基于等效单自由度体系的结构地震输入能量的研究

通过对多自由度体系结构在地震作用下的能量分析,考虑地震动因素和结构自身特性,提出一种框架结构地震总输入能量的简化求解方法.实例计算结果表明:基于等效单自由度体系来估计多自由度体系的地震总输入能,是一种计算简便且较为准确的方法.     

A method for the direct estimation of floor acceleration spectra for elastic and inelastic MDOF structures

This paper deals with floor acceleration spectra, which are used for the seismic design and assessment of acceleration‐sensitive equipment installed in buildings. In design codes and in practice, not enough attention has been paid to the seismic resistance of such equipment. An ‘accurate’ determination of floor spectra requires a complex and quite demanding dynamic response history analysis. The purpose of the study presented in this paper is the development of a direct method for the determination of floor acceleration spectra, which enables their generation directly from the design spectrum of the structure, by taking into account the structure's dynamic properties. The method is also applicable to inelastic structures, which can greatly improve the economic aspects of equipment design. A parametric study of floor acceleration spectra for elastic and inelastic single‐degree‐of‐freedom (SDOF) and multiple‐degree‐of‐freedom structures was conducted by using (non)linear response history analysis. The equipment was modelled as an elastic single‐degree‐of‐freedom system. The proposed method was validated by comparing the results obtained with the more accurate results obtained in a parametric study. Due to its simplicity, the method is an appropriate tool for practice. In the case of inelastic structural behaviour, the method should be used in combination with the N2 method, or another appropriate method for simplified nonlinear structural analysis. Copyright © 2016 John Wiley & Sons, Ltd.     

考虑结构-土-结构相互作用的区域建筑群震害评估

建筑群震害评估计算对城市区域地震损失评估和震后快速援助救灾有着重要意义。考虑到地震中建筑物相互作用对震害的影响,进行考虑结构间相互作用的区域建筑群震害评估计算。在已有的基于结构—土—结构动力相互作用(SSSI)分析的简化离散模型基础上,扣除基础转动对输出响应的影响,引入基础上部建筑结构非线性多自由度模型,得到考虑SSSI的简化的非线性多自由度离散模型,建立考虑SSSI的区域建筑群震害评估方法。以四川大学望江校区的建筑群在汶川地震中的震害评估为例,采用该方法对该校区建筑群在汶川地震中的震害进行评估计算。同时,也对未考虑SSSI情况下的该校区建筑群震害进行计算。运用HAZUS对建筑群在汶川地震中的震害进行计算。通过对比分析实际震害调查数据、HAZUS震害计算结果和本文建筑群震害计算结果可知,相比HAZUS震害计算结果,本文建筑群震害计算结果更接近实际震害调查数据;与未考虑SSSI的建筑群震害计算结果相比,考虑SSSI的建筑群震害计算结果精确度更高,更能反映建筑群的实际震害情况。     

Bivariate Gaussian mixture–based equivalent linearization method for stochastic seismic analysis of nonlinear structures

To address challenges in stochastic seismic analysis of nonlinear structures, this paper further develops a recently proposed Gaussian mixture–based equivalent linearization method (GM‐ELM). The GM‐ELM uses a Gaussian mixture distribution model to approximate the probabilistic distribution of a nonlinear system response. Using properties of the Gaussian mixture model, GM‐ELM can decompose the non‐Gaussian response of a nonlinear system into multiple Gaussian responses of linear single–degree of freedom oscillators. With the set of the equivalent linear systems identified by GM‐ELM, response statistics as crossing rate and first‐passage probability can be computed conveniently using theories of linear random vibration analysis. However, the original version of GM‐ELM may lead to an inaccurate estimate because of the heuristic parameters of the linear system introduced to supplement insufficient information. To overcome this limitation and define unique equivalent linear systems, this paper proposes a further developed version of GM‐ELM, which uses a mixture of bivariate Gaussian densities instead of univariate models. Moreover, to facilitate the use of elastic response spectra for estimating the mean peak responses of a nonlinear structure, a new response spectrum combination rule is proposed for GM‐ELM. Two numerical examples of hysteretic structural systems are presented in this paper to illustrate the application of the bivariate GM‐ELM to nonlinear stochastic seismic analysis. The analysis results obtained by the bivariate GM‐ELM are compared with those obtained by the univariate GM‐ELM, the conventional equivalent linearization method, the tail equivalent linearization method, and Monte Carlo simulation. The supporting source code and data are available for download at https://github.com/yisangri/GitHub‐bGM‐ELM‐code.git     

