基于HHT变换瞬时能量谱的长周期结构地震反应分析

基于HHT变换得到瞬时能量谱,并以简谐地震反应为理论基础进行多自由度体系在地震动作用下的瞬态反应计算。通过对一个长周期(十五层)结构工程实例的地震瞬态反应计算分析,揭示长周期结构有别于短周期结构动力响应的独特特性:长周期结构位移响应的瞬时能量峰值的时间滞后于地震动能量峰值的时间,且主要受到瞬态振动的控制,并以低阶振型的控制为主,第一阶振型峰值位移滞后的时间最长,滞后的时间主要取决于结构的第一阶自振周期。研究结果表明,长周期结构在强烈地震动作用下,地震动强度出现的最大时刻并不总是对应于结构破环与倒塌的时间。     

海上风电工程基础结构抗震性能研究

为了探讨海上风电工程基础与结构体系的抗震性能,采用ANSYS程序建立了三种基础型式的风电塔架结构数值模型,先采用振型分解反应谱法计算了结构的地震响应,进而分别将传统地震动和最不利地震动作为输入地震动,分析了三种基础结构体系的最大地震响应。结果显示:风电结构属典型的长周期结构,基础型式对结构的振动周期影响明显,单立柱桩式结构振动周期最长,八桩承台结构振动周期最短。地震作用下,单立柱桩结构的顶端位移响应也最大;振型反应谱法与传统地震动作用下结构的响应满足现行建筑抗震规范的要求,但最不利地震作用下结构的位移响应偏大,不满足规范对位移的相关规定;组合三桩结构底部基础与结构连接处是应力集中区。海上风电工程结构抗震设计的重要性应引起充分重视。     

长周期地震动对广州塔TMD减震控制性能的影响

研究长周期地震动对广州塔TMD体系的影响及结构响应的时频分布规律。对国内现行规范反应谱长周期段进行延长,选取7条地震动时程记录,并补充7条长周期地震动时程记录作为输入样本,研究不同周期的强震激励对超高耸结构TMD体系的影响。研究表明,长周期成分的地震激励显著增加了超高耸结构的响应,卓越周期在2.341 s至6.425 s的长周期地震动输入,比卓越周期低于1 s的短周期地震动输入,平均使结构桅杆顶的位移峰值与均方根值分别放大125.49%和91.63%;最优参数设计的TMD对短周期、长周期地震响应均起减震控制作用,对8度长周期大震下主塔顶和桅杆顶的位移峰值控制降幅分别达到28.61%和42.69%,对相应的位移时程响应均方根值的控制降幅分别达到32.56%和44.20%, TMD体系的减震控制性能对地震动卓越周期具有一定鲁棒性;对结构弱轴向的地震响应时程进行数值小波功率谱分析,结果表明:由于一般长周期地震动的卓越周期更接近广州塔结构弱轴向的二阶周期(2.888 s),不仅增加了一阶振型的响应,更显著加剧了以二阶振型为主的桅杆鞭梢效应, TMD对该效应一定程度上起了抑制作用;建议对周期大于6 s的超高耸结构TMD体系,在按规范反应谱选取地震动之外,应注意考虑长周期地震动的影响,以更全面评估结构性能。     

长周期地震动参数与隔震结构响应参数的相关性研究

从Chi-Chi地震动数据中选取20条近场长周期地震记录和20条远场长周期地震记录,再从汶川地震渭河地震动数据中选取20条远场长周期地震记录作为输入,研究各个地震动记录相对应的地震动强度参数及其之间的相关性,筛选出了适合于长周期地震动的地震动强度指标,采用Pearson相关系数对筛选出的地震动强度指标与隔震体系的隔震层位移响应之间的相关性进行分析。结果表明:①在近、远场长周期地震动作用下,中长周期隔震结构的隔震层位移响应与频谱特征参数的相关性比较好,在进行中长周期隔震结构的抗震性能研究时,PGD、Sd_avg及DSI与隔震结构的相关性较好,地震动强度指标在集集近场建议选取PGD和Sd_avg,集集远场建议选取DSI和D/V,渭河远场建议选取Sd_avg和DSI;②在强相关范围内考虑相关性的高低,近场和远场的长周期地震动强度指标建议分别选取PGD和DSI。     

带加强层高层建筑直接基于位移的抗震设计(Ⅰ)——方法理论

带加强层高层、超高层建筑结构目益增多,针对此类结构提出合理的抗震设计方法十分必要.根据模态理论考虑高阶振型对结构反应的贡献,基于较成熟的多层结构直接基于位移的抗震设计理论,提出了带加强层高层建筑结构直接基于位移的抗震设计方法.方法根据模态理论将结构各个振型分别等效为单自由度体系,计算各单自由度体系的地震响应,进而以振型...     

