Beam element end release by extra degree of freedom method

This paper develops a new method of extra degree of freedom (extra DOF) for the beam element with end release. Based on the strain matrix with extra DOFs, it derives the stiffness transformation matrix of released element, which can be applied to situations along global coordinate system or element local coordinate system. The effects of end release processing method for beams with large displacement are analyzed, and the results compared with those from other existing methods show that the extra DOF processing method has higher performance and accuracy.     

Reinforced Concrete Beam's Stiffness Degeneration Regulation and its Calculation Formula Under the Action of Fatigue Load

Fatigue failure is a fatal damage for the reinforced concrete structure bearing fatigue load repeatedly. That how to estimate or describe the degree of fatigue damage is a challenge in areas of structure damage and lifespan estimation. Structure's stiffness degenerates irreversibly along with the damage progress. There is a certain inherent relevance between stiffness degeneration and fatigue damage. A series of fatigue tests were carried out to study stiffness degeneration regulation due to its simplicity and feasibility. According to the test results, reinforced concrete beam's stiffness degeneration presents a three-stage rules obviously, and the stiffness degeneration curves accord with "S" style. Based on the stiffness degeneration regulation, the reinforced concrete beams' stiffness degeneration calculation formula is obtained by fitting experimental data. The formula has a perfect goodness of contact area with 10 test beams' experimental results, and it can describes reinforced concrete beams' stiffness degeneration perfectly. The formula can be used to forecast the deformation developing. Meanwhile, the residual life of the structure can be used to decision structure's fatigue fracture and the degree of performance degradation.     

X形配筋增强高强钢筋异形柱边节点抗震性能试验研究

通过对核心区应用X形配筋增强的高强钢筋异形柱边节点和同等条件下未被增强的高强钢筋异形柱边节点进行拟静力试验研究,对比分析异形柱边节点的破坏特征、滞回曲线、承载能力、位移及延性、刚度退化、耗能能力等抗震性能指标。研究结果表明,配置HRB500高强钢筋异形柱边节点比配置600 MPa级的边节点承载能低,但滞回性能好,变形能力强,刚度退化推迟,耗能能力强;在核心区加入X形配筋,均可以改善高强钢筋异形柱边节点的破坏特征,使边节点抗剪能力、变形能力、耗能能力增强,刚度退化推迟,提高异形柱边节点抗震性能,配置HRB500高强钢筋的试件核心区应用X形配筋加强后抗震性能提高效果更好。     

Axial Force Stiffness Interaction in Seismic Analysis of RC Double Column Bridges

Earthquake induced dynamic axial force in reinforced concrete (RC) bridge bent columns will not only change the yield strength of the columns but also change their stiffness, which is seldom considered by the common lumped plasticity line model. Based on the fiber element model results that taking into account the influence of dynamic axial force on strength and stiffness simultaneously, the axial force stiffness interaction effect on the seismic responses of RC double column bridges was analyzed. The results show that, axial force stiffness interaction has a large effect on the seismic responses of the double column bridge in the elastic range, and it does not alter the ultimate capacity of the columns. Since the stiffness of the columns under compression and tension dynamic axial forces offset each other, the global displacement of bridge bent with equal columns is relatively unaffected by the axial force stiffness interaction, however, the differences of the column member forces are manifest. For the short column controls the global stiffness, the axial force stiffness interaction has significant influences on both the global displacement and member force responses. The influences become larger as the irregularity of the bridge bent increases, so the interaction between axial force and member stiffness should be sufficiently considered in seismic analyses.     

Numerical Simulations and Design Method of Coupled Wall System with FRC Coupling Beams

Using the software, ABAQUS, accurate simulations of seismic behavior of 2 coupled wall specimens and 2 cantilever structure wall specimens using high performance fiber reinforced concrete (FRC) in plastic hinge under quasi static cyclic loading were carried out. The analysis model proves to be effective with the accordance between results of computation and experiment, then it can be used to analyze the seismic behavior of coupled wall system with FRC coupling beams. By using the verified numerical model, the ability of FRC coupling beams instead of RC coupling beams to provide acceptable performance was discussed. In addition, the impact of coupling ratio on seismic behavior of coupled walls was studied. The results show that coupled walls in which FRC coupling beams are used instead of traditional RC beams have good energy dissipation and ductility, and its initial stiffness is increased and stiffness degradation is slow. And as the coupling ratio of coupled wall structures increases, the stiffness and strength increase. But if the coupling ratio is too large, the ductility and energy dissipation capacity will be significantly reduced.     

