Winkler地基梁在温度场中受简谐激励的1/3次亚谐共振分析

研究W inkler地基梁在温度场中受简谐激励作用的1/3次亚谐共振问题。应用弹性理论和Galerk in方法建立W inkler地基梁在温度场中受简谐激励作用的非线性动力方程,根据非线性振动的多尺度法求得系统满足1/3次亚谐共振情况的一次近似解,并对其进行数值计算,分析了温度、调谐值、激励、阻尼、地基刚度等参数对系统的影响。     

Winkler地基上有限长梁联合共振分析

为进一步完善弹性地基上梁的非线性振动理论以及满足实际工程的需要,本文对三种联合共振情况进行了研究。文中基于已建立的Winkler地基上有限长梁的非线性振动方程,运用Galerkin离散法以及多尺度法推导其稳态运动方程组,分析了主/次联合共振时,结构参数及初始条件对系统幅频响应曲线、调谐-相位曲线的影响,初步探讨了主/超联合共振、次/超联合共振的基本性质。研究结果表明:当且仅当两个激励频率是可公度关系时,联合共振才存在稳态响应;对于一个给定的调谐参数,系统最多存在七个解,而解的最终形式是由初始条件决定;系统参数及初始条件的微小变动,可能会激烈地改变系统的响应;工程中为了较好地抑制结构的振动,必须选择合适的方法提高系统的刚度。     

Winkler地基上有限长梁的组合共振响应分析

基于Winkler地基模型及Euler-Bernoulli梁理论,建立了两个横向激励共同作用下Winkler地基上有限长梁的组合共振模型,运用Galerkin方法和多尺度方法求得组合共振幅频响应方程,进而研究地基刚度、弹性模量、黏滞阻尼、外激励幅值等主要参数对其幅频响应曲线的影响。研究结果表明:增大地基刚度、弹性模量、黏滞阻尼或减小外激励幅值均可减小梁的响应幅值。黏滞阻尼的变化对影响的共振区域并无影响。     

Winkler地基梁在温度场中受简谐激励3次超谐共振分析

本文研究W inkler地基梁在温度场中受简谐激励作用的3次超谐共振问题,应用弹性理论和Galerk in方法建立W inkler地基梁在温度场中受简谐激励作用的非线性动力方程,根据非线性振动的多尺度法求得系统满足3次超谐共振情况的一次近似解,分析了温度、阻尼、激励幅值、地基刚度等参数对系统的影响。     

地基-非线性结构相互作用空间效应的超谐和亚谐共振研究

建立了考虑空间效应的无质量基础-地基-结构相互作用模型,将模型简化为三个自由度体系,得到了考虑结构水平侧移和扭转位移相耦合的振动方程,用多尺度法研究了体系在强激励下的超谐共振和亚谐共振行为,通过算例分析得到了一些不同于线性体系的结论,为结构非线性分析提供了更深刻的理论依据。     

Winkler地基梁在温度场中受简谐激励的主共振分析

研究W inkler地基梁在温度场中受简谐激励作用的主共振问题。应用弹性理论和Galerk in方法建立W inkler地基梁在温度场中受简谐激励作用的非线性动力方程。应用非线性振动的多尺度法,求得系统主共振的近似解。分析不同参数对主共振响应曲线的影响。     

非线性弹性地基上圆形薄板三次超谐共振

本文研究非线性地基上圆形薄板受简谐激励的次谐波共振问题。按照弹性力学理论建立非线性地基上圆形薄板受简谐激励的动力学方程。利用Galerk in方法将其转化为非线性振动方程。应用非线性振动的多尺度法求得系统满足3次超谐共振条件的一次近似解,并进行数值计算。分析阻尼、地基系数、调谐值、激励等参数对共振响应曲线的影响。     

简谐横向荷载作用下弹性地基上不可伸长梁的1/2次亚谐共振响应分析

基于已建立的弹性地基上不可伸长梁的非线性动力学模型,本文针对简谐横向荷载作用下梁的1/2次亚谐共振响应进行研究。利用弹性地基梁的非线性运动方程和多尺度方法,求得梁1/2次亚谐共振响应的二次近似解。进而,运用幅频响应曲线对梁的亚谐共振响应进行研究,并分析了边界条件、地基模型、Winkler参数等对梁非线性共振响应的影响。结果表明:三参数地基模型中弹性层的引入对其支承梁的亚谐共振响应影响显著;临界激励幅值决定了弹性地基梁1/2次亚谐共振响应非平凡解的存在性;梁端约束条件在一定程上改变了Winkler参数对梁非线性动力响应的作用效应。     

反复荷载作用下矩形钢管混凝土树状节点的非线性分析

本文在确定了往复应力作用下钢管混凝土的钢材和核心混凝土的应力-应变关系的基础上,利用纤维杆元模型,有限元模型对钢管混凝土Y形柱和十字形钢梁连接的节点的荷载-位移滞回关系曲线及其骨架曲线进行了计算,并与试验结果进行了比较。结果表明：由纤维杆元模型与试验所得的低周反复荷载作用下的骨架曲线极为相似,但在峰值荷载后差异较大;由纤维杆元模型和有限元所得的在低周反复荷载作用下滞回曲线也与在反复荷载作用下试验所得的结果相一致。纤维杆元模型能准确地预测节点的弹塑性行为和整体抗震性能,可用于节点滞回性能的非线性参数分析研究。在此基础上研究了方钢管混凝土柱的轴压比,宽厚比及核心混凝土强度对节点受力性能的影响。     