Seismic behaviour of circular tunnels accounting for above ground structures interaction effects

Tunnels are commonly designed under seismic loading assuming “free field conditions”. However, in urban areas these structures pass beneath buildings, often high-rise ones, or are located close to them. During seismic excitation, above ground structures may cause complex interaction effects with the tunnel, altering its seismic response compared to the “free field conditions” case. The paper summarizes an attempt to identify and understand these interaction effects, focusing on the tunnel response. The problem is investigated in the transversal direction, by means of full dynamic time history analyses. Two structural configurations are studied and compared to the free field conditions case, consisting of one or two above ground structures, located over a circular tunnel. Above ground structures are modeled in a simplified way as equivalent single-degree of freedom oscillators, with proper mechanical properties. Several parameters that are significantly affecting the phenomenon are accounted for in this parametric study, namely the soil to tunnel relative flexibility, the tunnel dimensions, the tunnel burial depth and the soil properties and nonlinearities during shaking. Tunnels response characteristics are compared and discussed, in terms of acceleration, deformations and lining dynamic internal forces. Internal forces are also evaluated with analytical closed form solutions, commonly used in preliminary stages of design, and compared with the numerical predictions. The results indicate that the presence of the above ground structures may have a significant effect on the seismic response of the tunnel, especially when the latter is stiff and located in shallow depths.     

Constant‐ductility response spectra for sequential earthquake and tsunami loading

Simplified approaches for examining structural system response under sequential earthquake and tsunami loading are helpful for understanding response trends. To aid understanding, nonlinear (constant‐ductility) response spectra are developed for elastoplastic single degree of freedom systems subjected to seismic loads followed by hydrodynamic tsunami loads. The forcing function is composed of long‐duration earthquake motion concatenated with a range of tsunami hydrodynamic forces that are proportional to the pseudo‐spectral acceleration produced by the earthquake motion. The constant‐ductility spectra are thus constructed for scenarios where the loading imposed by one hazard is not dominant over the other. The spectra and basic intensity measures indicate that the amplification of response for sequential earthquake and tsunami loading over the earthquake only case is most significant for systems with long natural periods and high‐ductility capacity under seismic loading. Copyright © 2017 John Wiley & Sons, Ltd.     

复阻尼振动方程频域解法中有关问题的研究

以地震反应谱的形式，阐述了复阻尼系统在频域求解过程中容易出现的问题。通过理论与计算分析得知，这些问题对反应谱计算有很大的影响。另外，还初步分析了时域精确法及频域分析方法的计算效率，认为时域精确法比频域分析方法的计算效率高。     

Successive formula method for numerical analysis of vibrating response

The algorithm of successive formulas for computing numerical vibrating response of unequal time interval for a single-degree of freedom oscillator in linear cases are more systematically introduced in the paper. Some numerical analysis characteristics of the algorithm are discussed. It is proved that the algorithm is unconditionally stable and convergent. A computer program for simultaneous calculation of the relative displacement, the relative velocity and the absolute acceleration response spectra is edited in the paper. The Chinese version of this paper appeared in the Chinese edition ofActa Seismologica Sinica,14, 236–242, 1992.     

新型索承网壳结构非线性地震反应特性和参数分析

本文根据新型大跨空间杂交结构———索承网壳结构的受力特点,选用梁元、杆元和索元的混合有限元模型,给出了一种有效的适用于该类结构的非线性动力响应的增量、迭代有限元计算方法。以K8型索承网壳结构为研究对象,进行了时域内的三向地震作用下的非线性反应分析。计算结果表明,该结构具有良好的抗震性能。文中针对地震响应的主要影响参数,对其地震响应规律作了系统的研究,得出矢跨比和撑杆长度是抗震设计的主要控制参数等有应用价值的结论。     

