基于谱速度的近场地震动输入能量计算模型研究

发展基于能量的桥梁结构抗震设计方法首先需要确定地震动的能量输入.对具有显著高能输入的脉冲型近场地震,针对既有的输入能量简化计算方法的不足,通过定义谱速度放大因子,提出了一种基于反应谱速度来计算地震动输入能量的计算模型.以收集到的世界范围内的靠近活动断层15km内的214条近场强震记录为基础,通过近震记录分组和SDOF体系数值计算,进行了谱速度放大因子在不同断层距条件下的分段线性化参数回归,用实际近震记录进行了验证和分组统计对比,和已有的Housner、Manfredi、Chai等代表性模型对比表明文中建议方法具有更高的精度且物理意义明确,能有效考虑结构自振特征的影响,可用于确定在给定断层条件下的结构预期能量输入.     

中、美主要抗震设计规范加速度谱的近断层地震动能量检验.

近场地震通常有显著的脉冲型高能输入,有必要从能量角度对现行抗震规范进行有效性检验,以探讨规范加速度设计谱能否体现近断层区域地震地面运动的能量耗散需求. 基于本文作者所建议的5%阻尼比下谱速度与输入能量等效速度之间关系,推导了与当前中、美主要抗震设计规范(GB50011-2001, UBC97)加速度谱相容的输入能量谱,并对其适用范围进行了讨论. 将其与基于实际近断层记录分组所得的输入能量设计谱进行对比表明, 我国GB50011-2001规范除软土场地的9度罕遇烈度外均难以体现近场地震的能量要求,有必要对设计谱平台高度进行调整;而美国UBC97规范则在除SA类场地之外的其它条件下均能较好地与15 km范围内的近场能量需求相吻合,从而也证明了本文推导方法的正确性.      

单自由度自复位体系设计能量谱研究

本文对具有旗帜型滞回模型的单自由度自复位体系提出了设计能量谱的构造方法,包括设计输入能量谱和设计滞回耗能比谱。首先按中国规范场地类别选取360条实际强震记录进行时程分析,对影响单自由度自复位体系输入能量谱和滞回耗能比谱的参数,包括地震波类型、滞回模型、阻尼比、延性系数等进行研究。在此基础上分别建议了设计输入能量谱和设计滞回耗能比谱及其曲线参数的确定方法,并与实际强震记录计算结果进行比较。结果表明结构滞回模型对能量谱影响明显;阻尼比和延性系数对输入能量谱的影响在整个周期范围内有显著差异,但均有明显的削峰作用。建议的两种设计能量谱综合考虑了结构参数、地震波参数和中国场地类别的影响,可以较好的拟合实际情况,并对弹塑性单自由度自复位体系在地震作用下的耗能需求做出较准确的估计。     

适用于结构时程分析法的输入地震波

本文对建筑结构抗震设计时程法所需的输入地震波提出一种基于规范反应谱的、与设防烈度、场地条件、设计近震或远震、结构自振特性有关的选择原则和方法。按远、近震和四类场地标定了反应谱、延性谱和积累损伤谱。通过对六幢不同高度的剪切和弯曲型结构模型的弹塑性分析,表明离差很小。建议在进行结构时程法分析时,按地震加速度反应谱特定的分布规律选择4条加速度记录作为输入计算。两个实际的例子表明按上述方法计算的结果与按底部剪力法计算的结果基本相符。     

缺乏近断层强震观测资料地区抗震设计规范反应谱研究

根据最近几次的近断层地震观测记录研究显示,在现行结构抗震设计规范中很少考虑近断层效应的影响,对于缺乏近断层强震观测资料地区,抗震设计规范的改进方法及近断层效应的设计参数还没有统一结论. 本文基于UBC97近断层因子设计理念, 在收集世界范围内近断层观测记录的基础上,按场地和震级进行分类,建立了中长周期关键点处的加速度谱需求的衰减关系式,推导给出了缺乏近断层观测资料地区近断层影响因子的震级和断层距的关系式. 并以我国现行的建筑抗震设计规范为基础,建议了近断层影响因子的参考取值和修正后的反应谱曲线,为我国结构抗震设计提供了参考.      

考虑场地条件与设计地震分组的输入能量谱研究

建立简单适用的设计输入能量谱是将能量方法应用于实际工程设计及校核的前提.选择了Ⅰ类、Ⅱ类和Ⅲ类场地共694条水平地震动记录,分析了不同的场地类别和设计地震分组下输入能量谱的特点.通过12个不同地震动参数与能量谱值的相关性分析,得到了表征地震动输入能量的地震动参数.基于我国现行规范规定的设防烈度和设防水准,提出了地震分组...     

