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1.
The objective of this research is to study the dynamic response characteristics of a three-beam system with intermediate elastic connections under a moving load/mass-spring. In this study, the finite Sine-Fourier transform was performed for the dynamic partial differential equations of a simply supported three-beam system (SSTBS) under a moving load and a moving mass-spring, respectively. The dynamic partial differential equations were transformed into dynamic ordinary differential equations relative to the time coordinates, and the equations were solved and the displacement Fourier amplitude spectral expressions were obtained. Finally, based on finite Sine-Fourier inverse transform, the expressions for dynamic response of SSTBS under the moving load and moving mass-spring were obtained. The proposed method, along with ANSYS, was used to calculate the dynamic response of the SSTBS under a moving load/mass-spring at different speeds. The results obtained herein were consistent with the ANSYS numerical calculation results, verifying the accuracy of the proposed method. The influence of the load/mass-spring’s moving speed on the dynamic deflections of SSTBS were analyzed. SSTBS has several critical speeds under a moving load/mass-spring. The vertical acceleration incurred by a change in the vertical speed of SSTBS due to the movement of mass-spring and the centrifugal acceleration produced by the movement of massspring on the vertical curve generated by SSTBS vibration could not be neglected.  相似文献   

2.
We derived explicit expressions in the time domain for 3-D quasi-static strain and stress fields, due to a point moment tensor source in an elastic surface layer overlying viscoelastic half-space under gravity. The expressions of strain in the elastic surface layer were directly obtained from the expressions of displacement in our previous paper. The conversion of strain into stress is easy, because the stress–strain relation of elastic material is linear. In the viscoelastic substratum, the expressions of strain were obtained by applying the correspondence principle of linear viscoelasticity to the associated elastic solution. The strain–stress conversion is not straightforward, as the stress–strain relation of viscoelastic material is usually given in a differential form. To convert strain into stress, we used an integral form of the stress–strain relation instead of the usual differential form. The expressions give the responses of elastic half-space at \( t = 0 \) , and the responses of an elastic plate floating on non-viscous liquid at \( t = \infty \) . The moment tensor is rationally decomposed into the three independent force systems, corresponding to isotropic expansion, shear faulting and crack opening, and so the expressions include the strain and stress fields for these force systems as special cases. As the first numerical example, we computed the temporal changes in strain and stress fields after the sudden opening of an infinitely long vertical crack cutting the elastic surface layer. Here, we observe that the stress changes caused by the sudden crack opening gradually decay with time and vanish at \( t = \infty \) everywhere. After the completion of stress relaxation, a characteristic pattern of shear strain remains in the viscoelastic substratum. Since the strain and stress fields at \( t = \infty \) can be read as the strain- and stress-rate fields caused by steady crack opening, respectively, this numerical example demonstrates the realization of a steady stress state supported by steady viscous flow in the asthenosphere, associated with steady seafloor spreading at mid-ocean ridges. For the second numerical example, we computed the temporal changes in strain and stress fields after the 2011 Tohoku-oki mega-thrust earthquake, which occurred at the North American-Pacific plate interface. In this numerical example, the stress changes caused by coseismic fault slip vanish at \( t = \infty \) in the viscoelastic substratum, but remain in the elastic surface layer. The coseismic stress changes (and also strain changes) in the elastic surface layer diffuse away from the source region with time, due to gradual stress relaxation in the viscoelastic substratum.  相似文献   

3.
A simple boundary element formulation which is based directly on the point load solutions for an elastic full-space is presented. It is integrated in a finite element program to calculate dynamic soil-structure interaction problems. The combined boundary and finite element method is applied to structures which are excited by horizontally propagating waves in the soil. For three different types of flexible structure-elastic beams, low and high (square) shear walls-and the corresponding rigid structures the vibration modes and the soil-structure transfer functions have been investigated. The flexible foundations display the same wave pattern as the exciting free-field of the soil, but the amplitudes are reduced with increasing frequency, depending on the stiffness or wave resistance of the structure. Rigid structures show, in part, quite different behaviour, giving free-field reductions caused by kinematic and inertial soil-structure interaction.  相似文献   

