减震结构多目标性能曲线的设计及应用
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1.南京工业大学 土木工程学院,南京 211816;2.上海交通大学 后勤保障中心,上海 200240

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E-mail: ddshy@163.comE-mail: ddshy@163.com

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DESIGN AND APPLICATION OF MULTI-OBJECTIVE PERFORMANCE CURVE OF STRUCTURES WITH ENERGY DESSIPATING DEVICES
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1.College of Civil Engineering,Nanjing Technology University,Nanjing 211816,China;2.Shanghai Jiaotong University,Shanghai 200240,China

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    摘要:

    减震性能曲线用于调整阻尼比不同于结构固有阻尼比时的地震响应,它对减震结构的简化设计与分析具有重要意义.本文首先推导出了单质点体系在简谐激励位移减震率ηd与加速度减震率ηa的解析表达式,分析表明在各种激励频率下,ηd随阻尼比增大而减小,但ηa在一定激励频率范围会出现随阻尼比增大、再减小,而后又增大的现象.该现象可以揭示为何有些地震激励下减震结构的加速度和地震剪力会增大的现象;减震率在共振点处取得最小值,且结构自振周期值离共振点越近减震率越小,即增加阻尼比对结构的减效果就越好;在解析解结果的基础对地震波的减震性能曲线进行分析,并设计出了双目标的性能曲线函数.最后,利用算例验证了所得性能曲线在实际工程应用中的可行性和准确性.

    Abstract:

    Damping performance curve is used to adjust the seismic response of structures with damping ratio different from the natural damping ratio, which is of great significance to simplified design and analysis of the structures with energy dissipating devices. In this paper, two performance curve parameters, namely the displacement damping rate ηd and acceleration shock absorption rate ηa, of the SDOF system under harmonic excitation with different natural periods were calculated respectively. The results showed that the ηd decreases with the increase of damping ratio under any natural periods; ηa also decreases with the increase of damping ratio in a short natural period, but increases in a long natural period; Both coefficients reached the minimum value at the resonance point. Moreover, the damping ratio decreases as the natural period close to the resonance point. Based on the results of the analytical solution, comparison and analysis were conducted for several famous seismic waves and the corresponding shock absorption performance curve was obtained, which was verified with the results obtained from time history analysis. Since the frequency components of simple harmonic wave are manifold, ηa tended to increase with the decrease of the damping ratio, which can be used to explain the structural seismic response law and theoretical reasons of the high damping and long period. In the end, an example is presented to verify the feasibility of the performance curve in practical engineering.

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杜东升,张云龙,李威威,万卓明,金骥.减震结构多目标性能曲线的设计及应用[J].动力学与控制学报,2020,18(5):13~21; Du Dongsheng, Zhang Yunlong, Li Weiwei, Wan Zhuoming, Jin Ji. DESIGN AND APPLICATION OF MULTI-OBJECTIVE PERFORMANCE CURVE OF STRUCTURES WITH ENERGY DESSIPATING DEVICES[J]. Journal of Dynamics and Control,2020,18(5):13-21.

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  • 收稿日期:2019-08-25
  • 最后修改日期:2020-01-10
  • 录用日期:2020-09-29
  • 在线发布日期: 2020-11-24
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