钢筋混凝土框架结构参数时变特性的研究

以某12层钢筋混凝土标准框架结构振动台模型试验的数据为基础,用卡尔曼滤波技术与移动谱相结合的方法对该标准框架结构参数的时变特性进行研究,该方法相当于对时域信号施加变长度矩形窗后进行卡尔曼滤波,有效地提高了参数识别精度.模型结构在小震激励时,结构的频率发生微小程度的降低,表明结构内部发生了未表现出来的轻微损伤;大震激励时,结构频率较初始时刻发生大幅度的下降,表明结构发生了较大程度的破坏.经与理论解和分量分析识别结果对比,用本文方法识别出的结构参数更接近理论解.     

基于Hilbert-Huang变换和随机减量技术的模态参数识别

傅里叶分析的信号处理方法对非线性、非平稳信号的处理能力差,传统的模态参数识别方法也存在阻尼比识别精度不高的问题。基于Hilbert-Huang变换和随机减量技术提出了一种新的、实用的模态参数识别方法,首先对结构振动信号进行滤波处理和经验模态分解,得到若干阶本征模态响应,然后利用随机减量技术提取自由衰减响应,进而由Hilbert-Huang变换得到信号的瞬时特性,最后结合模态识别的基本理论识别结构的模态频率和模态阻尼比。为了验证这一方法的有效性,对12层钢筋混凝土框架模型振动台试验一测点的加速度记录进行了处理,识别了模态参数,识别结果与其它识别方法及有限元分析结果的对比表明该方法识别模态频率是可靠的,而模态阻尼比识别的精准性仍然难以确认。     

基于滞变阻尼模型的反应谱CQC法

复阻尼模型具有每周期耗散能量与外激励频率无关的优点,但自由振动解中存在发散项。基于复阻尼模型的等效滞变阻尼模型不仅保留了相应的优点,且克服了时域发散的缺陷。本文在模态叠加法的基础上,提出了基于滞变阻尼模型的反应谱CQC法,并利用时域精确解验证了所提方法的正确性。在此基础上,以反应谱和相关系数为分析对象,对比了基于滞变阻尼模型的反应谱CQC法和基于黏性阻尼模型的反应谱CQC法。算例分析表明:小阻尼比情况下,两种方法的计算结果近似相等;大阻尼比情况下,两种方法计算所得的反应谱值和相关系数皆差异较大;大阻尼比结构需依据结构材料的阻尼特性,选择合适的反应谱CQC法。     

基于复阻尼理论的混合结构Rayleigh阻尼模型

混合结构的阻尼矩阵不满足经典阻尼条件,导致传统的模态叠加法无法适用。复阻尼理论无法适用于时域计算,其自由振动响应中存在发散现象。针对混合结构的阻尼矩阵非比例性和复阻尼理论的时域发散性,基于频域等效原则构建了求解Rayleigh阻尼系数的数学优化模型,进而得到与复阻尼理论等效的Rayleigh阻尼运动方程。算例分析表明:依据位移时程响应和结构等效阻尼比可证明Rayleigh阻尼运动方程的正确性。基于本文研究成果,等效复阻尼理论的混合结构Rayleigh阻尼运动方程可直接采用模态叠加法,结合其确定的结构等效阻尼比,为混合结构的振型分解反应谱法提供理论依据。     

基于环境激励的大跨结构动力特性识别

本文以广州国际会展中心一期在环境激励下获得的屋盖5处位置加速度响应时程数据为基础,分别采用随机减量法(RDT)、峰值拾取法(PP)以及频域分解法(FDD)识别结构的前4阶竖向振动模态频率;并采用随机减量法(RDT)获得了前2阶阻尼比。基于有限元分析软件ANSYS,建立结构三维有限元模型,获得了结构前16阶模态频率,并将前4阶整体竖向模态频率与实测结果进行对比。研究表明:(1)RDT法、PP法以及FDD法具有很好的识别结构振动模态频率的功能,且RDT法能有效地识别结构整体阻尼比;(2)有限元数值计算在结构设计初期对识别动力特性上具有较高的精度。     

基于环境振动测试的高层钢筋混凝土结构模态参数识别

根据高层钢筋混凝土结构环境振动测试数据,采用随机信号的频域分析方法,确定了高层结构的自振频率;基于不同测点在固有频率处的响应比及零迟时互相关函数确定了结构的振型;运用自功率谱和互功率谱,采用半功率点法计算了各阶振型的阻尼比.结果表明,环境振动测试能够较好地识别高层结构的1～3阶振型.对实测自振周期与<建筑结构荷载规范>的公式和数值模拟结果进行比较,发现:结构的层数小于20层时,实测值与<规范>规定的值最接近;结构超过20层时,实测值小于<规范>规定的值和数值模拟的结果.     