4.
随着地下空间大规模开发利用,地震灾害对其造成的潜在威胁不容忽视。基于《城市轨道交通结构抗震设计规范(GB50909-2014)》和《地下铁道建筑结构抗震设计规范(DG/TJ08-2064-2009)》建议的分析方法,选取惯性力法、反应位移法(国家规范法、上海规范法)、动力时程方法(线弹性方法、等效线性化方法)三类共5种计算方法,以典型两层双柱三跨地铁车站结构为分析对象进行地震反应的对比验算,对上述计算方法的适应性进行评价。分析结果表明,与动力时程方法相比较,惯性力法计算得到的侧墙剪力值偏大,中柱结果较为接近;对于反应位移法,国家规范方法和上海规范方法的计算模型略有不同,但两者计算结果基本相近,其中土体强制位移、集中地基弹簧、土体动剪切模量等参数取值对计算结果影响显著;对于动力时程方法,线弹性方法和等效线性化方法的结果较为接近,且变化趋势相同。  相似文献   

5.
随着交通网络向偏远地区辐射,桥梁结构会不可避免的出现靠近断层的情况,受到近断层地震动的影响显著。为了研究近场地震作用下简支梁桥的搭接长度需求,基于ANSYS平台建立了简支梁桥的弹塑性分析模型。通过动力响应分析、弹塑性分析和抗剪能力分析,探讨了近场地震动的脉冲效应对简支梁桥搭接长度的影响。研究表明:近场地震动的脉冲效应放大了结构的地震响应,脉冲型地震和非脉冲地震作用时的最大墩梁相对位移分别为115.1 cm和41.5 cm;两类地震作用时的最大剪力分别为1 892.5 kN和1737.8 kN,最大剪力剪切强度比为0.82;当PGA≥0.4 g时,脉冲型地震作用下桥墩底部塑性铰区的最大转角超过极限转角,桥墩发生破坏,而非脉冲型地震PGA=1.0 g时的塑性铰转角小于极限转角;当PGA=1.0 g时,塑性铰破坏前墩梁相对位移为37 cm,占规范搭接长度的41.8%,近场地震作用下简支梁桥的搭接长度需求满足规范要求。  相似文献   

6.
针对平面不规则混凝土框架结构,考虑地震作用对其产生的附加扭转振动效应,提出了两种计算侧向力分布的方法。通过对一平面不规则框架结构进行推覆分析,得到各楼层侧移、层间问侧移角和塑性铰分布情况,并与时程分析结果进行了比较分析。结果表明,两种方法推覆分析得到的塑性铰分布情况与时程分析得到的情况相符合,楼层侧移和层间位移角与时程分析结果吻合也较好,并且从结果精度上看,分层法的误差要小一些。  相似文献   

7.
目前的既有钢混结构地震损伤研究没有同时考虑不同抗震设计规范差异和耐久性两个因素对结构抗震性能的影响,且损伤指标较简单,在动力损伤分析中也存在局限。基于云模型的特点,提出了包括弹塑性耗能差率、刚度损伤指数、层间位移角和顶点位移角的多元结构损伤状态综合评估方法,能够同时考虑结构各损伤指数的随机性和模糊性。考虑不同版本抗震设计规范造成的结构性能差异和耐久性下降对结构性能的影响,设计3个典型五层钢混框架结构,进行增量动力分析,验证损伤评估方法的准确性。结果表明:随着抗震规范版本的更新,结构的损伤程度有适当减轻;同一结构的损伤程度因混凝土碳化作用先减轻后加重;采用弹塑性耗能差率表征既有结构的地震损伤效果优于刚度损伤指数;基于多指标云模型损伤评估方法获得的云模型综合隶属度和综合损伤值能够更加细化和精确地描述结构损伤状态。  相似文献   

