潘超, 张瑞甫, 王超, 逯静洲. 单自由度混联II型惯容减震体系的随机地震响应与参数设计[J]. 工程力学, 2019, 36(1): 129-137,145. DOI: 10.6052/j.issn.1000-4750.2017.11.0809
引用本文: 潘超, 张瑞甫, 王超, 逯静洲. 单自由度混联II型惯容减震体系的随机地震响应与参数设计[J]. 工程力学, 2019, 36(1): 129-137,145. DOI: 10.6052/j.issn.1000-4750.2017.11.0809
PAN Chao, ZHANG Rui-fu, WANG Chao, LU Jing-zhou. STOCHASTIC SEISMIC RESPONSE AND DESIGN OF STRUCTURAL SYSTEM WITH SERIES-PARALLEL-II INERTER SYSTEM[J]. Engineering Mechanics, 2019, 36(1): 129-137,145. DOI: 10.6052/j.issn.1000-4750.2017.11.0809
Citation: PAN Chao, ZHANG Rui-fu, WANG Chao, LU Jing-zhou. STOCHASTIC SEISMIC RESPONSE AND DESIGN OF STRUCTURAL SYSTEM WITH SERIES-PARALLEL-II INERTER SYSTEM[J]. Engineering Mechanics, 2019, 36(1): 129-137,145. DOI: 10.6052/j.issn.1000-4750.2017.11.0809

单自由度混联II型惯容减震体系的随机地震响应与参数设计

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

  • 摘要: 为了解混联Ⅱ型惯容减震系统(SPIS-Ⅱ)的减震机理,该文对设置SPIS-Ⅱ的单自由度体系进行了随机地震响应变化规律的研究并提出了参数优化设计的方法。首先在体系运动微分方程的基础上,基于随机振动的理论和方法推导了SPIS-Ⅱ单自由度体系在地震作用下频域响应传递函数及随机响应均方根的表达式。接着以金井清谱为随机地震输入模型,基于随机响应表达式研究了地震动参数和SPIS-Ⅱ关键参数对单自由度体系响应变化规律的影响。然后在参数研究的基础上,提出了SPIS-Ⅱ单自由度体系在地震作用下的实用优化设计方法,该方法以性能需求为设计目标,可同时考虑响应与成本的控制以及输入地震动的频谱特征。最后根据所提出方法编制程序进行了一系列实例设计,并进行了动力时程分析验证,设计及分析的结果均证实了该文提出方法的有效性。

     

    Abstract: 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.

     

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