地震动强度指标与隔震等效SDOF体系远场长周期地震位移响应的相关性研究

以远场长周期地震记录为输入,以隔震等效双线性SDOF体系为研究对象,研究了长周期地震强度指标与体系最大位移响应之间的相关性。首先,从太平洋地震工程研究中心(PEER)选取50条远场长周期地震记录作为输入,采用双线性力-位移关系曲线描述隔震支座的力学特性,根据生产厂家提供的支座参数确定体系的屈重比和支座的刚度比;其次,运用MATLAB进行编程求解,得到了与各地震记录对应的地震强度指标值和体系的最大位移响应;然后,采用Pearson方法对各地震强度指标与体系最大位移响应之间的相关性进行了统计研究。研究结果表明,远场长周期地震作用下,隔震结构的最大位移响应与加速度型指标和速度型指标的相关性较好,而与位移型指标的相关性最差;建议在进行隔震结构的抗震性能研究时,根据隔震前周期T1的取值范围选取Ic或PGV作为地震强度指标。     

结构系统地震动输入模式与相关问题的几点讨论

针对单自由度结构系统,定性讨论了一致地震动输入模式之间的关系、对体系响应的影响及相关问题.主要结论为:一致地震动输入的位移与加速度之间必须较好地满足运动学关系;宜采用位移输入模式计算长周期体系的地震响应;宜采用加速度输入模式计算短周期体系的地震响应.     

地震动反应谱与RC框架结构地震响应相关性分析

弹塑性时程分析一般用来评估和验算结构抗震性能,如何选取合适的输入地震动是其中关键工作之一。为给结构弹塑性时程分析选取地震动提供合理的参考参数,本文讨论了地震动反应谱参数与结构地震响应之间的相关性。首先建立了6层和7层两个钢筋混凝土(RC)框架结构数值模型,分别对两个结构进行了大量地震动作用下的时程反应分析,并考察了地震反应特点;然后将结构地震响应与地震动反应谱参数建立关系并进行了相关性分析。结果表明:对RC框架而言,结构地震响应与弹性谱参数相关性较小,与等强度反应谱相关性随标准屈服强度降低而增大,与等延性反应谱相关性随延性增大而增大,而与地震动输入能量谱在标准屈服强度较小时相关性最大。建议RC框架结构在进行地震反应时程分析时,可以参考地震动的弹塑性输入能量谱、等强度速度谱和等延性加速度或位移谱,以选取引起结构不同地震反应水平的输入地震动。本文结果和结论可供结构弹塑性时程分析选取合适的输入地震动参考。     

桩基结构地震动强度指标优化选取

为优化选取适用于评价桩基础地震响应的地震动强度指标,本文建立了简化的土-桩基-上部结构相互作用非线性有限元模型,选取70条地震动作为输入,研究了两类典型场地中不同基本周期上部结构所对应的桩基础的地震峰值响应,并选择桩基地表峰值位移作为结构地震响应需求指标。基于有效性、实用性和效益性三方面,对所选的14个地震动强度指标进行评价分析,分析结果表明:速度反应谱强度指标是评价桩基础结构地震响应的最优地震强度指标;位移型强度指标不适合评价该类结构的地震响应;结构基本周期谱加速度指标对于具有较长基本周期上部结构的桩基础适用性较差。     

弹性能量半径演化谱及其在多自由度体系地震反应计算中的应用

目前用于结构抗震设计的反应谱仅能反映峰值反应,无法体现反应值随时间的变化。文中提出一种弹性能量半径演化谱,可反映线性单自由度体系弹性能量(即动能与弹性势能之和)随地震持时的变化,且其峰值近似等于结构峰值位移。文中给出了利用地震动演化功率谱得到该演化谱的方法并进一步发展了一种计算线性多自由度体系地震位移反应的新方法。通过两座框架结构的地震反应计算,将新方法与传统振型组合法及时程分析法的计算结果进行对比,发现对于振型稀疏结构,新方法计算结果与SRSS法接近;而对于振型密集结构,新方法计算结果较CQC法更精确,且避免了CQC法相关系数的复杂计算。     

Key parameters governing the dynamic response of long-period structures

The present study describes the important factors (period, duration, and intensity) involved in evaluating input ground motion and structural response for the design of long-period structures such as high-rise buildings and base-isolated buildings. First, the fundamental dynamic properties of high-rise buildings are explained based on the results of newly introduced vibration observations programs. Next, the distribution of the predominant period and duration of seismic ground motion within the Nobi Plain, one of the largest sedimentary plains in Japan, is discussed with respect to the possibility of resonance of long-period structures. Finally, we introduce a recently developed long-stroke shaking table that is intended to convince structural engineers and building owners to take adequate countermeasures against large floor response in high-rise buildings because of resonance. Presented at the International Workshop on Long-Period Ground Motion Simulation and Velocity Structures Earthquake Research Institute, University of Tokyo, Tokyo, November 14–15, 2006.     