8.
This paper presents a numerical analysis of large displacement responses of elastic–plastic plane frames under static and dynamic loads, by applying the vector‐form intrinsic finite element (VFIFE or V‐5) method. The VFIFE method defines the structure into a number of mass points, and applies Newton's second law and the internal force equilibrium to describe the motions of each mass point. By tracing the motions of all the mass points, it can analyze the large geometrical and material nonlinear changes during the motion of the structure without using the geometrical stiffness matrix and iterative procedures. Three different numerical examples are presented to demonstrate both the capability and the accuracy of the VFIFE method in a nonlinear dynamic analysis of frame structures with extremely large displacement. Copyright © 2011 John Wiley & Sons, Ltd.  相似文献   

9.
This paper describes an analytical investigation on a reinforced concrete lateral load resisting structural system comprising a pin‐supported (base‐rocking) shear wall coupled with a moment frame on 1 or both sides of the wall. Yielding dampers are used to provide supplemental energy dissipation through the relative displacements at the vertical connections between the wall and the frames. The study extends a previous linear‐elastic model for pin‐supported wall‐frame structures by including the effects of the dampers. A closed‐form solution of the lateral load behavior of the structure is derived by approximating the discrete wall‐frame‐damper interactions with distributed (ie, continuous) properties. The validity of the model is verified by comparing the closed‐form results with computational models using OpenSees program. Then, a parametric analysis is conducted to investigate the effects of the wall, frame, and damper stiffness on the behavior of the structure. It is found that the damper stiffness significantly affects the distribution of shear forces and bending moments over the wall height. Finally, the performance‐based plastic design approach extended to the wall‐frame‐damper system is proposed. Case studies are carried out to design 2 damped pin‐supported wall‐frame structures using the proposed approach. Nonlinear dynamic time‐history analyses are conducted to verify the effectiveness of this method. Results indicate that the designed structures can achieve the performance level with the story drift ratios less than target values, and weak‐story failure mechanism is not observed. The approach can be used in engineering applications.  相似文献   

10.
提出一种十字带侧板型抗剪连接件,以混凝土强度、抗剪连接件长度、抗剪连接件数量为参数设计四个试件,并进行往复加载试验,研究其破坏形态、剪力-位移曲线、骨架曲线、初始刚度、抗剪承载力和应变等指标。结果表明:四个试件的破坏形态基本一致,均由抗剪连接件与混凝土梁连接处率先产生裂缝,并向上端和下端发展,在混凝土出现压溃后达到极限状态;剪力-滑移曲线走势基本相同,均包括初始弹性阶段、弹塑性阶段和破坏阶段。另外,提高混凝土强度可增大试件初始刚度达16.44%,并能有效降低位移及应变;增大抗剪连接件长度仅提高试件初始刚度的4.25%,且对位移和应变的影响也较小;提高抗剪连接件数量可使初始刚度增大47.82%,抗剪连接件始终处于弹性,且有效减小位移和混凝土损伤,以及提高试件承载能力,满足弯剪分离式组合连接节点预期1mm最大位移的要求。  相似文献   

11.
Earthquakes result from continuous geodynamic processes. A topic of significant interest for the scientific community is to elaborate on the phenomena governing the faulting and fracturing of crustal rocks. Therefore, in this study, uniaxial compressive shear failure experiments were conducted on Fangshan marble rock samples with a prefabricated slot to simulate thrust faulting. The center of each marble plate (105 mm × 80 mm × 5 mm) was engraved with a 30-mm long double-sided nonpenetrating slot (depth: 2 mm, width: 0.5 mm). The deformation and destruction processes of the rock surface were recorded using a high-speed camera. The digital image correlation method was used to calculate the displacement and strain distribution and variation at different loading stages. The accumulative and incremental displacement fields u and v , strain field ex and ey, and shear strain exy were analyzed. When the loading level reached its ultimate value, the strain field was concentrated around the prefabricated slot. The concentration reached a maximum at the ends of the prefabricated slot. The magnitude of shear strain reached 0.1. This experiment contributes to our understanding of the dynamic process of active faulting.  相似文献   

