Elastic Seismic Response Research Articles

Analysis of a high‐rise steel structure with viscous damped outriggers

SUMMARYDamped outriggers for tall buildings draw increasingly attentions to engineers. With a shaking table test, two models of a high‐rise steel column‐tube structure are established, one with outriggers fixed to the core and hinged at the columns, whereas the other's cantilevering outriggers are connected to columns by viscous dampers. According to their dynamic properties, five earthquake waves are selected from the Ground Motion Database of Pacific Earthquake Engineering Research Center (PEER), and two artificial waves are generated by software SIMQKE_GR. Under various peak ground accelerations (PGAs), nonlinear time‐history analysis is applied to compare structural elastic seismic responses, including accelerations, inter‐story drifts, base shear force, damper's response and additional damping ratios. It is concluded that under minor earthquakes, accelerations, inter‐story drifts and base shear force of structure with damped outriggers are larger than or nearly equal to those of the one with fixed outriggers, and the viscous dampers hardly work. But as PGA increases, the contrary situation happens, and the effect of viscous dampers is enhanced as well. The additional damping ratio reaches around 4% under mega earthquakes. Copyright © 2013 John Wiley & Sons, Ltd.

Elastic and Large-Strain Nonlinear Seismic Site Response from Analysis of Vertical Array Recordings

AbstractStrong ground motions from the Mw=6.6 2007 Niigata-ken Chuetsu-oki earthquake were recorded by a free-field downhole array at a nuclear power plant. Site conditions consist of about 70 m of medium-dense sands overlying clayey bedrock, with groundwater located at 45 m. Ground shaking at the bedrock level had a geometric mean peak acceleration of 0.55g, which reduced to 0.4g at the ground surface, indicating nonlinear site response. One-dimensional ground response analysis of relatively weak motion aftershock data provides good matches of the observed resonant site frequencies and amplification levels, provided small-strain damping levels somewhat larger than those from laboratory tests are applied. Nonlinear ground response analyses of strong-motion data using laboratory-based modulus reduction and damping relations valid up to moderate strain levels (<∼0.5%) produce unrealistic strain localization at a velocity contrast. A procedure is presented to more realistically represent the large-strain por...

Elastic Seismic Response of Steel-Concrete Composite Frames with Partial Interaction

The finite element formulations of steel-concrete composite (SCC) beams considering interlayer slip with end shear restraint is established. Elastic seismic response of SCC frame structures under different shear connection stiffness and slip boundary conditions are examined. The influences of the shear connection stiffness and the slip boundary condition on elastic seismic response are analyzed. With the shear connection stiffness increasing, the free vibration frequencies increase and the seismic responses decrease. The natural vibration properties of SCC frame structures and seismic responses are also significantly affected by the slip boundary condition, and it should be properly imposed on all composite beams in seismic response analysis.

An Investigation into the Influence of Damping on the Earthquake Response Analysis of a High Arch Dam

Two input models of seismic excitation, the nonlinear contact characteristics of contraction joints, were presented. The influence of the damping ratio on the seismic response of a high arch dam was then investigated. A new element (the viscous-spring boundary element capable of reflecting the radiation damping effects of an infinite foundation), the external source wave input subroutine, and the dynamic contact models, including the characteristics of normal opening-closing and radial sliding, were developed in this paper. The nonlinear contact behavior of contraction joints was simulated using a nonlinear exponential dynamic contact model, and the radial nonlinear characteristic was simulated using the Mohr-Coulomb criterion. Linear elastic and nonlinear seismic response analyses for a 300-m high concrete arch dam under construction were performed. The results showed that the damping ratio greatly influenced the seismic response of a high arch dam using a massless foundation model, and the damping ratio between 3–5% resulted in a conservative seismic response. The results of the viscous-spring boundary input model were in good agreement with those given by the massless foundation model when a damping ratio of 10% was used, but the openings of joints near the crown cantilever varied significantly. The effects of radiation damping of the foundation on the seismic response could be simplified to some extent by increasing the material damping of the dam in this study.

Influence of near-fault ground motions characteristics on elastic seismic response of asymmetric buildings

The elastic seismic response of plan-asymmetric multi storey steel-frame buildings is investigated under earthquake loading with particular emphasis on forward-rupture directivity and fling records. Three asymmetric building systems are generated with different torsional stiffness and varying static eccentricity. The structural characteristic of these systems are designed according to UBC 97 code and their seismic responses subjected to a set of earthquake records are obtained from the response history analysis (RHA) as well as the linear static analysis (LSA). It is shown that, the elastic torsional response is influenced by the intensity of near-fault ground motions with different energy contents. In the extreme case of very strong earthquakes, the behaviour of torsionally stiff buildings and torsionally flexible buildings may differ substantially due to the fact that the displacement envelope of the deck depends on ground motion characteristics.