基于结构能量分析的抗震设计新方法的研究

概要介绍了多自由度结构能量分析方法，根据单自由度体系得到的输入能量谱，研究分析了多自由度与单自由度输入能量和耗能的等效性问题，并对一座钢筋混凝土框架结构算例进行了能量计算，对计算结果进行了分析，为能量分析设计方法应用于结构抗震设计进行有益的探索。     

近断层区域减隔震铁路桥梁地震动强度指标选取研究

为选取适用于近断层区域减隔震铁路桥梁的地震动强度指标,完善近断层区域减隔震桥梁基于性能抗震设计方法,从NGA-West2数据库中选取了236条近断层脉冲地震记录作为输入地震激励,采用单自由度Bouc-Wen非线性模型模拟减隔震桥梁力学特性,应用MATLAB编制计算程序,对强度折减系数R=1~8,初始周期在0.5~3 s范围内的Bouc-Wen单自由度模型进行了非线性时程分析。然后选用位移响应峰值结果作为地震工程需求参数,基于相关性、可行性、有效性三项评判准则评价了25个地震动强度指标的合理性。研究结果表明:近断层区域,短周期(0.5~1 s)减隔震桥梁选用有效峰值速度EPV进行抗震分析和评估较为合理;中等周期(1~2 s)减隔震桥梁宜选用Fajfar指标IF;有效峰值位移EPD可作为长周期(2~3 s)减隔震桥梁抗震分析和评估推荐指标;在全部周期(0.5~3 s)范围内,峰值速度PGV均适用。     

基于性能抗震设计中的等效线性模型研究

对6种等效线性化方法等效模型进行分析和总结,研究等效线性化方法应用于桥梁结构基于位移抗震设计的可行性及计算过程.以箍筋体积配箍率和桥梁结构承载能力为评价因素,对钢筋混凝土桥梁墩柱采用不同等效线性化方法进行基于位移的抗震设计,研究了等效线性化方法及阻尼调整系数对抗震设计结果的影响.研究表明,各种等效线性化方法应用于基于位移的抗震设计其计算结果存在较大差异,等效阻尼比对基于位移的抗震设计结果影响显著,不同的阻尼调整系数得到的计算结果也不同.在所研究的6种等效线性化方法中,Kowalsky方法、Iwan方法和欧进萍方法计算误差较小,随着位移延性系数的增大,Kowalsky方法的计算误差减小.应用Eurocode8规范提供的阻尼调整系数计算得到的结果与真实值较为接近.建议采用Eurocode8规范提供的阻尼调整系数和Kowalsky方法进行基于位移的抗震设计.     

地震总输入能量与瞬时输入能量谱的研究

现有的抗震设计理论大多是基于承载力或强度的设计方法,与其相应的反应谱理论最大的缺陷是无法反映地震动持时的影响,而以地震动能量作为设计参数时就能弥补现有抗震理论的不足。本文按照反应谱理论的思路建立了线性单自由度体系的地震动总输入能量谱和瞬时输入能量谱。研究发现,阻尼比为5%时的地震动总输入能量谱和最大瞬时输入能量谱的等价速度谱可以分别用阻尼比为0.5%和10%下的拟速度谱来近似获得;地震波的V/A值大于0.15时,总输入能量谱的Δt谱峰值与地震波的强震持时呈线性增长关系,V/A值小于0.15时,两者间的关系无规律性。最大瞬时输入能量谱的Δt谱峰值基本不受地震波的V/A值与强震持时的影响;输入能量谱(总输入能量谱与最大瞬时输入能量谱)的特征周期随地震波V/A值的增大而增大,根据分析结果本文提出了线性单自由度体系输入能量谱的简化计算方法,方法简便,计算结果偏安全。     

A new methodology for energy-based seismic design of steel moment frames

A procedure is proposed whereby input and hysteretic energy spectra developed for single-degree-of-freedom (SDOF) systems are applied to multi-degree-of-freedom (MDOF) steel moment resisting frames. The proposed procedure is verified using four frames, viz., frame with three-, five-, seven- and nine-stories, each of which is subjected to the fault-normal and fault-parallel components of three actual earthquakes. A very good estimate for the three- and five-story frames, and a reasonably acceptable estimate for the seven-, and nine-story frames, have been obtained. A method for distributing the hysteretic energy over the frame height is also proposed. This distribution scheme allows for the determination of the energy demand component of a proposed energy-based seismic design (EBSD) procedure for each story. To address the capacity component of EBSD, a story-wise optimization design procedure is developed by utilizing the energy dissipating capacity from plastic hinge formation/rotation for these moment frames. The proposed EBSD procedure is demonstrated in the design of a three-story one-bay steel moment frame.     