Effect of peak ground velocity on deformation demands for SDOF systems

The effect of peak ground velocity (PGV) on single‐degree‐of‐freedom (SDOF) deformation demands and for certain ground‐motion features is described by using a total of 60 soil site records with source‐to‐site distances less than 23 km and moment magnitudes between 5.5 and 7.6. The observations based on these records indicate that PGV correlates well with the earthquake magnitude and provides useful information about the ground‐motion frequency content and strong‐motion duration that can play a role on the seismic demand of structures. The statistical results computed from non‐linear response history analyses of different hysteretic models highlight that PGV correlates better with the deformation demands with respect to other ground motion intensity measures. The choice of PGV as ground motion intensity decreases the dispersion due to record‐to‐record variability of SDOF deformation demands, particularly in the short period range. The central tendencies of deformation demands are sensitive to PGV and they may vary considerably as a function of the hysteretic model and structural period. The results provided in this study suggest a consideration of PGV as a stable candidate for ground motion intensity measure in simplified seismic assessment methods that are used to estimate structural performance for earthquake hazard analysis. Copyright © 2005 John Wiley & Sons, Ltd.     

A spectral-velocity-based combination-type earthquake intensity measure for super high-rise buildings

A spectral-velocity-based combination-type ground motion intensity measure (IM), which is inspired by the superior sensitivity of spectral velocity to structural response compared with other two spectral quantities, is proposed for super high-rise building structures with the consideration of the characteristics of ground motions and structures themselves. Two super high-rise buildings with typical frame/core-tube/outrigger lateral resisting system and a wide range of structural height (H = 258 m~660 m) are deliberately selected to identify the correlation between the maximum inter-story drift ratio and nineteen IMs developed in recent decade together with the proposed IM, with sixty chosen far-field and near-field pulse-like ground motions. With the suggested optimal number of lower vibration modes and corresponding combination factors, the efficiency, sufficiency and the scaling robustness of the proposed IM is further demonstrated. In addition, the relative sufficiency measures of other IMs with respect to the proposed IM are investigated. The results from the study indicate that, the proposed IM is believed, from the standpoint of efficiency, sufficiency, relative sufficiency measure and scaling robustness, to be a more specialized and desirable tool for super high-rise buildings, either for far-field or near-field ground motions.     

罕遇地震下高层RC框架结构双地震动强度参数易损性分析

为研究高层RC框架结构罕遇地震下的易损性,设计了一个7度区典型11层RC框架结构。采用IDA方法进行时程分析,以地震动峰值地面加速度和结构第一自振周期对应的谱加速度为地震动强度指标,最大层间位移角为结构损伤指标,分别得到了单一地震动强度和双地震动强度参数下的IDA曲线和失效概率,绘制了双地震动强度参数下易损性曲面,并对单一地震动强度和双地震动强度参数下的易损性分析结果进行了对比。结果表明:罕遇地震下,采用双地震动强度参数结构失效概率明显低于采用单一地震动强度参数结构失效概率;对高层RC框架结构,采用双地震动强度参数进行易损性分析反映的地震动信息更全面;采用双地震动强度参数得到的结构失效概率公式更能真实量化不同强度地震作用下结构的失效概率。     

长短周期地震波作用下钢框架结构的响应特性对比分析

作为一种特殊的地震动,长周期地震动对结构的危害已引起国内外学者的关注。选取10条KiK-net、K-NET台网中典型的长周期地震动,以及10条国内外的短周期地震动,对比分析两者时程特征和反应谱特征的差异。将所选长、短周期地震动输入钢框架结构模型;通过非线性时程分析,研究钢框架结构在长、短周期地震动作用下的响应差异。结果表明：短周期地震动的平均地面峰值加速度是长周期地震动的3.26倍,而平均地面峰值位移比长周期地震动低10.89%;短周期地震动作用下,钢框架结构顶点加速度响应平均值是长周期地震动的5.16倍,结构顶点位移响应平均值仅比长周期地震动多0.91%;长周期地震动作用下,钢框架结构层间位移角响应较大,结构底部受影响范围更广。对于长周期地震动隐患地区的高层钢框架结构,应对长、短周期震害分别进行考虑;对于中、长周期钢框架结构,建议选用峰值位移作为抗震分析指标。     