场地条件对地表地震动特征的影响

以安徽省滁州市地震小区划场地为研究对象,基于ABAQUS显式有限元并行计算平台,采用大尺度二维精细化有限元非线性分析方法,研究了局部地质条件差异对场地地震效应的影响。结果表明：该场地地震动放大效应明显,河漫滩地表PGA放大效应尤为显著;相比一级阶地,河漫滩地表加速度反应谱谱形加宽,谱峰向长周期方向移动,移动幅度约为0．05～0．25S,相应的特征周期增大。地表加速度反应谱呈双峰甚至多峰特征,大尺度场地非线性有限元分析能定性反映出局部地质条件对场地地震效应特性的影响,可为城市地震小区划提供更为合理的科学依据。     

基于单自由度等效线性化模型的RC结构地震易损性分析

通过有限元方法进行非线性动力时程分析获取解析的易损性曲线,计算量大且耗时。本文采用一种简化的计算方法,即基于单自由度的等效线性化模型,对钢筋混凝土框架结构进行地震易损性分析,并研究了该方法在结构高度上的适用性。通过选用5种典型的等效线性化模型对3栋不同高度的钢筋混凝土框架结构进行增量动力分析（IDA）,得到了不同高度的结构在不同强度地震作用下结构的反应和易损性,并与OpenSees程序的计算结果进行对比,研究了等效线性化模型应用于RC框架结构易损性分析在高度上的适用性。分析结果表明:对于10层及以下的框架结构,基于单自由度的等效线性化模型在结构地震易损性分析中具有较好的适用性;对于更高层数的结构,由于高阶振型反应对整体结构反应的影响增大,基于单自由度等效线性化模型的易损性分析结果会出现明显的偏差。     

Cladding influence on dynamics response of tall buildings

Precast concrete panels form attractive facades for steel frame buildings and are generally regarded as non-structural by structural engineers. However, panels have been found to add lateral stiffness until their capacity or that of their connections is exceeded. Consequently, the computed dynamic response based on a model of the structural framing alone may be quite different from that experienced by the actual structure. As a case study, the influence of precast concrete panels on lateral and torsional stiffness of a 25-storey building was investigated. The effect of cladding on dynamic properties and linear seismic response was explored by varying panel stiffness. Cladding stiffness was added to the bare frame model until analytical frequency values matched vibration test results. Then, using the cladding stiffness values obtained, an accidental eccentricity between centres of mass and rigidity at each floor level was imposed and linear seismic response computed. Torsional response effects were increased substantially. Finally, a modified cladding panel connection was developed based on previously-reported studies for panelized construction. The influence of the proposed connection on overall structural response was determined for different ground motion inputs.     

Field trial of seismic recording using distributed acoustic sensing with broadside sensitive fibre‐optic cables

Distributed acoustic sensing is an emerging technology using fibre‐optic cables to detect acoustic disturbances such as flow noise and seismic signals. The technology has been applied successfully in hydraulic fracture monitoring and vertical seismic profiling. One of the limitations of distributed acoustic sensing for seismic recording is that the conventional straight fibres do not have broadside sensitivity and therefore cannot be used in configurations where the raypaths are essentially orthogonal to the fibre‐optic cable, such as seismic reflection methods from the surface. The helically wound cable was designed to have broadside sensitivity. In this paper, a field trial is described to validate in a qualitative sense the theoretically predicted angle‐dependent response of a helically wound cable. P‐waves were measured with a helically wound cable as a function of the angle of incidence in a shallow horizontal borehole and compared with measurements with a co‐located streamer. The results show a similar behaviour as a function of the angle of incidence as the theory. This demonstrates the possibility of using distributed acoustic sensing with a helically wound cable as a seismic detection system with a horizontal cable near the surface. The helically wound cable does not have any active parts and can be made as a slim cable with a diameter of a few centimetres. For that reason, distributed acoustic sensing with a helically wound cable is a potential low‐cost option for permanent seismic monitoring on land.     

Implementation and verification of a masonry panel model for nonlinear dynamic analysis of infilled RC frames

The effect of infill panels on the response of RC frames subjected to seismic action is widely recognised and has been subject of numerous experimental investigations, while several attempts to model it analytically have been reported. In this work, the implementation, within a fibre-based Finite Elements program, of a double-strut nonlinear cyclic model for unreinforced masonry panels is carried out. The adequacy of the model in predicting the cyclic/seismic response of multi-storey infilled reinforced concrete frames is then verified through comparisons against experimental results.     