原状黄土冻融过程抗剪强度劣化机理试验分析

通过对西安Q₃原状黄土在封闭系统冻融作用下的电镜扫描和直剪试验,研究了冻融作用对原状黄土微观结构和强度的影响。试验表明：冻融过程中原状黄土微观结构发生显著变化,大颗粒集粒数量明显减少,小粒径土颗粒所占比重增加,孔隙面积比增加。进一步基于损伤力学理论,得到微观结构冻融损伤度随冻融次数增加呈指数增加趋势,反映出冻融作用一定程度上破坏黄土体的结构强度,但多次冻融后黄土体结构强度趋于稳定的残余强度。冻融过程土样表面结构发生破坏,且含水率越高,土体表面特征破坏越严重。粘聚力随冻融次数增加呈指数衰减趋势,且含水率越高,粘聚力衰减幅值和速率越小;粘聚力随含水率增加表现出线性衰减特征,且冻融后粘聚力与含水率的变化规律近似重合;内摩擦角无明显规律性变化。粘聚强度冻融损伤系数随冻融次数增加呈指数增加趋势,随含水率升高有增大趋势。基于试验数据规律性,进一步提出了原状黄土粘聚强度劣化模型,该模型经试验验证可较好描述原状黄土粘聚强度劣化规律。     

Fuzzy Assessment Method for Seismic Damage of CFST Arch Bridges

In order to investigate the conditions of damage and failure of concrete-filled steel tube(CFST) arch bridges, considering the structural and mechanical characteristics of CFST arch bridges, the dual damage criteria assessment models of the various components based on deformation or strength and energy were developed. The nonlinear seismic response of CFST arch bridges was analyzed by finite element method and the fuzzy evaluation method of seismic damage based on fuzzy theory and analytic hierarchy process was studied. Finally, taking a long-span CFST arch bridge as example, the damage index of the bridge was 0.150, 0.152, 0.172 and 0.318 respectively when the seismic peak acceleration was respectively 0.1g, 0.2g, 0.4g and 0.8g. The results show that the CFST arch bridge is slightly damaged under the earthquake when the seismic peak acceleration is 0.4g, and the bridge is damaged moderately when the peak acceleration is 0.8g.     

An improved method for and error evaluation of modal pushover analysis

Based on evaluation of the basic principle and error of the modal pushover analysis method, an improved method is suggested by selecting rational values of stiffness reduction parameters of beams and columns in a reinforced concrete frame corresponding to the global target displacement ductility ratio. A 10 story and a 16 story reinforced concrete plane frame are designed as examples to investigate the influence of higher modes. Nonlinear seismic responses of the two frames under excitations of seven earthquake waves of varying earthquake intensities are selected to be the reference points for a comparison study. The changing rules of the results of modal pushover analysis and modified modal pushover analysis with respect to various natural fundamental periods and different earthquake intensities are studied. Research results show that the error of modal pushover analysis and modified modal pushover analysis will not increase with a larger fundamental period, which implies that modal pushover analysis can cover the effect of higher modes reasonably. When the degree of nonlinearity of the structure is more severe, the modified modal pushover analysis we suggest could decrease the error of normal modal pushover analysis to a certain extent.     

Seismic Response Analysis of Transmission Tower-line System under Multi-component Ground Motion Excitations

Seismic responses of power transmission tower-line system under multi-component excitations were analyzed by numerical simulation. A three-dimensional finite element model of transmission tower-line coupled system considering the geometric nonlinearity of transmission line was established. Twelve seismic records of different soil types were selected based on Code for Design of Seismic of Electrical Installations. Seismic responses of power transmission tower-line system under single component, two horizontal component and multi-component excitations were investigated using nonlinear time history analysis method, respectively. The results show that the responses of transmission tower-line system under multi-component excitations are significantly larger than those under single component excitation only, especially for considering vertical ground motion excitation only, and neglecting multiple nature of ground motion in analysis will underestimate the responses of the structure. To obtain an accurate seismic response and a better seismic design of transmission tower-line system, multi-component ground motion inputs need to be considered. The results provide reference for seismic design of transmission line practical engineering.     