Corrective eccentricities for assessment by the nonlinear static method of 3D structures subjected to bidirectional ground motions

Nonlinear static methods are reliable in the evaluation of the seismic response of planar structural schemes, but they are not very effective in the assessment of three-dimensional building structures. The authors of this paper have recently proposed a nonlinear static approach for asymmetric structures, which is an improvement on that stipulated by seismic codes. This method is based on the observation that the distribution of the maximum dynamic displacements of the deck can be enveloped by two pushover analyses performed by applying the lateral force with two eccentricities with respect to the center of mass of the deck. These eccentricities, named “corrective eccentricities”, are defined so that the two corresponding pushover analyses provide displacements that are equal to those evaluated by nonlinear dynamic analysis at the two sides of the deck. In this paper, the corrective eccentricities are determined for a wide set of single-story systems. The equations for their analytical evaluation are determined and their reliability is demonstrated. Finally, the analysis of a multi-story structure is conducted to show how the method can be applied to real buildings. Copyright © 2012 John Wiley & Sons, Ltd.     

外包钢-混凝土组合梁与钢管混凝土柱连接节点的滞回性能研究

为研究外包钢-混凝土组合梁与钢管混凝土柱连接节点的抗震性能,基于外包钢-混凝土组合梁与钢管混凝土柱连接节点低周反复荷载作用下的试验结果和有限元的模拟,分析了两类试验节点的滞回特性,提出外包钢-混凝土组合梁与钢管混凝土柱连接节点的三折线恢复力模型及其特征参数的取值范围,并给出恢复力模型表达式。结果表明,试件具有良好的耗能能力,建立的恢复力模型骨架曲线与试验值接近;有限元与试验所得的滞回曲线及骨架曲线在弹性阶段吻合较好,随着荷载的反复,两者之间的差异逐渐增大。     

Hanger replacement influence on seismic response of suspension bridges: Implementation to the Bosphorus Bridge subjected to multi-support excitation

The effects of hanger replacement from inclined to vertical configuration on seismic response of long-span suspension bridges are investigated considering multi-support earthquake excitation. The Bosphorus Bridge is investigated due to its recent comprehensive rehabilitation, mainly involving hanger replacement. The finite-fault stochastic simulation method (FINSIM) is utilized for multi-point earthquake time-history generation. The developed finite element (FE) model both for the inclined and vertical hanger arrangement are verified through the structural health monitoring (SHM) data. Based on the comparative analysis, the tension force of vertical hangers is found to be lower than that of inclined hangers, whereas the tension force of the main and back-stay cables remains the same. The compressive axial force of the deck decreases relatively in the case of the vertical hanger arrangement, whereas the cross-sectional forces at the tower base section increase. The approach viaducts are not affected by the vertical hanger arrangement. According to the demand/capacity ratios for damage estimation under the max. earthquake (2475 years return period), structural damage on the tower base section may be expected for both hanger arrangements, while these sections perform well under design scenario earthquake. The expansion joint of the bridge with inclined hangers is also estimated to be damaged; however, this displacement is lower in the case of the vertical hanger arrangement due to the viscous dampers. The findings also reveal that a change in hanger form of a suspension bridge can necessitate other structural retrofit, such as using viscous dampers to limit longitudinal displacements of the deck and retrofitting the bridge towers.     

Influence of frequency‐dependent soil–structure interaction on the fragility of R/C bridges

Bridge performance under earthquake loading can be significantly influenced by the interaction between the structure and the supporting soil. Even though the frequency dependence of the interaction mentioned in this study has long been documented, the simplifying assumption that the dynamic stiffness is dominated by the mean or predominant excitation frequency is still commonly made, primarily as a result of the associated numerical difficulties when the analysis has to be performed in the time domain. This study makes use of the advanced lumped parameter models recently developed 1 in order to quantify the impact of the assumption on the predicted fragility of bridges mentioned in this study. This is achieved by comparing the predicted vulnerability for the case of a reference, well studied, actual bridge using both conventional, frequency‐independent, Kelvin–Voigt models and the aforementioned lumped parameter formulation. Analysis results demonstrate that the more refined consideration of frequency dependence of soil–structure interaction at the piers and the abutments of a bridge not only leads to different probabilities of failure for given intensity measures but also leads to different hierarchy and distribution of damage within the structure for the same set of earthquake ground motions even if the overall probability of exceeding a given damage state is the same. The paper concludes with the comparative assessment of the effect for different soil conditions, foundation configurations, and ground motion characteristics mentioned in this study along with the relevant analysis and design recommendations. Copyright © 2016 John Wiley & Sons, Ltd.