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1.
为了识别无限长周期梁中的损伤,文中提出了一种基于振动功率流的裂纹识别方法.以无限长周期连续Euler梁为研究对象,假设损伤为裂纹形式,采用柔度弹簧对裂纹进行描述,结合周期结构理论和传递矩阵方法,分别推导了健康与损伤连续梁的传播功率流和输入功率流,得到了不同激励位置下的健康周期连续梁的输入功率流曲线及在跨中激励时不同损伤...  相似文献   

2.
针对预应力混凝土连续箱梁桥的通扬运河大桥,建立其有限元模型.基于评价模型修正效果的频率指标与振型相关系数指标、柔度矩阵指标和挠度指标,定义三个目标函数,利用环境激励的试验模态参数,通过实数编码加速遗传算法对有限元模型进行了修正.相对于基于频率指标与振型相关系数指标定义的目标函数,基于柔度矩阵指标或挠度指标定义的目标函数修正的有限元模型,能同时较准确地反映其动态和静态特性,也能实现其试验模态振型较精确的质量归一化.  相似文献   

3.
中短型轨道板的几何构型介于梁、板之间,属于宽梁结构。从Mindlin板理论出发,退化得到适用于宽梁的Mindlin板梁控制方程;引入Winkler地基刚度系数,推导得到位移和转角的模态函数表达式。考虑两端简支的边界条件,得到弹性地基板梁的自由振动特征方程。通过无量纲数值算例求解出弹性地基板梁的自振频率,并与Timoshenko梁理论和Mindlin板理论进行对比。研究高跨比、泊松比和弹性地基刚度等参数对结构自振特性的影响,总结出弹性地基板梁方程的特点及适用范围,即宽度效应显著且泊松比较大的宽梁结构。  相似文献   

4.
基于弯曲弹簧模型的裂纹混凝土梁动力特性分析   总被引:2,自引:0,他引:2  
利用结构振动波传播理论,将含裂纹混凝土梁以裂纹为界划分为两段连续的波导体,为了表征由裂纹引起的梁中波传播的不连续特性,引入了模拟裂纹的弯曲弹簧模型。通过理论计算得到了裂纹简支梁的特征方程,并以一裂纹混凝土简支梁为例进行数值分析,讨论了裂纹的深度和位置对裂纹梁各阶固有频率的影响。  相似文献   

5.
杨开荣  周晶  冯新 《地震学刊》2011,(6):642-647
根据以往模态柔度损伤指标的研究成果,建立了模态柔度差曲率和模态柔度曲率差这2种结构损伤识别指标。通过对一个百米钢栈桥最容易发生损伤的下弦梁进行各种损伤工况下的数值模拟研究,比较分析了这2种结构损伤指标的损伤识别效果。并且在钢栈桥2根下弦梁都有损伤的情况下,对两者之间损伤识别效果的相互影响进行了研究。研究结果表明,本文提出的2种损伤识别指标,对空间复杂钢栈桥的易损下弦梁都有很好的损伤识别效果,2根下弦梁的损伤识别具有较好的独立性。  相似文献   

6.
为提高梁式结构损伤诊断的效率,提出一种基于类柔度差曲率和频率摄动的结构损伤识别方法。首先根据结构振动理论,研究广义柔度矩阵计算公式;再利用模态柔度对结构损伤灵敏性高的优点,改进基于柔度差曲率的损伤定位指标,定义类柔度差曲率LCFC损伤指标,并初步识别损伤;最后基于矩阵摄动进行结构损伤识别结果确认。考虑多种损伤工况,对一简支梁结构进行损伤识别数值模拟验证。结果表明:仅使用一阶模态,建立的类柔度差曲率LCFC指标对梁式结构损伤定位具有良好的诊断效果,且计算工作量小;对于含边界损伤单元的多损伤工况,当损伤程度大于10%时,LCFC指标识别有效;当损伤程度不大于25%时,各工况二阶摄动识别结果精度较高,相对误差较一阶摄动结果明显降低,证明了该方法的实用性、有效性和精确性。  相似文献   

7.
巨型钢框架结构中,组成主结构的杆件截面高度很大,荷载作用下截面剪切变形对杆件承载力和塑性发展的影响不能忽略,即基于弯曲梁理论的截面纤维模型梁柱单元用于此类结构非线性分析时精度并不高.本文基于刚度法将截面纤维模型与Timoshenko梁理论结合,考虑剪切屈服与弯曲屈服相分离建立杆件单元刚度矩阵通过有限元软件MSC.Mar...  相似文献   

