Nonlinear Static Analysis Methods Of Structures And Passive, Semi-Active Control

In this paper, nonlinear static analysis methods, structural dynamic time history analyses based on structural state equation in Hamilton system, multi-mode control theories of multiple tuned mass dampers, and semi active control laws of "on-off" are investigated. The main conclusions are as follows:a. Nonlinear static analysis methods are studied. The pushover analyses with some lateral load patterns, and evaluation of structural performance with two kinds of capacity-demand spectra based on both equivalent linear response spectrum and nonlinear response spectrum are analyzed and researched. The method that structures are pushed over with the lateral load pattern based on segmental equivalent linear SDOF system, and the performance of structures is evaluated with capacity-demand spectra based on segmental equivalent linear SDOF system is presented.b. Structural dynamic time history analyses based on structural state equation in Hamilton system are studied. The integral method via a scaling and squaring algorithm with the Pade approximation is presented. The three-stage Lobatto III A formula is applied to structural dynamic time history analysis. And the three-stage Lobatto â…¢A formula to use Hermite third order interpolations to solve interpolating middle input between two boundary points is present, which provides more accurate solutions.c. Multi-mode control of the seismic response of multistory structures with multiple tuned mass dampers (MTMD) is investigated. Based on the modes of the primary structure, the interaction between MTMD and the primary structure is elucidated. And complex inertia mass is presented, which clearly and briefly elucidate the interaction mechanism between MTMD and the primary structure. That the control of MTMD to the primary structure is acceleration-dependent passive control is presented. In the time domain and the frequency domain, the effects of the response of displacement and acceleration with both the single-mode control and the multi-mode control are analyzed. For the control of multistory structures with MTMD, the control effects of the response of bothdisplacement of structure and acceleration are good. And multi-mode control is superior to single-mode control. For analysis precision, considering coupling modes is superior to doing uncoupling modes. For shearing model, analysis results with uncoupling are satisfied to engineering demand.d. Three semi-active control algorithms based on energy absorbed, kinetic energy, and energy of deformation of buildings are investigated. In physics coordinate, both the dynamic characteristics of buildings controlled and the effects of semi-active control using them are studied. The choices of parameters of control devices are studied. They are illustrated using a building. The semi-active controls using them can reduce the response of displacement of buildings effectively. The effects of shocking absorption are good to stochastic earthquake excitation. And parameters of control devices are in reason. The algorithm based on energy of deformation of buildings is better than the others.e. Three hysteretic combination models are deduced, each of which is respectively composed of two of three simple hysteretic models such as bilinear model, degenerating bilinear model, and bilinear elasto-plastic hysteretic model. The hysteretic combination models can simulate complicated hysteretic rules.