结构非线性振动及其控制系统的等效力学模型研究

研究了结构非线性振动及其控制系统的等效力学模型建立问题，对结构进行等效线性化处理；对状态变量的观测，仅测量结构的前几个位移。将随机激励和观测噪声等维化处理后，导出了结构非线性振动及其控制系统的等效力学模型。通过等效力学模型的应用研究，得出了多高层结构在风与地震作用下的多维与一维等效力学模型、等效振型力学模型及其线性力学模型，给出了等效力学模型在多高层结构自适应抗风抗震控制中的应用。

Study on the equivalent mechanical model of the structural nonlinear vibration and control systems

The equivalent mechanical model of the structural nonlinear vibration and control systems was studied in this paper. The equivalent linearization was made for the nonlinear vabration structures. The first few displacements of the structures can be measured. Next, the equivalent mechanical model was developed after making the dimension of the stochastic excitation and the observation noise equal. Through investigation on application of the model, the multi and one dimension equivalent mechanical models, the equivalent modal mechanical that and the linear mechanical that of the multi and tall story structures subjected to earthquake or wind were obtained, respectively. Eventually, the application of the model in adaptive control of the multi and tall story structures under earthquake and wind was given.