A method to extract successive velocity pulses governing structural response from long-period ground motion

A series of relatively long-period velocity pulses appearing in the later part of ground motion, which is the characterization of far-source long-period ground motions in basin (“long-period ground motion” for short), is mainly influenced by focal mechanism, basin effect, and dispersion. It was supposed that the successive low-frequency velocity pulses in long-period ground motion caused the resonance of long-period structures in basin, which are of special concern to designers of super high-rise buildings. The authors proposed a wavelet-based successive frequency-dependent pulse extraction (WSFPE) method to identify and extract these pulses with dominant period of interest from long-period ground motions. The pulses extracted by using two frequently used methods (zero-crossing analysis, empirical mode decomposition) were compared to the pulses extracted by using WSFPE. The results demonstrate that the WSFPE provides higher resolution in time–frequency domain than the other two methods do. The velocity pulses extracted by using WSFPE are responsible for the resonance and maximum response of structure subjected to long-period ground motions. WSFPE can be used to make a better understanding of long-period ground motions and to promote the formation of long-period ground motion model which will help the seismic design of long-period structures built in sedimentary basin.     

长周期地震动强度指标与SDOF体系残余变形相关性分析

为分析两类长周期地震动作用下如何选取合理的强度指标作为结构抗震设计的输入,从2011年东日本9.0级地震、2003年十胜冲8.0级地震和2016年熊本7.3级地震数据库中选取90条可靠的远场长周期地震动。从1994年美国北岭6.7级地震和1999年台湾集集7.6级地震数据库中选取60条近场长周期地震动,以SDOF体系为研究对象,讨论了阻尼比、屈服刚度折减系数和强度折减系数对残余变形与18个地震动强度指标的相关系数的影响,对比分析了两类长周期地震作用下相关系数之间的异同。研究结果表明:在考虑近场长周期地震动作用时,建议应根据结构周期的大小来选择合适的强度指标作为地震动的输入。远场长周期地震动作用下,以PGA、PGV和PGD为代表的强度指标与残余变形的相关程度均较高,PGV稳定性略好于PGA和PGD,建议PGV作为地震动输入的控制指标。残余变形相关系数受阻尼比、屈服刚度折减系数以及强度折减系数影响不大。     

远场长周期地震下基于规范设计隔震结构的抗震性能研究

隔震结构具有较长自振周期,且容易受地震动长周期特性的影响,因此其在长周期地震动作用下的抗震性能值得研究。以某基于规范设计的基础隔震结构为例,通过对该结构在规范规定地震作用和远场长周期地震作用下的地震响应进行分析和对比,研究长周期地震动对结构地震响应的影响;通过对钢筋和混凝土的损伤状态进行定义和标识,探讨长周期地震作用下基础隔震结构的损伤分布规律。研究结果表明,长周期地震动作用下隔震结构发生破坏的概率远大于具有相同峰值地面加速度的普通地震动,其中长周期地震动反应谱的谱峰值"后移"被认为是造成这种情况的主要原因,且长周期地震动作用下隔震结构的损伤分布并不均匀,其主要集中在结构的底层。     

A nonlinear SDOF model for the simplified evaluation of the displacement demand of low-rise URM buildings

The determination of displacement demands for masonry buildings subjected to seismic action is a key issue in the performance-based assessment and design of such structures. A technique for the definition of single-degree-of-freedom (SDOF) nonlinear systems that approximates the global behaviour of multi-degree-of-freedom (MDOF) 3D structural models has been developed in order to provide useful information on the dependency of displacement demand on different seismic intensity measures. The definition of SDOF system properties is based on the dynamic equivalence of the elastic properties (vibration period and viscous damping) and on the comparability with nonlinear hysteretic behaviour obtained by cyclic pushover analysis on MDOF models. The MDOF systems are based on a nonlinear macroelement model that is able to reproduce the in-plane shear and flexural cyclic behaviour of pier and spandrel elements. For the complete MDOF models an equivalent frame modelling technique was used. The equivalent SDOF system was modelled using a suitable nonlinear spring comprised of two macroelements in parallel. This allows for a simple calibration of the hysteretic response of the SDOF by suitably proportioning the contributions of flexure-dominated and shear-dominated responses. The comparison of results in terms of maximum displacements obtained for the SDOF and MDOF systems demonstrates the feasibility and reliability of the proposed approach. The comparisons between MDOF and equivalent SDOF systems, carried out for several building prototypes, were based on the results of time-history analyses performed with a large database of natural records covering a wide range of magnitude, distance and local soil conditions. The use of unscaled natural accelerograms allowed the displacement demand to be expressed as a function of different ground motion parameters allowing for the study of their relative influence on the displacement demand for masonry structures.