12.
Based on the load model of a uniform isotropic semi-infinite elastic medium,we deduced a calculation of vertical displacement and tilt and proposed a method of calculation of vertical displacements and tilts caused by irregular load on the ground or underground at a certain point with two-dimensional and three-dimensional shapes. We compared the difference between the simplified model and the irregular model. Finally,the vertical displacements near the irregular load and the distribution of horizontal tilt are presented.The results show that,compared with the point simplified model,the irregular load model has certain advantages for describing the near field. The establishment of a twodimensional irregular load model can help with the calculation of the modal vector superposition after load scattering. The three-dimensional irregular load model can redistribute load through different weights given to the scattered points after the load scattering,and then obtain displacement with the vector calculation method. The results of vector superposition calculation from the scattered irregular load both in two-dimensions and three-dimensions are all convergent obviously as grids become denser,and it is shown that the calculation method is correct and feasible.  相似文献   

13.
混凝土桥梁在工作过程中会产生裂缝,为分析移动荷载对开裂混凝土桥梁结构刚度的影响,对开裂梁动力响应进行分析。建立简支T梁桥有限元模型,并将移动荷载施加至有限元模型中。根据简支T梁桥破坏横向分布位置和强度的不同,研究不同工况下各梁荷载横向分布及不同移动速度对裂缝扩展宽度的影响。结果表明,数值模拟结果能较好地验证计算模型的准确性;在较大的移动荷载作用下,混凝土开裂,导致结构刚度减小、位移增大;随着移动荷载和速度的增加,开裂时间增加,结构刚度降低,持续时间增加,位移增大,使结构响应呈现明显非线性。  相似文献   

14.
A new method of detecting the vertical bearing capacity for single-pile with high strain is discussed in this paper. A heavy hammer or a small type of rocket is used to strike the pile top and the detectors are used to record vibration graphs. An expression of higher degree of strain (deformation force) is introduced. It is testified theoretically that the displacement, velocity and acceleration cannot be obtained by simple integral acceleration and differential velocity when long displacement and high strain exist, namely when the pile phase generates a whole slip relative to the soil body. That is to say that there are non-linear relations between them. It is educed accordingly that the force P and displacement S are calculated from the amplitude of wave train and (dynamic) P-S curve is drew so as to determine the yield points. Further, a method of determining the vertical bearing capacity for single-pile is discussed. A static load test is utilized to check the result of dynamic test and determine the correlative constants of dynamic-static P(Q)-S curve. Foundation item: Key projects of the tenth Five-year Plan of Yunnan Province (documented Yunnan district [2002]54-02-02) and Geophysical Society of Yunnan Province.  相似文献   

15.
结构影响系数是基于强度的抗震设计中确定设计地震作用的关键,也是基于性态抗震设计理论的基础。位移放大系数则是根据结构的弹性位移估算弹塑性位移的关键参数。本文采用增量动力分析方法求解结构影响系数和位移放大系数,并结合具体算例详细说明了基于增量动力分析求解结构影响系数和位移放大系数的实施步骤。该方法能反映结构的动力特征,并能考虑高阶振型对结构抗震性能的影响。  相似文献   

16.
Within the last decades, simplified methods alternative to dynamic nonlinear analysis have been developed to estimate the seismic performance of structures toward a performance‐oriented design. Considering drift as the main parameter correlated with structural damage, its estimation is of main importance to assess the structural performance. While traditional force‐based design deals with calibrated force reduction factors based on the expected structural ductility, other methods are based on the definition of a viscous damping factor defined as a function of the expected energy dissipated by the structure. An example is the capacity spectrum method. This method can be applied even without any a priori calibration or designer arbitrariness. This allows considering several peculiarities of the seismic behavior of precast structures, which may be influenced by nontraditional hysteresis of connections and members, interaction with the cladding panels, Pδ effects, etc. The paper aims at verifying the soundness and accuracy of this method through the comparison of its predictions against the results of cyclic and pseudodynamic tests on precast structures, including single‐ and multistory buildings either stiff or flexible, obtained on full‐scale building prototypes tested within the framework of recent research projects (namely, “Precast Structures EC8,” “Safecast,” and “Safecladding”). Two simple methodologies of determination of the equivalent viscous damping from a force‐displacement cycle, based on the dissipated energy in relation to 2 different estimates of the elastic strain energy, are addressed and compared. Comments on the possible use of this procedure for the estimation of the seismic performance of precast structures are provided.  相似文献   

