考虑非对称效应的非线性结构超谐共振与亚谐共振

本文将考虑空间效应非对称刚度的单层结构简化为三个自由度体系，用多尺度法研究了体系在强激励下的超谐共振与亚谐共振时的动力行为，通过算例分析得到一些不同于线性结构的结论，为结构非线性抗震分析提供了途径。     

地基-非线性结构相互作用体系的主共振与分叉

本文考虑上部结构的恢复力为双线型模型,地基上简化为集中参数模型,运用平均法研究相互作用体系的主共振,得到主共振的定数解并讨论其稳定性。文中导出相互作用体系的分叉方程,并根据厅异性理论给出开折参数平面下的分叉图和转迁集,讨论不同物理参数域内系统的振动行为并通过算例得到一些定性的结论。     

考虑空间效应的非线性结构主共振分析

本文针对考虑空间效应非对称刚度的单层结构，利用能量法得到了结构水平侧移和扭转相耦合的振动方程，采用多尺度法研究了侧移刚度和扭转刚度之间有某一关系时的主共振，分析了结构主共振的定常解并且讨论了其稳定性，通过算例分析得到了考虑空间效应时结构的一些有益的结论。     

地基-非线性结构相互作用体系的 超谐和亚谐振动

本文对上部结构的以线型恢复力进行最小二乘法拟合，得到类似于Duffing振子的恢复力曲线模型，地基上简化为集中参数模型，运用多尺度法研究地基－结构相互作用体系在强激励下当频率接近结构的三分之一固有频率（超谐共振），三倍固有频率（亚谐共振）时的非线性动力行为，并通过算例得到了异频振动时一些有益的结论。     

结构-地基体系水平与扭转位移耦合效应研究

采用动力理论对地基-结构非线性相互作用体系的振动方程进行了定性分析.基于多线性随动强化模型,采用非线性有限元法求解了基础和地基土之间的水平刚度与摇摆刚度,建立了结构-地基非线性相互作用体系的力学模型.利用拉格朗日能量法推导了结构水平位移和扭转相耦合的振动方程.采用多尺度法研究了结构-地基相互作用体系的主共振.通过分析不...     

双向地震耦合作用下浅埋偏压黄土隧道共振特性研究

历次震害表明隧道等地下结构受地震影响较大,当地震动的卓越频率与结构的固有频率一致时,引发的共振会对结构产生更严重的破坏。针对共振这一地震中的特殊现象,通过ANSYS分析研究浅埋偏压黄土隧道在双向地震耦合作用下隧道衬砌各处的共振响应和围岩至衬砌段共振响应峰值的变化规律,同时考虑偏压角度和断面最大跨径对共振响应峰值的影响。研究结果表明：浅埋偏压黄土隧道具有多阶固有频率,衬砌的位移和应力均出现了共振现象且共振不表现出结构的自振频率特征;从围岩至衬砌段的共振响应具有放大效应;水平位移峰值随偏压角度的增大而减小;适当增大断面最大跨径对于抵抗共振是有利的;拱腰和拱脚处的主应力受共振影响较大,在隧道的抗震设计中应予以加强。     

周期径向荷载作用下圆弧格构拱动力稳定性分析

基于结构弹性稳定理论,根据能量法推导出以位移为基本未知量的圆弧格构拱总势能,从Hamilton原理出发,建立了考虑剪切变形的圆弧格构拱的动力稳定微分方程.利用Galerkin方法将其转化为二阶常微分Mathieu型参数共振方程,求得周期解所包围的动力不稳定区域,探讨了圆弧格构拱发生参数共振的动力稳定性问题,分析了缀条面...     

非线性多自由度结构地震反应的共振特性与突变分析

由渐近解法，在主坐标中给出了非线性多自由度结构地震反应的渐近解，利用渐近解计算了共振区振幅-频率响应的一系列数值结果，进而分析了系统参数对共振区反应特性的影响及突变性质。地震反应中表现出来的突变性、共振畸变、“路径”效应等复杂的非线性特性，对结构系统的动力特性有重要影响。     

内共振对斜拉索面内瞬时相频特性的影响

为研究内共振对斜拉索的瞬时相频特性的影响,利用多尺度法对拉索面内分布激励下的运动方程进行摄动求解,分别得到不计内共振和计内共振2种状态下面内主共振响应的近似解析式以及其稳态方程,最后采用Hilbert变换分别得到两者面内响应与激励的瞬时相位差及其幅值.同时在小垂度条件下,研究了不同索力下内共振对拉索面内响应与激励的瞬时...     