Formulation of elastic earthquake input energy spectra

The object of this paper is to introduce a procedure for the determination of elastic design earthquake input energy spectra taking into account the influence of magnitude, soil type and distance from the surface projection of the fault. Firstly, an accurate selection of a large set of representative records has been realized. Secondly, the construction of the design input energy spectra has required determining the spectral shapes and a normalization factor which measures seismic hazard in terms of energy. This factor, denoted as the seismic hazard energy factor, has been defined as the area under the earthquake input energy spectrum in the period interval between 0·05 and 4·0 s. Finally, due to the importance of the source-to-site distance in the evaluation of the input energy, an investigation into the attenuation of the seismic hazard energy factor has been carried out. © 1998 John Wiley & Sons, Ltd.     

Introducing new design spectra derived from Italian recorded ground motions 1972 to 2017

The shape of design spectra, traditionally based on regions characterized by constant displacement, constant velocity, and constant acceleration, has been discussed from a conceptual point of view by Calvi (2018). In the same study, a formulation for the definition of the design spectra relying on four parameters was proposed. Predictive models are proposed herein to calculate these four parameters, conditional on magnitude and distance. These models were developed using a large number of recorded ground motions in Italy, and they allow defining combined spectral acceleration versus spectral displacement plots. Such design spectra are shown to reasonably interpolate the experimental data, resulting in acceleration and displacement demand that approximate the response spectra resulting from +1σ results obtained from recorded ground motions. While it is recognized that numerous additional parameter should be considered (eg, focal depth and fault distance, site amplification), it is also concluded that this approach to define the seismic demand is promising toward a rationalization of seismic design. A thorough application of the approach developed and preliminary tested in this work may result in a re‐visitation of seismic design approaches and, ultimately, in a more efficient use of the available resources.     

An energy-based methodology for the assessment of seismic demand

A methodology for the assessment of the seismic energy demands imposed on structures is proposed. The research was carried out through two consecutive phases. Inelastic design input energy spectra for systems with a prescribed displacement ductility ratio were first developed. The study of the inelastic behavior of energy factors and the evaluation of the response modification in comparison with the elastic case were performed by introducing two new parameters, namely: (1) the Response Modification Factor of the earthquake input energy (R_E), representing the ratio of the elastic to inelastic input energy spectral values and (2) the ratio α of the area enclosed by the inelastic input energy spectrum in the range of periods between 0.05 and 4.0 s to the corresponding elastic value. The proposed design inelastic energy spectra, resulting from the study of a large set of strong motion records, were obtained as a function of ductility, soil type, source-to-site distance and magnitude.Subsequently, with reference to single degree of freedom systems, the spectra of the hysteretic to input energy ratio were evaluated, for different soil types and target ductility ratios. These spectra, defined to evaluate the hysteretic energy demand of structures, were described by a piecewise linear idealization that allows to distinguish three distinct regions as a function of the vibration period. In this manner, once the inelastic design input energy spectra were determined, the definition of the energy dissipated by means of inelastic deformations followed directly from the knowledge of hysteretic to input energy ratio.The design spectra of both input energy and hysteretic to input energy ratio were defined considering an elasto-plastic behavior. Nevertheless, other constitutive models were taken into account for comparison purposes.     

Merging energy‐based design criteria and reliability‐based methods: exploring a new concept

This paper examines the potential development of a probabilistic design methodology, considering hysteretic energy demand, within the framework of performance‐based seismic design of buildings. This article does not propose specific energy‐based criteria for design guidelines, but explores how such criteria can be treated from a probabilistic design perspective. Uniform hazard spectra for normalized hysteretic energy are constructed to characterize seismic demand at a specific site. These spectra, in combination with an equivalent systems methodology, are used to estimate hysteretic energy demand on real building structures. A design checking equation for a (hypothetical) probabilistic energy‐based performance criterion is developed by accounting for the randomness of the earthquake phenomenon, the uncertainties associated with the equivalent system analysis technique, and with the site soil factor. The developed design checking equation itself is deterministic, and requires no probabilistic analysis for use. The application of the proposed equation is demonstrated by applying it to a trial design of a three‐storey steel moment frame. The design checking equation represents a first step toward the development of a performance‐based seismic design procedure based on energy criterion, and additional works needed to fully implement this are discussed in brief at the end of the paper. Copyright © 2006 John Wiley & Sons, Ltd.     