Numerical Modeling and Simulation on Seismic Performance of High-Speed Railway Bridge System

In this paper, the responses of high-speed railway bridge subjected to seismic load were investigated by numerical simulation. Elastic deformation will occur in the bridge system under low-level earthquake; however, the bridge system may enter a nonlinear stage under high-level earthquake. The whole finite element model of the bridge system was set up by means of ANSYS software and self-compiled moment-curvature relationship program, the elastic seismic responses of bridge system and the elastic-plastic deformation of piers considering different vehicle speeds are calculated respectively. The calculation results show that, the earthquake responses of bridge system are increase in general with the increase of vehicle speed and earthquake intensity, and the bottom of piers step into elastic-plasticity stage under high-level earthquake, the plastic hinges occurred at the pier bottom, the pier bottom step into the plastic stage, some measures such as lateral reinforced steel encryption should be taken into account to ensure safety.

Numerical Seismic Analysis of Simply-Supported Girder Railway Bridge under High-Speed Train Load

Along with rapid development of high-speed railway in many countries, recently research on seismic response of high-speed railway bridge under train load has raised much concern among researchers. The whole bridge finite element model is establish to analysis the seismic responses of simply-supported girder railway bridge subjected to high-speed train in this paper, ICE series high speed vehicle is employed as train live load, the vehicle is simulated by moving spring-mass system, The track irregularities can be obtained by Simpack software, the birdge incluing superstructure and substructure is three-dimensional space beam element, the bottom of piers is proposed consolidated. elastic seismic responses of bridge system and elastic-plastic deformation of piers considering different train speeds are calculated. The calculation results indicate that, seismic responses of bridge system are increase with the increase of train speed and earthquake intensity, and the bottom of piers will step into elastic-plasticity stage under high-level earthquake, the plastic hinges occurred within 1.4 meters of bottom of pier. The numerical results can provide some references for design of high-speed railway bridge.

Effects of interface slip and semi-rigid joint on elastic seismic response of steel-concrete composite frames

The stiffness matrix of semi-rigidly connected composite beams considering interface slip was established and the calculation method for elastic seismic response of composite frame was derived. The corresponding calculation programs were developed. Introducing the dimensionless quantities that were related to the connector shearing stiffness and the joint rotation stiffness, the influences of interface slip and semi-rigid joint on composite frame were transferred to quantitative parameter analysis, taking account of cross sectional properties, materials and linear stiffness of composite beam synthetically. Based on the calculation programs, free vibration frequencies and seismic responses of semi-rigid joint steel-concrete composite frame considering interface slip were calculated. The influences of interface slip and semi rigid joint on dynamic characteristics and seismic response were analyzed and the seismic design advices were presented. The results show that the interface slip decreases the free vibration frequencies and increase the seismic responses of composite frame. The semi-rigid joint reduces the free vibration frequencies and increases seismic responses of composite frame compared with rigid joint. With the increase of joint rotational stiffness, the elastic seismic responses of composite frame increase firstly and then decrease. The effects are related to the ratio of joint rotation stiffness to linear stiffness of composite beam.

A Study on Elastic Seismic Response and Estimation of Static Seismic Load of the Gable Trussed Structures

A Study on Elastic Seismic Response and Estimation of Static Seismic Load of the Gable Trussed Structures

Seismic analysis of the world’s tallest building

Taipei 101 (officially known as the Taipei Financial Center) with 101 stories and 508 m height, located in Taipei where earthquakes and strong typhoons are common occurrences, is currently the tallest building in the world. The great height of the building, the special geographic and environmental conditions, not surprisingly, presented one of the greatest challenges for structural engineers. In particular, its dynamic performance under earthquake or wind actions requires intensive research. The structure of the building is a mega-frame system composed of concrete filled steel tube (CFT) columns, steel brace core and belt trusses which are combined to resist vertical and lateral loads. In this study, a shaking table test was conducted to determine the constitutive relationships and finite element types for the CFT columns and steel members for establishing the finite element (FE) model of the tall building. Then, the seismic responses of the super-tall building were numerically investigated. An earthquake spectrum generated for Taipei Basin was adopted to calculate the lateral displacements and distributions of interior column forces. Furthermore, time-history analyses of elastic and inelastic seismic response were carried out using scaled accelerograms representing earthquake events with return periods of 50-year, 100-year, and 950-year, respectively. The computational results indicate that the super-tall building with the mega-frame system possesses substantial reserve strength, and the high-rise structure would satisfy the design requirements under severe seismic events. The output of this study is expected to be of considerable interest and practical use to professionals and researchers involved in the design of super-tall buildings.