17.
基于应变模态的结构损伤定位方法   总被引:1,自引:0,他引:1  
针对简支梁的单一位置及其多位置损伤,利用结构有限元分析软件计算得到简支梁的位移模态,再通过应变和位移之间具有一阶导数的关系,对简支梁进行了应变模态分析。结果表明,应变模态对损伤比较敏感而位移模态对损伤不够敏感;当损伤发生在应变模态的节点处时,损伤不易被识别,但是可以结合多阶应变模态进行损伤识别。最后对应变模态法的工程实用性进行了评价。  相似文献   

18.
唐强森  刘涛 《地震工程学报》2018,40(3):591-596,603
针对近距离上层隧道施工时给下层隧道稳定性造成扰动影响的现状,基于简支土体梁力学模型,研究下层隧道顶部在周期性扰动力作用下的系统振动特性,得到顶部垂直位移的动态响应数学表达式,为定量掌握最大位移峰值的大小与出现时刻提供理论依据,指出考虑振动因素时上下层隧道安全距离的确定方法。结合具体算例探索扰动力等因素对最大位移的作用规律,结果表明:扰动力振幅和隧道跨度分别增加1倍和2倍时,最大位移峰值相应增大1倍和23.9倍;隧道层间垂距和土体弹性模量分别增加2倍和3倍时,最大位移峰值相应减小88.2%和70%。当主要影响因素变化时,最大位移的波动大周期延长、波动震荡性加剧,特别是峰值处的震荡幅值增大,隧道顶部稳定性受到明显影响。  相似文献   

19.
为了解水库水体加、卸载及渗透过程中,库底岩石介质有效应力变化对弹性波速的影响,以及弹性波速变化与孔隙压力、有效应力变化之间的定量关系,以四川省紫坪铺水库为例,在前期已建立库区地质构造与水文地质结构模型,并推导出岩石介质变形与流体渗流耦合数学模型的基础上,进一步建立了有效应力对岩石弹性波速影响的数学模型,利用有限元方法定量计算了库底岩石介质的孔隙压力、附加有效应力和弹性波速的变化。结果表明:在水库水体加、卸载及渗透过程中,地下岩石介质弹性波速增量值的变化并不明显,最大变幅仅为±0.013km/s,变化范围主要集中在库底5km以上的局部区域;弹性波速增量值与附加有效应力变化同步,与水库水位变化形态相似;不同观测点弹性波速变化量的大小与埋藏位置、深度及附加有效应力的变化幅度有关,同一观测点,弹性纵波波速变化幅度大于弹性横波波速。文中数值模拟的结果与一些学者通过环境噪声方法获得的紫坪铺水库附近区域相对波速变化的反演结果在变化形态上大体一致,但变化幅度略有差异。  相似文献   

20.
It is widely accepted that ductility design improves the seismic capacity of structures worldwide. Nevertheless, inelastic deformation allows serious damage to occur in structures. Previous studies have shown that a certain level of postyield stiffness may reduce both the peak displacement and residual deformation of a structure. In recent years, several high-strength elastic materials, such as fiber-reinforced polymer (FRP) and high-strength steel bars, have been developed. Application of these materials can easily provide a structure with a much higher and more stable postyield stiffness. Many materials, members, and structures that incorporate both high-strength elastic materials and conventional materials show significant postyield hardening (PYH) behaviors. The significant postyield stiffness of PYH structures can help effectively reduce both peak and residual deformations, providing a choice when designing resilient structures. However, the findings of previous studies of structures with elastic-perfectly plastic (EPP) behavior or small postyield stiffness may not be accurate for PYH structures. The postyield stiffness of a structure must be considered an important primary structural parameter, in addition to initial stiffness, yielding strength, and ductility. In this paper, extensive time history and statistical analyses are carried out for PYH single–degree-of-freedom (SDOF) systems. The mean values and coefficients of variation of the peak displacement and residual deformation are obtained and discussed. A new R-μp-T-α relationship and damage index for PYH structures are proposed. A theoretical model for the calculation of residual deformation is also established. These models provide a basis for developing the appropriate seismic design and performance evaluation procedures for PYH structures.  相似文献   

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