地震作用下高位层间隔震体系参数优化设计

对地震作用下高位层间隔震体系中隔震支座参数的优化设计进行了研究。通过两自由度体系近似模拟多自由度结构层间隔震体系，将地震波简化为白噪声，优化目标为使层间隔震上部与下部结构频域振动能量和最小，推导了隔震支座优化参数的理论表达式，隔震支座的优化刚度系数和阻尼系数与上部和下部结构的质量比密切相关。在数值算例中，通过比较过滤白噪声激励下多自由度体系中的隔震支座参数化研究结果和两自由度体系理论结果，发现二者吻合良好；实际地震波记录激励下多自由度结构体系的响应与两自由度体系的响应规律一致。研究结果表明，多自由度结构高位层间隔震体系的隔震支座优化参数可基于理论表达式得出，可为高位层间隔震体系的初步设计提供参考。

Parameter optimization design of high position story isolated structure subjected to earthquake

The parameter of isolator used in high position story isolated structure under earthquake is optimized. The multi-degree of freedom system is modeled by two degree of freedom system for the story isolated structure, and the ground motion is represented by white-noise excitation. The optimization target is to minimize the sum of vibration energy in frequency domain of the higher and lower structures in the story isolated structure system. The explicit expression of optimal stiffness coefficient and damping coefficient of isolator derived. The theory expression demonstrated that the optimal stiffness coefficient and damping coefficient of the isolator is closely related to the mass ratio of the higher structure to the lower structure. In the numerical example, using the Kanai-Tajimi filtered white-noise ground motion model, the appropriate parameters of isolator are achieved through extensive parametric studies firstly. Then, through comparative study, it can be found that the results of parametric studies are consistent with the optimal theoretical values of isolator obtained by means of theory expressions. While the structure excited by actual earthquake records, the seismic response of structures are coincided with each other for multi degree of freedom system and two degree of freedom system. The results show that the explicit formulas of isolator can help engineers in application of high position story isolated structures.