Shaking Table Test and Numerical Analysis of RC Frames with Viscous Wall Dampers

This paper presents a comprehensive investigation on viscous wall dampers (VWD) used for seismic response mitigation of reinforced concrete (RC) frames. First, a shaking table test on a large-scaled three-story RC frame with VWD and another identical three-story RC frame without any dampers was carried out. A total of three types of earthquake excitations were inputted to the shaking table to evaluate the effects of VWD on seismic response mitigation. The influence of different earthquake input intensities on seismic performance of VWD were also examined. From the experiment, this paper further assessed the performance of VWD on seismic retrofitting of a partly damaged RC frame. The test results show that the main effect of installing VWD is to provide a large amount of supplemental damping to the RC frame, and at the same time the stiffness of the structure is also raised moderately as an accessorial effect. As a result, the displacement responses of the RC frame can always be reduced significantly, while the acceleration responses and the base shear of the RC frame were reduced in some test cases, but increased in other cases. The test results of seismic retrofit also show that seismic responses of the damaged RC frame can be alleviated evidently by the installation of VWD and, therefore, installing VWD is an effective retrofitting approach for RC frames. After test investigation, elastic and inelastic seismic responses of the RC frame were numerically simulated using finite element software Sap2000 and Canny99, respectively. A good agreement of experimental results and analysis results verified the analytical method and model used for RC structures with VWD.

지반계수의 한계값 평가를 위한 구조물-지반체계에 대한 지진응답해석

IBC와KBC 기준의 지반계수는 지반증폭 만이 고려되고 구조물-지반 상호작용 영향이 고려되지 않은 지반계수로 합리적인 구조물의 지진거동을 예측하는데 어떤 한계가 있다. 이 연구에서는 선형과 비선형 지반 위에 세워진 구조물의 탄성지진응답해석을 의사 3-D 해석으로 수행하여 구조물-지반 상호작용 영향이 고려된 지반계수의 상 하 한계값을 평가하였다. 지반의 특성은 지반 A, B, C의 경우에는 선형으로 가정하였고, 지반 D와 E의 경우에는 비선형으로 가정하여 Ramberg-Osgood 모델을 사용하여 전단파속도를 기준으로 전단탄성계수와 감쇠비 계산식을 규정하였다. 지진해석은 중 약진 지진기록 12개를 선정하여 최대 지진가속도를 0.1g와 0.2g로 조정하고, 구조물-지반 체계에 대한 의사 3-D 해석 시에는 30m 지반 하부 암반에서의 지진기록으로 변환하여 사용하였다. 구조물의 탄성 지진응답해석을 통해서 얻은 결과로부터 구조물-지반 상호작용 영향을 고려한 새로운 표준응답스펙트럼과 단주기 영역 및 주기 1초에서의 지반계수 <TEX>$F_{a}$</TEX>와 <TEX>$F_{v}$</TEX>의 상 하 한계값을 제시하였으며, KBC 기준을 위한 새로운 지반계수도 제안하였다. Site coefficients in IBC and KBC codes have some limits to predict the rational seismic responses of a structure, because they take into account only the effect of the soil amplification without the effects of the structure-soil interaction. In this study, upper and lower limits of the site coefficients are estimated through the pseudo 3-D elastic seismic response analyses of structures built on the linear or nonlinear soil layers taking Into account the effects of the structure-soil interaction. Soil characteristics of site classes of A, B and C were assumed to be linear, and those of site classes of D and E were done to be nonlinear and the Ramberg-Osgood model was used to evaluate shear modulus and damping ratio of a soil layer depending on the shear wave velocity of the soil layer, Seismic analyses were performed with 12 weak or moderate earthquake records scaled the peak acceleration to 0.1g or 0.2g and deconvoluted as earthquake records at the bedrock located at 30m deep under the outcrop. With the study results of the elastic seismic response analyses of structures, new standard response spectrum and upper and lower limits of the site coefficients of <TEX>$F_{a}\;and\;F_{v}$</TEX> at the short period range and the period of 1 second are suggested including the effects of the structure-soil interaction, and new site coefficients for the KBC code are also suggested.