Nonlinear seismic analysis of unsymmetric-plan structures retrofitted by hysteretic damped braces

A displacement-based design procedure using hysteretic damped braces (HYDBs) is proposed for the seismic retrofitting of unsymmetric-plan structures. An expression of the viscous damping equivalent to the hysteretic energy dissipated by the damped braced frame is proposed under bidirectional seismic loads, where corrective factors are assumed as a function of design parameters of the HYDBs. To this end, the nonlinear dynamic analysis of an equivalent two degree of freedom system is firstly carried out on seven pairs of real ground motions whose displacement response spectra match, on average, the design spectrum proposed by the Italian seismic code for a high-risk seismic zone and a medium subsoil class. Then, the extended N2 method considered by the European seismic code, which combines the nonlinear static analysis along the in-plan principal directions of the structure with elastic modal analysis, is adopted to evaluate the higher mode torsional effects. The town hall of Spilinga (Italy), a reinforced concrete (r.c.) framed building with an L-shaped plan, is supposed to be retrofitted with HYDBs. Six structural solutions are compared considering two alternative in-plan distributions of the HYDBs, to eliminate (elastic) torsional effects, and three design values of the frame ductility combined with a constant design value of the damper ductility. To check the effectiveness and reliability of the DBD procedure, the nonlinear static analysis of the test structures is carried out, by evaluating the vulnerability index of r.c. frame members and the ductility demand of HYDBs for different in-plan directions of the seismic loads.     

Probabilistic estimate of seismic response design values of RC frames

Probabilistically controlled design values of the nonlinear seismic response of reinforced concrete frames are obtained using a method previously proposed by the authors. The method allows to calculate conservative design values characterized by a predefined non‐exceedance probability, using a limited number of spectrum‐fitting generated accelerograms. Herein the method is applied to elastic‐strain hardening single degree of freedom systems representative of RC framed structures and is then assessed with reference to four reinforced concrete model frames designed according to EC8. The frames are characterized by different natural periods and aspect ratios. The results, compared with those obtained applying current EC8 recommendations, show the effectiveness of the proposed method. EC8 provides for design values of the seismic response of a structure with a nonlinear behavior computed as the mean value of the responses to seven accelerograms or as the maximum value of the responses to three accelerograms. These two criteria lead to design values characterized by very different and uncontrolled non‐exceedance probability levels, while the proposed method allows the analyst to directly control the non‐exceedance probability level of the calculated design values. Copyright © 2009 John Wiley & Sons, Ltd.     

拉索松弛对独塔斜拉桥地震反应的影响

为了研究地震作用下斜拉桥拉索松弛对独塔斜拉桥地震反应的影响,采用桁架单元模拟斜拉索,考虑拉索垂度效应,基于OpenSees平台建立了考虑成桥状态及拉索松弛的全桥有限元模型,输入5条强震记录进行地震反应分析,探究了斜拉索松弛及其对斜拉桥关键部位地震反应的影响规律。结果表明：强震作用下独塔斜拉桥的拉索会产生松弛,但拉索松弛现象仅发生在部分边索中;拉索松弛对最不利受力索的位置和最大索拉力影响可以忽略;拉索松弛可能增大也可能减小结构地震反应,其影响不可忽略且受地震动的频谱影响较大,应引起设计的注意。     

核电厂堆芯燃料组件地震反应分析

核电厂堆芯燃料组件在强震作用下难以避免地将产生摩擦、滑移和相互间的碰撞等非线性反应。关于燃料组件之间以及燃料组件与围板之间的碰境模拟对燃料给件地震反应的影响已有计算分析成果,但量,由于摩擦、滑移引起的燃料组件的非线性动力特性在燃料组件地震反应的现有计算模型中还未得到考虑。本文基于试验测定的燃料组件的非线性动力特性,提出了考虑上述因素的燃料组件地震反应分析方法。     

索网屋盖结构阻尼特性试验研究

为研究悬索结构阻尼特性进行了２．２５×３．００ｍ索网模型试验，探索了阻尼比幅度、阻尼比变化对地震动力内力、动力位移影响规律系列问题。综合试验与理论研究结果，对悬索结构抗震设计给出有效的结论。