8.
基于预定损伤法对钢框架构件主要设计参数进行损伤敏感度分析,研究主要设计参数与钢框架结构梁、柱损伤的关系;揭示钢框架结构梁、柱的损伤及梁、柱线刚度比、结构高宽比、柱轴压比、锈蚀率对楼层损伤的影响规律;获得楼层的损伤与整体结构损伤的关系,最终建立钢框架结构的损伤演化模型。研究成果可为建立地震激励下钢框架结构的损伤模型提供理论基础和数据支持。  相似文献   

9.
底部弱层非规则布置隔震结构的计算研究   总被引:1,自引:0,他引:1  
提出了层单元方法,将楼板视为剪切弯曲深梁,用二次位移函数和一次转角函数描述楼面运动。同时建立了平面非规则房屋隔震结构动力反应的计算模型,用反应谱方法和时程分析方法计算分析了U型和L型底部弱层非规则布置隔震结构的局部变形的基本动力性能。  相似文献   

10.
钟继茂  程万正 《中国地震》2005,21(3):398-408
本文采用损伤力学的理论研究区域地震的状态问题。对地壳块体由地震破裂引起的宏观损伤状态,通过引入损伤度ω、损伤率ω、应变率ε来刻画。所研究地块内地震过程引起的平均应变速率等于发生在单位时间、单位体积内的所有地震的地震矩张量之和。为描述地壳块体微损伤的各向异性,引入裂纹密度表示的损伤张量形式。由震源坐标系表示的震源断层面换算到观测坐标系得到其外法向矢量,可求得研究地块以地震裂纹密度张量计算的宏观损伤度的变化。这为认识地下损伤状态或应力状态提供了新的分析方法。  相似文献   

11.
The general dynamic-stiffness matrix of a Timoshenko beam for transverse vibrations is presented in this paper. All the effects of rotary inertia of the mass, shear distortion, structural damping, axial force, elastic-spring and dashpot foundation are taken into account in the formulation. As a consequence, the deflection function of the beam vibration is in complex form, and the nature of the beam vibration and the corresponding dynamic stiffnesses of the beam are characterized by general complex wave numbers. The dynamic-stiffness matrix for any special case can be derived easily from the general formula, which may be used directly in standard structural analysis.  相似文献   

12.
A fiber-section model based Timoshenko beam element is proposed in this study that is founded on the nonlinear analysis of frame elements considering axial,flexural,and shear deformations.This model is achieved using a shear-bending interdependent formulation(SBIF).The shape function of the element is derived from the exact solution of the homogeneous form of the equilibrium equation for the Timoshenko deformation hypothesis.The proposed element is free from shear-locking.The sectional fiber model is constituted with a multi-axial plasticity material model,which is used to simulate the coupled shear-axial nonlinear behavior of each fiber.By imposing deformation compatibility conditions among the fibers,the sectional and elemental resisting forces are calculated.Since the SBIF shape functions are interactive with the shear-corrector factor for different shapes of sections,an iterative procedure is introduced in the nonlinear state determination of the proposed Timoshenko element.In addition,the proposed model tackles the geometric nonlinear problem by adopting a corotational coordinate transformation approach.The derivation procedure of the corotational algorithm of the SBIF Timoshenko element for nonlinear geometrical analysis is presented.Numerical examples confirm that the SBIF Timoshenko element with a fiber-section model has the same accuracy and robustness as the flexibility-based formulation.Finally,the SBIF Timoshenko element is extended and demonstratedin a three-dimensional numerical example.  相似文献   

13.
火灾及爆炸共同作用下平面约束钢梁的非线性分析理论   总被引:1,自引:0,他引:1  
采用非线性铁木辛柯梁单元,结合一种新的温度-率相关本构方程,推导了单元切向刚度矩阵,并编制了有限元程序。该程序可用于进行火灾或爆炸冲击过程中梁的响应分析,亦可用于两者共同作用下梁的耦合响应分析。基于弹性铁木辛柯梁挠曲线方程构造三次插值位移场,同时考虑了梁变形的几何非线性效应并采用了Green-Lagrangian应变,再结合非线性的本构关系,该理论能较完整地考虑火灾及爆炸诸多工况组合下平面约束钢梁可能发生的多种效应。通过对工字型等截面直梁火灾升温及爆炸3种荷载组合形式下的响应分析,验证了理论模型的合理性。  相似文献   