Seismic Response of R‐C Frame Structure Controlled by Ved

Based on the character of R‐C frame, the calculation formula of VED is derived from the sub‐structure plan of lateral resistant force, the definition of equivalent stiffness matrix and equivalent additional viscoelastic force vector of VED is given and the seismic dynamic equation of R‐C frame controlled by VED is set up, the viscoelastic additional force vector of VED should be considered as outside load of structure and be calculated through the pseudo‐loading method, the programs of calculating the dynamic characteristic, calculating the elastic seismic response and calculating the elastic‐plastic seismic response of R‐C frame controlled by VED are compiled. Through the calculation of a inclined crossed R‐C frame, the results show that VED is effective in controlling the seismic response of frame and the pseudo‐loading method is reliable in the calculation.

연약지반의 비선형성이 탄성 및 비탄성 지진응답스펙트럼에 미치는 영향

Inelastic seismic analysis is necessary for the seismic design due to the nonlinear behavior of a structure-soil system, and the importance of the performance based design considering the soil-structure interaction is recognized for the reasonable seismic design. In this study, elastic and inelastic seismic response analyses of a single degree of freedom system on the soft soil layer were peformed considering the nonlinearity of the soil for the 11 weak or moderate, and 5 strong earthquakes scaled to the nominal peak acceleration of 0.075g, 0.15g, 0.2g and 0.3g. Seismic response analyses for the structure-soil system were peformed in one step applying the earthquake motions to the bedrock In the frequency domain, using a pseudo 3-D dynamic analysis software. Study results indicate that it is necessary to consider the nonlinear soil-structure interaction effects and to perform the performance based seismic design for the various soil layers rather than to follow the routine procedures specified in the seismic design codes. Nonlinearity of the soft soil excited with the weak earthquakes also affected significantly to the elastic and inelastic responses due to the nonlinear soil amplification of the earthquake motions, and it was pronounced especially for the elastic ones.

On the inelastic seismic response of asymmetric buildings under bi-axial excitation

The elastic and inelastic seismic response of plan-asymmetric regular multi-storey steel-frame buildings has been investigated under bi-directional horizontal ground motions. Symmetric variants of these buildings were designed according to Eurocodes 3 and 8. Asymmetric buildings were created by assuming a mass eccentricity in each of the two principal directions. The torsional response in the elastic and inelastic range is qualitatively similar with the exception of the stiff edge in the strong direction of torsionally stiff buildings and the stiff edge in the weak direction of torsionally flexible buildings. The response is influenced by the intensity of ground motion, i.e. by the magnitude of plastic deformation. In the limiting case of very strong ground motion, the behaviour of initially torsionally stiff and initially torsionally flexible buildings may become qualitatively similar. A decrease in stiffness due to plastic deformations in one direction may substantially influence the behaviour in the orthogonal direction. The response strongly depends on the detailed characteristics of the ground motion. On average, torsional effects are reduced with increasing plastic deformations, unless the plastic deformations are small. Taking into account also the dispersion of results which is generally larger in the inelastic range than in the elastic one, it can be concluded that (a) the amplification of displacements determined by the elastic analysis can be used as a rough estimate also in the inelastic range and (b) any favourable torsional effect on the stiff side of torsionally stiff buildings, which may arise from elastic analysis, may disappear in the inelastic range. The conclusions are limited to fairly regular buildings and subject to further investigations. Copyright © 2005 John Wiley & Sons, Ltd.

비선형 연약지반을 고려한 약진에 의한 비탄성 응답스펙트럼

Seismic design codes developed taking into account the strong earthquakes may result in unnecessary economical loss in the low seismic area, and the importance of the performance based design considering the soil-structure interaction is recognized for the reasonable seismic design. In this study. elastic and inelastic seismic response analyses of a single degree of freedom system on the soft soil layer were performed considering the nonlinearity of the soil for the 1 weak earthquakes scaled to the nominal peak accelerations of 0.07g and 0.11g. The seismic response analyses were performed in one step applying the earthquake motions to the bedrock, utilizing a pseudo 3-D dynamic analysis software of the soil-structure system. The study results indicated that seismic response spectra of a system assuming the rigid base or the linear soil layer does not represent the true behavior of a structure-soil system, and it is necessary to take into account the nonlinear soil-structure interaction effects and to perform the performance based seismic design for the various soil layers, having different characteristics, rather than to follow the routine design procedures specified in the design codes for the reasonable seismic design. The nonlinearity of the soft soil excited with the weak seismic motions also affected significantly on the elastic and inelastic seismic response spectra of a system due to the nonlinear soil amplification of the earthquake motions, and it was pronounced especially for the elastic response spectra.