土-结构相互作用问题中的放大效应研究

在土-结构动力相互作用问题的研究中,当土层与结构的自振频率相接近时,可能会出现类共振,对此进行了土-框架结构相互作用的振动台试验,将试验结果与刚性地基情况进行对比,选取的指标包括加速度、层间位移及应变峰值。结果表明:考虑土-结构相互作用的影响后,加速度、层间位移和框架应变均较刚性地基时有大幅的增加,应变峰值比最大可达到7倍,加速度峰值比最大可达5倍多,而位移峰值比最大约3倍左右。     

Analyzing the effect of moving resonance on seismic response of structures using wavelet transforms

There is a complex interaction between the seismic response (i.e., peak displacements) of a nonlinear structure and the characteristics of a ground motion. One ground motion characteristic that contributes to record‐to‐record variability is spectral nonstationarity, or the variation of signal's frequency content with time. When the predominant natural periods of a nonlinear structure elongate in such a way as to match with the predominant frequency content in the ground motion, a phenomenon called moving resonance occurs. The effect of moving resonance on the response of nonlinear structures is investigated. Continuous complex wavelet transforms are used to examine the spectral nonstationarity of ground motion acceleration histories and associated structural displacement histories to identify the occurrences of moving resonance. A three‐dimensional displacement response spectrum is used to determine which combinations of initial period and strength create the largest displacements and thus are candidate configurations for experiencing moving resonance. A method is then proposed for quantifying the effect of moving resonance on structural response. The method utilizes discrete wavelet transforms to decompose a ground motion into component signals with limited frequency band and examines the structural response due to each individual component. A discussion is provided as to how these tools can be used to identify ground motion characteristics that may be conducive to moving resonance. Copyright © 2013 John Wiley & Sons, Ltd.     

The interaction of elasticity and rocking in flexible structures allowed to uplift

Numerous structures uplift under the influence of strong ground motion. Although many researchers have investigated the effects of base uplift on very stiff (ideally rigid) structures, the rocking response of flexible structures has received less attention. Related practical analysis methods treat these structures with simplified ‘equivalent’ oscillators without directly addressing the interaction between elasticity and rocking. This paper addresses the fundamental dynamics of flexible rocking structures. The nonlinear equations of motion, derived using a Lagrangian formulation for large rotations, are presented for an idealized structural model. Particular attention is devoted to the transition between successive phases; a physically consistent classical impact framework is utilized alongside an energy approach. The fundamental dynamic properties of the flexible rocking system are compared with those of similar linear elastic oscillators and rigid rocking structures, revealing the distinct characteristics of flexible rocking structures. In particular, parametric analysis is performed to quantify the effect of elasticity on uplift, overturning instability, and harmonic response, from which an uplifted resonance emerges. The contribution of stability and strength to the collapse of flexible rocking structures is discussed. Copyright © 2012 John Wiley & Sons, Ltd.     

简谐横荷载作用下Winkler地基上有限长梁1/3次亚谐共振分析

基于Winkler地基模型及Euler - Bernoulli梁理论,建立了Winkler地基上有限长梁的非线性运动方程.运用Galerkin方法对运动方程进行一阶模态截断,得到离散的非线性振动方程,利用多尺度法求得该系统1/3次亚谐共振的一阶近似解.分析了长细比、弹性模量、地基刚度、阻尼、密度等参数对其亚谐共振幅频响...     

On the seismic performance of straight integral abutment bridges: From advanced numerical modelling to a practice-oriented analysis method

The seismic performance of integral abutment bridges (IABs) is affected by the interaction with the surrounding soil, and specifically by the development of interaction forces in the embankment-abutment and soil-piles systems. In principle, these effects could be evaluated by means of highly demanding numerical computations that, however, can be carried out only for detailed studies of specific cases. By contrast, a low-demanding analysis method is needed for a design-oriented assessment of the longitudinal seismic performance of IABs. To this purpose, the present paper describes a design technique in which the frequency- and amplitude-dependency of the soil-structure interaction is modelled in a simplified manner. Specifically, the method consists of a time-domain analysis of a simplified soil-bridge model, in which soil-structure interaction is simulated by means of distributed nonlinear springs connecting a free-field ground response analysis model to the structural system. The results of this simplified method are validated against the results of advanced numerical analyses, considering different seismic scenarios. In its present state of development, the proposed simplified nonlinear model can be used for an efficient evaluation of the longitudinal response of straight IABs and can constitute a starting point for a prospective generalisation to three-dimensional response.     

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。