The Earthquake Response,Earthquake Action Value And Optimal Design Of The Passive-Controlled Structures

At present, the structures with TMD, FVD and isolated structures havebeen applied commonly in the projects. The effect of such structures have beenaccepted popularly by most people. According to the fact that under the action ofdynamic load (e.g. earthquake and wind), the mass and stiffness matrixes ofthese structures' motion equations are non-symmetry, and damping matrixes ofthem sometimes are non-classical. So, the dynamic equation can't be decoupledby the traditional real-mcode analysis (the mode-superposition method). In thisthesis the complex-mode method is used to solve the stationary randomearthquake response, the. earthquake action value and the optimal design ofstructures.The thesis includes the following contents:1,For the structures with horizontal rigid outriggers and TMD, and theisolated bridges and also the structures with Maxwell dampers,the complexmode method is used to analysis these structures, the earthquake responsesbased on the Kanai-Tajimi spectrum are attained. In the thesis,for theisolated-bridges, the non-linear dynamic equations are firstly established. Then,according to the theory of non-linear random viberation, the equation can betransformed into a linear equation. And the complex mode method is used todisconnect the equations.Then the nonlinear random responses are attained.2,Nowadays, only the earthquake action value of the structure withclassical damping and symmetrical mass and stiffness has been studied all around the world, and some accomplishment are got. On the base of thisaccomplishment and the theory of complex-mode method,the earthquake actionvalue, based on the design spectrum, of structures with non-classical dampingand non-symmetry, are studied systematically in this thesis.This theory can beused to analyze the structures with TMD, Maxwell damper, or isolated-stuctrues.3,Taking the isolation or seismic decrease coefficient (the ratio of thestandard deviation of the response of structures) as the optimal objectivefunction, which is under the constraint of dynamic reliability of the TMD andthe isolated equipment, the optimal design parameters of TMD and theisolate-equipment are attained.