STOCHASTIC SEISMIC RESPONSE AND DESIGN OF STRUCTURAL SYSTEM WITH SERIES-PARALLEL-II INERTER SYSTEM

In order to comprehend the response mitigation mechanism of a specified inerter system named series-parallel-Ⅱ inerter system (SPIS-Ⅱ), the response variation trends for a single-degree-of-freedom (SDOF) system with SPIS-Ⅱ are studied and the parametric optimal design method is proposed. The mathematical expressions of frequency-domain response transfer functions and root-mean-square random responses of a SDOF system with SPIS-Ⅱ are derived based on the equations of motion and theories in random vibration. Then the response variation trends of a SDOF system with SPIS-Ⅱ are investigated by adopting Kanai-Tajimi's spectrum as a seismic input model along with the change of key parameters of seismic ground motion and SPIS-Ⅱ. Based on parametric studies, a practical optimal design method of a SDOF system with SPIS-Ⅱ is proposed. For this method, seismic performance demand is taken as the design target and response control, cost minimization, and spectral properties of seismic excitations are all considered during design. Finally, a computer program is developed according to the proposed method to conduct design examples, and dynamic time-history analyses are also carried out. The results of example design and analysis prove the effectiveness of the proposed design method.