Failure Mechanism and Mechanical Properties of CFRP Strengthened Super-servicing Reinforced Concrete Poles

Super-servicing reinforced concrete poles (RCP) which come from a road section in a power grid, including six pole shafts and six specimens with a mid-span steel joint, were selected as samples to conduct a flexural strength test, in which three shafts and three poles with steel joint in the middle span were strengthened by CFRP in the longitudinal direction. The mechanical behavior and failure mechanism under different CFRP layers pasted were comparatively studied. Based on the measured test data, the calculation methods of strength and stiffness were investigated, and the mathematical expression of stiffness degradation mechanism was proposed. The result shows that the final failure mode of CFRP strengthened poles is the local bond failure between CFRP material and the external concrete, and the longitudinal CFRP is snapped. The process of damage is rapid and brittleness. The mean strain of cross-section is in accord with the assumption of plane cross-section. The strength degradation of shaft specimens without strengthened is throughly serious. As for the strengthened poles, the bearing capacity and stiffness under each forcing stage are improved with different levels. The damage of strengthened specimens develops faster and more intensive than that of none-strengthened ones. When multi-aspects are synthetically considered, there is a suggestion that double layers of CFRP should be pasted along the longitudinal in the joint of the site within a certain distance, and the single layer of CFRP should be adopted in the shaft.     

Seismic Damage Analysis and Disaster Mitigation Approaches for Urban Gas Piping Systems

Based on the analysis of seismic damage effect and induced secondary disasters on urban gas piping systems, the seismic damage characteristics and influencing factors were discussed, such as seismic intensity, geologic conditions and piping system characteristics. Moreover a series of earthquake disaster mitigation approaches were proposed for urban gas piping system, including:(a)aseismatic design of urban gas facilities; (b)erosion monitoring and replacement of old pipelines;(c)automatic gas shut off system and district gas supply; (d) gas supply recovery after fault finding and treatment of damage pipelines; (e)establishment of real time seismic data acquisition and rapid pipeline damage estimation system; (f)establishment of emergency response management system; (g)establishment of urban gas network seismic disaster risk assessment and simulation system.     

Dynamic Characteristics of Structure-Soil-Structure System for Two Neighbor Buildings

In order to realize the variation of structural dynamic characterics due to neighbor structures in buildings, the surface structure is idealized as an equivalent single degree of freedom system with rigid base whose site consists of a single homogeneous layer. The dynamic characteristics of three-dimensional structure-soil-structure interaction system, including two identical structures, are investigated to identify the additional effects caused by the presence of a second structure. When comparing the data from the soil-structure system with only one structure and the structure-soil-structure system, two close natural frequencies with opposite phase modes are identified. Therefore, the term twin-frequency is proposed. Next, the value of twin-frequency varying with the frequency ratio of structure to soil is discussed. Meanwhile, the relative distance between two structures and the ratio of foundation width to soil thickness are covered. The data will be used to consider the coupling effects of soil on the dynamic characteristics of structure-soil-structure systems. Finally, a numerical case of seismic response of the structure-soil-structure system is calculated under traveling wave excitations. The numerical results indicate that the twin-frequencies cause beatings of the structures as well as ground motion.     

Response Spectrum Method for Seismic Response Calculation of Pipeline System Multiply Supported on Structures

In order to ensure the function of building in the earthquake, reduce economic losses and facilitate post-disaster relief, it is necessary to accurately evaluate the seismic performance of pipeline system on the structure under seismic excitation. Considering this practical need, seismic response calculation methods of piping systems on structures were systematically studied. Firstly, theoretical derivation was performed based on the pseudo-excitation method for seismic response of pipeline system. It is found that the formula in previous studies has obvious defect: the accurate relative displacement values of degree of freedom near the supports can not be obtained in the formula. Thereby, the theoretical basis for derivation was mended to correct the defect, and the uniform combination expressions available for pipeline's seismic response calculation which is in the form of ground response spectrum or floor response spectrum were presented. Moreover, the simplified formulas and calculation method of correlation coefficients in the obtained expressions were put forward according to the assumption of white noise earthquake excitation. Finally, case studies were adopted to verify the proposed method's effectiveness and applicability in the seismic response calculation of pipeline system.     

Numerical Simulation Analysis on Ductility Performance of High Strength RC Frame Structure

High-strength concrete has been widely used in civil structures for advantages of higher-strength, earlier curing strength and smaller deformation in applications. However, relatively weak ductility in structures in seismic zones prevented it from further application. The ductility of the structure can be improved by reinforcing reasonably rebars in correct details. A high strength RC frame model with twelve floors and two bays is numerically analyzed by using DRAIN-2DX program. It was shown that this worked fairly well in simulation of the process of structural damage and energy dissipation capacity. It also showed that this kind of frame structure has good ductility and dissipation capacity as well as great seismic performance. The proposed method can be applied in high-strength concrete structures in seismic zone.     

