首页|高层结构-混联Ⅱ型惯容阻尼耗能体系减震性分析

高层结构-混联Ⅱ型惯容阻尼耗能体系减震性分析

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针对高层结构中设置混联Ⅱ型惯容阻尼器组成耗能体系的随机响应分析复杂的问题,提出了结构位移及阻尼器阻尼力响应的封闭解,并基于所获得的封闭解探究了实模态振型数对分析精度的影响和在原结构层间位移超限楼层设置阻尼器能有效减震的布置策略.首先,根据混联Ⅱ型惯容阻尼器力学构造图及设置方式,建立阻尼器阻尼力与结构节点水平位移的微分型本构关系进而重构耗能体系的地震动方程.其次,利用实模态解耦法获得高层结构简明等效的动力学参数,运用功率谱二次式分解法推导出结构节点相对于地面的绝对位移、竖向构件层间位移及阻尼器阻尼力等响应的功率谱精确二次式解进而推导出耗能体系基于双过滤白噪声激励下系列响应的0～2阶谱矩简明封闭解.最后,通过算例,验证了所提封闭解的正确性;研究了实模态振型数对系列响应谱矩分析精度的影响和阻尼器设置位置对结构减震效果的影响.研究表明:对于多自由度结构响应分析时,建议采用原结构自由振动分析时质量参与系数累计达100％时所对应的振型数,可获得稳定的精度和提高大型复杂结构设置混联Ⅱ型惯容阻尼器的响应的分析效率;通过在原结构层间位移超限楼层或连续多层层间位移超限的楼层中间隔一层设置参数合适的混联Ⅱ型惯容阻尼器可有效降低结构的地震动响应,所提惯容阻尼器设置策略具有较好的经济性.所提解析解和惯容系统在高层结构的设置策略可为混联Ⅱ型惯容阻尼器在实际工程应用中提供有益的参考价值.
Investigation on anti-seismic performance of energy dissipation system composed of high-rise structure and series-parallel layout Ⅱ inerter dampers
Aim at the complexity of response analysis methods for energy dissipation systems composed of series-parallel layout Ⅱ inerter dampers (SPID-Ⅱs) in high-rise structures under random excitation,closed-form solutions for structural displacements and damping force response of SPID-Ⅱs are proposed.Based on the proposed solutions,the influence of real mode number on analysis accuracy was studied,and the feasibility of the layout strategy of SPID-Ⅱs installed on floors with interlayer displacement exceeding the limit of the main structure was explored.Firstly,based on the mechanical construction diagram of SPID-Ⅱ and its setting method between adjacent floors in structures,a differential constitutive relationship between the damper damping force of SPID-Ⅱ and the horizontal displacement of structural nodes was established,and the coupled seismic motion equation of the high-rise building and SPID-Ⅱ was reconstructed.Secondly,the real mode decoupling method is used to obtain the concise equivalent dynamic parameters of high-rise structures,and the power spectrum quadratic decomposition method is applied to energy dissipation systems to derive the accurate quadratic solutions of the power spectrum of a series of responses such as the absolute displacement of high-rise structure nodes relative to the ground,interlayer displacements of vertical components of the high-rise structure and damping force of SPID-Ⅱs.Then,a concise closed-form solutions of the 0-2nd order spectral moments of those design parameters of the energy dissipation system subjected to random seismic excitation modelled by double filtered white noise were derived.Finally,the correctness of the method proposed in this paper was verified through numerical examples,and the influence of the number of real mode shapes on the accuracy of energy dissipation system design parameter analysis was studied,as well as the influence of the position of inertial dampers on the seismic reduction effect.Results shows that for the response analysis of multi-degree of freedom energy dissipation structures,it is recommended to use the number of vibration modes corresponding to the cumulative mass participation coefficient reaching 100％ in the original structural free vibration analysis,which can achieve stable accuracy and improve the analysis efficiency of energy dissipation systems with SPID-Ⅱs installed in large and complex high-rise structures.The proposed strategy for setting SPID-Ⅱs with appropriate mechanical parameters can effectively reduce the seismic response of high-rise structures by placing a SPID-Ⅱ in the floor where interlayer displacement of the original structure exceeds the limit or in the middle floor between three adjacent floors where interlayer displacements of the original structure exceed the limit.The proposed closed-form solutions method and the layout strategy of SPID-Ⅱs in high-rise building can provide useful reference value for the practical engineering application of SPID-Ⅱs.

series-parallel layout Ⅱ inerter damperquadratic decomposition method of power spectral density functionclosed-form solutionnumber of real mode shapesdamper setting strategy

王晓琳、王善库、葛新广、王昌盛

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信阳职业技术学院 建筑工程学院,河南 信阳464000

柳州工学院 土木建筑学院,广西 柳州545004

黄淮学院 建筑工程学院,河南 驻马店463000

混联II型惯容阻尼器 功率谱二次式分解法 封闭解 实模态振型数 阻尼器设置策略

河南省科技攻关项目河南省高等学校重点科研项目

24210232003022B560008

2024

10.13197/j.eeed.2024.0517

地震工程与工程振动
中国力学学会 中国地震局工程力学研究所

地震工程与工程振动

CSTPCD北大核心
影响因子：0.658
ISSN：1000-1301
年,卷(期)：2024.44(5)