Inelastic seismic response of adjacent buildings linked by fluid dampers

Using fluid dampers to connect adjacent buildings for enhancing their seismic resistant performance has been recently investigated but limited to linear elastic adjacent buildings only. This paper presents a study of inelastic seismic response of adjacent buildings linked by fluid dampers. A nonlinear finite element planar model using plastic beam element is first constructed to simulate two steel frames connected by fluid dampers. Computed linear elastic seismic responses of the two steel frames with and without fluid dampers under moderate seismic events are then compared with the experimental results obtained from shaking table tests. Finally, elastic-plastic seismic responses of the two steel frames with and without fluid dampers are extensively computed, and the fluid damper performance on controlling inelastic seismic response of the two steel frames is assessed. The effects of the fundamental frequency ratio and structural damping ratio of the two steel frames on the damper performance are also examined. The results show that not only in linear elastic stage but also in inelastic stage, the seismic resistant performance of the two steel frames of different fundamental frequencies can be significantly enhanced if they are properly linked by fluid dampers of appropriate parameters.

Elastic and Inelastic Seismic Response of Buildings with Damping Systems

The effect of damping on the response of elastic and inelastic single-degree-of-freedom systems was studied by nonlinear response-history analysis using earthquake histories that matched on average a 2000 NEHRP spectrum on a stiff soil site for a region of high seismic risk. New displacement reduction factors for levels of damping greater than 5% of critical are presented. New equations to relate inelastic and elastic displacements in the short-period range, for levels of damping greater than 5% of critical, are presented. The technical basis for reducing the minimum design base shear in damped buildings by a maximum of 25%, from that required for the corresponding undamped building, is derived based on comparable levels of damage in both the damped and undamped buildings.

지반의 비선형성을 고려한 암반지진에 의한 구조물의 수평방향 탄성거동

지반조건은 구조물의 지진거동에 매우 큰 영향을 미치고 성능에 기준한 내진설계에 중요한 요소이다. 이 논문에서는 지진에 의한 지반의 비선형성을 포함한 지반의 비선형성이 구조물의 탄성지진거동에 미치는 영향을 지반 구조물 일괄해석 유한요소법과 지반의 비선형성을 구현하기 위해 Ramberg-Osgood 토질모델에 대한 근사선형 반복해석법으로 연구하였다. 연구는 말뚝기초의 유무를 고려한 주기가 변하는 선형 단자유도계에 지표에서 기록된 1940년 EI Centre지진을 적용하여 수행하였다. 연구결과에 의하면 연약지반의 비선형 특성 영향이 구조물의 탄성 지진거동에 매우 중요하곡 성능에 기준한 지반의 비선형성을 고려한 구조물의 내진설계가 필요하다는 것을 잘 보여주고 있다. Site soil condition affects significantly on the seismic response of a structure and is a critical factor for the performance based seismic design of a structure. In this paper, the effects of nonlinear soil properties on the elastic response spectra of a structure including the nonlinearity of a soil due to the earthquake excitation is investigated using one step finite element approach for the entire soil structure system and approximate linear iterative procedure to simulate the nonlinear soil behavior with the Ramberg-Osgood soil model. Studies were carried out for a linear SDOF system of a variable period with and without a pile group for the 1940 CI Centro earthquake recorded on ground rather than rock. The study results showed clearly that the effect of the nonlinear behavior of soft soil is very important on the elastic seismic response of a structure suggesting the necessity of the performance based seismic design.

Evaluation of the seismic response coefficient introduced in the Canadian Highway Bridge Design Code

This paper describes results from an evaluation study of the elastic seismic response coefficient introduced in the Canadian Highway Bridge Design Code. The evaluation is conducted by comparing the seismic response coefficient with (i) uniform hazard spectra for selected cities in eastern and western Canada, (ii) spectra of numerically simulated ground motions for sites in British Columbia for scenario earthquakes on the Cascadia subduction zone, (iii) spectra of the 1988 Saguenay, Quebec, earthquake records and selected ensembles of recorded accelerograms from strong earthquakes around the world, and (iv) bridge design spectra of other countries. The results from this study show that the seismic response coefficient of the Canadian Highway Bridge Design Code is conservative in terms of the Canadian seismic hazard, with the exception of (i) sites close to the Cascadia subduction zone and (ii) sites for which the seismic hazard is governed by the effects of strong earthquakes at large epicentral distances. Key words: seismic, response, coefficient, acceleration, spectra, bridge, design, code.