Improved Modal Capacity Spectrum Method for Estimating Seismic Performance of Structures

Performance-based seismic design involves how to confirm inelastic displacement demand of structures under earthquake in concise and reasonable way. Two shortages need to improve in analyzing the elastic-plastic seismic responses of structures if the traditional capacity methods are employed. The shortages are the uncertainty of equivalent high damp of elastic-plastic structures and the limitation of the higher order vibration mode effect being not taken into account. To solve these problems, the authors propose the concept and analyzing process of improved capacity spectrum method based on modal pushover analysis and the elastic seismic responses spectrum modified by strength reduction coefficient and ductile coefficient. The example of analyzing the performance of frame structure is shown which may be a simple and effective method used in engineering. This method has application potential in Performance-based seismic design.     

Practical Method for Dynamical Analysis to the Interlayer Seismic Isolation Masonry Building with Frame Structure in the First Storey

Masonry buildings with R/C frame- shear wall in the bottom storey have been widely used in city construction, which include two kinds of lateral force resistant system. However, the seismic behavior of the building is poor. Based on the characteristics that the rigidity of the upper masonry structure is much bigger than the rigidity of laminated rubber bearings and frame structure. It can be referred to as system having a two degree of freedom. The dynamic behavior of this building is analyzed, the isolated vibration mode controls the response of system. The authors give apractical method for dynamical analysis to masonry building with frame structure in the first storey with laminated rubber bearings between the first and second storey , which submits efficient path to found applicable design means and to generalize interlayer seismic isolation structure.     

Maximum Displacement Estimation of Seismic Structures Based on Hysteresis Energy

Based on characteristics of hysteretic energy of structures which are simplified single freedom degree systems and under the short duration impulse modle mid duration and long duration modle earthquakes, correlation between the maximum hysteretic energy increment per cycle and the maximum inelastic displacement of different structures is investigated. Simplified equations to estimate the maximum inelastic displacement are obtained. The validity of the equation is recognized. It is pointed out that the impact destroy of the structures may occur when energy increment per cycleis 50 80 percent of total hysteretic energy, and the maximum hysteretic energy increment per cycle, and that the maximum inelastic displacement can be used to evaluate aseismic capacity.If energy increment per cycleis small relative to total hysteretic energy, the destroy of the structures by cumulate dissipation energy may occur, and the total hysteretic energy can be used to evaluate aseismic capacity.     

地震作用下框架整体与局部损伤的相关性

根据框架结构耗散塑性变形能与存储弹性变形能能力的损失界定结构的整体损伤,根据塑性铰耗散塑性变形能能力的损失来界定局部损伤,并以拟力法为基础推导了局部损伤与整体损伤的解析表达式,进而讨论框架结构局部损伤与整体损伤的相关性。研究表明,控制框架结构整体损伤的手段有：减小局部损伤区域的强度衰减、提高局部损伤区域的极限转动能力和减小局部损伤区域的残余变形。其机理是通过提高局部损伤区域的耗能能力与约束能力来提高整个结构耗散与存储地震能量的能力;框架结构整体损伤与局部损伤的加权值较为接近,可以采用框架局部损伤的加权值来近似估计结构的整体损伤值。     

RC加气混凝土砌块组合墙加固框架抗震性能试验研究

RC加气混凝土砌块组合墙（简称组合墙）是由混凝土梁柱网格与加气混凝土砌块组合形成的一种轻型网格式抗震墙,可用于框架结构的抗震加固。笔者进行了1/2比例空框架试件、组合墙试件和组合墙加固框架试件的低周反复荷载试验,分析了各试件的主要破坏过程,对比了组合墙加固框架前后试件承载能力、刚度等抗震性能变化。试验结果及分析表明：组合墙加固框架后承载力、抗侧刚度有较大幅度提高,中大震及大震阶段其承载力、等效刚度约为空框架和组合墙单独受力之和的0.9倍,两者具有良好的协同工作性能;加固试件的破坏过程基本上遵循填充砌块混凝土框格外框架的破坏顺序,能够发挥组合墙多重抗震防线的特点,采用RC加气混凝土砌块组合墙加固框架是一种较为经济实用的加固方法。