper ,the complex modal analysis method is used to attain the random earthquake response of these structures on the Kanai-Jajimi spectrum.2,On the basis of the above analytic expressions, Taking the minumum response of structures as the optimal objective function, which is under the constraint of dynamic reliability of the equipment based on the type of Poisson, the optimal design parameters of structures with roof steel tower and base-isolation are attained by using complex method .3,The method of earthquake action calculation of structures with non-classical damping and non-symmetry on the design response spectrum is established by using the complex-mode method.This theory can be used to analyze the structures with base-islation,parallel structures and roof steel tower.