14.
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   

15.
This paper presents the experimental and numerical studies conducted on a steel column and a steel frame structure using free vibration analysis. The effects of damages on structures were investigated, which were simulated by introducing multiple cracks at different locations in the experimental and numerical models. The acceleration responses of the test models, were recorded through an accelerometer, and were used to calibrate the numerical models developed in finite element based software. Modal frequencies of damaged and undamaged structures were compared and analyzed, to derive relationships for damaged and undamaged structures' frequencies in terms of crack depth. It was found that, due to the presence of cracks, the mechanical properties of a structure changes, whereby, the modal frequencies decrease. An approximately linear trend was observed for the frequency decrease with the increase in crack depth, which was also confirmed by the numerical models. The derived relationships were extended to further develop a mechanics-based damage scale for steel structures, to help facilitate structural health monitoring and screening of vulnerable structures.  相似文献   

16.
梁承龙  刘芳 《地震工程学报》2022,44(5):1050-1058
裂缝常存在于边坡表面,地震作用会大幅降低裂缝边坡稳定性。针对双层土裂缝边坡稳定性问题,定义上下土层分界处高度与边坡高度之比为深度系数以描述双层土的分布,基于极限分析上限定理,构建“点到点”离散运动学机构,并在此机构中引入一条垂直张拉裂缝,结合拟静力法和强度折减法建立能量平衡方程求解裂缝边坡临界高度和安全系数上限解。计算结果与传统上限法进行对比,验证离散运动学机构的有效性及其解的优越性,同时探究土体非均质性及深度系数对裂缝边坡稳定性以及裂缝深度和位置的影响规律。结果表明,地震作用会降低边坡稳定性;随着地震力增大,边坡临界滑动面逐渐加深,裂缝深度略微增大,裂缝位置逐渐远离坡面;对于具体的双层土边坡会存在一个特定的深度系数使边坡安全系数达到最值,同时裂缝会穿越至下层土且深度发生突增。  相似文献   

17.
With the increasing emphasis of performance‐based earthquake engineering in the engineering community, several investigations have been presented outlining simplified approaches suitable for performance‐based seismic design (PBSD). Central to most of these PBSD approaches is the use of closed‐form analytical solutions to the probabilistic integral equations representing the rate of exceedance of key performance measures. Situations where such closed‐form solutions are not appropriate primarily relate to the problem of extrapolation outside of the region in which parameters of the closed‐form solution are fit. This study presents a critical review of the closed‐form solution for the annual rate of structural collapse. The closed‐form solution requires the assumptions of lognormality of the collapse fragility and power model form of the ground motion hazard, of which the latter is more significant regarding the error of the closed‐form solution. Via a parametric study, the key variables contributing to the error between the closed‐form solution and solution via numerical integration are illustrated. As these key variables cannot be easily measured, it casts doubt on the use of such closed‐form solutions in future PBSD, especially considering the simple and efficient nature of using direct numerical integration to obtain the solution. Copyright © 2008 John Wiley & Sons, Ltd.  相似文献   

18.
在海岸与近海结构工程中被广泛应用的钢筋混凝土构件,由于长期处在有海水腐蚀、干湿交替和循环荷载的严酷环境中,导致钢筋因侵蚀结构严重损伤。本文对6根钢筋混凝土试验梁进行了腐蚀与循环荷载作用下的疲劳试验研究,循环荷载幅值设计为2%~40%P_u和2%~60%P_u两种,对试验梁在大气环境中、淡水环境中和海水腐蚀环境中疲劳破坏情况进行试验探索,研究在三种环境与循环荷载作用下钢筋混凝土构件的力学性能及刚度损伤演化规律,同时分析了破坏形态、裂缝宽度、挠度的发展规律和疲劳寿命。结果表明:腐蚀与循环荷载共同作用下,短期内腐蚀溶液不会对梁内部钢筋造成显著影响从而降低耐久性;在循环次数达到一定范围内,试验梁耐久性降低42%,其中两个试验梁在循环荷载上限为0.6P_u时的耐久性分别降低54%和37%。  相似文献   

19.
A numerical procedure for evaluation of the fracture process of gravity dams during strong earthquakes is presented. The BEM is used to discretize the dam reservoir system including the crack surfaces, and stress intensity factors at the crack tip are employed in a stage by stage procedure which simulates the crack extension. For each stage of constant crack length the mode superposition technique is applied; this is made possible by simulating the impact process of crack closing by a load pulse applied at the contact points which permits the structural stiffness to be assumed unchanged. To verify the proposed procedure, a cantilever beam model structure made of gypsum was tested on a shaking table. Good correlation with the numerical results was obtained, from which it is concluded that the procedure can be employed for evaluation of the crack propagation process in concrete structures subjected to dynamic loadings.  相似文献   

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