Prediction of seismic energy dissipation in SDOF systems

A simple analytical procedure is developed for calculating the seismic energy dissipated by a linear SDOF system under an earthquake ground excitation. The ground excitation is specified by its pseudo-velocity spectra and effective duration whereas the SDOF system is defined by its natural period of vibration and viscous damping ratio. However, the derived relationship for the energy dissipation demand under an earthquake excitation is sensitive neither to the viscous damping ratio nor the ductility ratio when the SDOF system undergoes inelastic response. Accordingly, the proposed relationship can be employed in an energy-based seismic design procedure for determining the required energy dissipation capacity of a structural system.     

Design energy input spectra for moderate-to-high seismicity regions based on Colombian earthquakes

Energy input spectra applicable to the seismic design of structures in moderate-to-high seismicity regions are proposed. Such design inputs are derived from the bilinear envelope of individual spectra obtained for 144 ground motions recorded in Colombia. In the short period region the spectra account for the increase of input energy, due to plastification of the structure, through a new formula derived from extensive nonlinear analyses. The proposed energy input design spectra are compared with the provisions of the Colombian seismic code, and with those proposed for Japan, Spain, Iran and Greece. It is found that the proposed spectra are more demanding than the current Colombian seismic code, and that they agree with those developed recently for six cities in Greece, yet applying a different approach. An empirical equation for estimating the portion of the total seismic input energy that contributes to structural damage is also developed.     

Study on strength reduction factors considering the effect of classification of design earthquake

Introduction The strength reduction factor is defined as the lateral yielding strength required to avoid yielding in the system when subjected to a given ground motion, to the lateral yielding strength required to maintain the displacement ductility ratio demand equal to a pre-determined target duc-tility ratio under the same ground motion. The strength reduction factors are not only the key fac-tors in determining seismic action for force-based seismic design, but also one of the key parame-t…     

Correlations between Energy and Displacement Demands for Performance-Based Seismic Engineering

The development of a scientific framework for performance-based seismic engineering requires, among other steps, the evaluation of ground motion intensity measures at a site and the characterization of their relationship with suitable engineering demand parameters (EDPs) which describe the performance of a structure. In order to be able to predict the damage resulting from earthquake ground motions in a structural system, it is first necessary to properly identify ground motion parameters that are well correlated with structural response and, in turn, with damage. Since structural damage during an earthquake ground motion may be due to excessive deformation or to cumulative cyclic damage, reliable methods for estimating displacement demands on structures are needed. Even though the seismic performance is directly related to the global and local deformations of the structure, energy-based methodologies appear more helpful in concept, as they permit a rational assessment of the energy absorption and dissipation mechanisms that can be effectively accomplished to balance the energy imparted to the structure. Moreover, energy-based parameters are directly related to cycles of response of the structure and, therefore, they can implicitly capture the effect of ground motion duration, which is ignored by conventional spectral parameters. Therefore, the identification of reliable relationships between energy and displacement demands represents a fundamental issue in both the development of more reliable seismic code provisions and the evaluation of seismic vulnerability aimed at the upgrading of existing hazardous facilities. As these two aspects could become consistently integrated within a performance-based seismic design methodology, understanding how input and dissipated energy are correlated with displacement demands emerges as a decisive prerequisite. The aim of the present study is the establishment of functional relationships between input and dissipated energy (that can be considered as parameters representative of the amplitude, frequency content and duration of earthquake ground motions) and displacement-based response measures that are well correlated to structural and non-structural damage. For the purpose of quantifying the EDPs to be related to the energy measures, for comprehensive range of ground motion and structural characteristics, both simplified and more accurate numerical models will be used in this study for the estimation of local and global displacement and energy demands. Parametric linear and nonlinear time-history analyses will be performed on elastic and inelastic SDOF and MDOF systems, in order to assume information on the seismic response of a wide range of current structures. Hysteretic models typical of frame force/displacement behavior will be assumed for the local inelastic cyclic response of the systems. A wide range of vibration periods will be taken into account so as to define displacement, interstory drift and energy spectra for MDOF systems. Various scalar measures related to the deformation demand will be used in this research. These include the spectral displacements, the peak roof drift ratio, and the peak interstory drift ratio. A total of about 900 recorded ground motions covering a broad variety of condition in terms of frequency content, duration and amplitude will be used as input in the dynamic analyses. The records are obtained from 40 earthquakes and grouped as a function of magnitude of the event, source-to-site condition and site soil condition. In addition, in the data-set of records a considerable number of near-fault signals is included, in recognition of the particular significance of pulse-like time histories in causing large seismic demands to the structures.