基于Hilbert-Huang变换的建筑物强震记录分析方法研究

建筑物在强震中可能受到损伤,通过对结构瞬时频率的分析可以诊断出结构的损伤发展过程。本文探讨了基于H ilbert-Huang变换的结构物损伤诊断方法,研究了如何从结构地震响应信号中提取模态响应、1阶模态振型和损伤发展规律。本文采用HHT法分析了Northridge地震中某超高层建筑物的强震记录,分析结果表明:带有间歇检验准则的经验模态分解法能够提取结构的模态振动响应;通过分析不同楼层的相对H ilbert边际谱能够识别出结构的1阶模态振型;分析结构振动中瞬时频率的时变特点,可以直观地掌握振动中结构的损伤发展规律。     

阻尼对结构模态测试精度影响的试验研究

结构振动是多个振型参与的结果。在结构抗震设计及地震工程相关领域,结构模态数值的应用程度越来越高,其准确程度从根本上关系到结构设计和工程抗震的实现效果。为考察阻尼对实际结构模态测试结果的影响,设计了三层剪切型钢框架模型及可调硅油阻尼器。计算其理论模态,并通过三种常用的模态测试方法,对其在阻尼比由小到大逐渐增大的各种工况下的频率和振型进行测试。试验结果表明:阻尼比对结构模态测试结果确有影响,测试精度随着阻尼比的增大而降低,但在实际结构阻尼比量级时,常用测试方法得到的简单结构的模态结果精度可以满足工程计算需要;脉动法、初位移释放法和激振法的测试精度依次提高。     

基于振动台试验的RC框架模型修正及模拟损伤识别

利用有限元模型修正技术综合利用理论建模和实验建模的优点,可以得到更加符合结构实际的基准模型,为结构动力分析、损伤诊断及健康监测提供更可靠的依据。基于一12层钢筋混凝土框架模型振动台试验测点加速度记录,采用特征系统实现算法对该模型结构进行模态参数识别,识别结果与有限元分析结果之间存在明显的差异。采用基于灵敏度分析的参数型有限元模型修正技术,选择识别精度较高的实测模态频率为修正基准,以构件的弹性模量和密度为修正参数,对该框架的初始有限元模型进行了修正,得到基准有限元模型。进一步以基准有限元模型为标准,以构件弹性模量的降低模拟结构的损伤,对两种假设工况下的损伤结构进行修正,得到构件弹性模量的变化值并与假设的降低值对比,验证了有限元模型修正技术在结构损伤识别中应用的可行性。     

钢筋混凝土框架结构阻尼性能的研究

阻尼比是一个重要的结构动力特性参数,它对结构的动力响应有重要影响。目前结构抗震计算通常取阻尼比为常数,这不能真实反映建筑物的阻尼机理,与阻尼比的实测结果也有很大的差距。本文以选取的混凝土框架现场脉动实测阻尼数据、混凝土框架模型振动台试验实测阻尼数据、由地震记录识别的混凝土框架阻尼数据及自行完成的混凝土悬臂试件自由振动实测阻尼数据为依据,对混凝土强度、实验方法、结构方位、结构自振频率和结构变形大小等对混凝土框架阻尼性能的影响进行了分析,在此基础上,统计得到了混凝土框架弹性阻尼比、弹塑性阻尼比与频率或变形相关的计算公式。通过与国内外已有公式的比较,论证了本文建立的阻尼比计算公式的合理性和有效性。     

Identification of model structure parameters via combination of AFMM and ARX from seismic response data

To identify the model structure parameters in shaking table tests from seismic response, especially from timevarying response records, this paper presents a new methodology by combining the online recursive Adaptive Forgetting through Multiple Models(AFMM) and offline Auto-Regression with eXogenous variables(ARX) model. First, the AFMM is employed to detect whether the response of model structure is time-invariant or time-varying when subjected to strong motions. Second, if the response is time-invariant, the modal parameters are identifi ed from the entire response record, such as the acceleration time-history using the ARX model. If the response is time-varying, the acceleration record is divided into three segments according to the accurate time-varying points detected by AFMM, and parameters are identifi ed by only using the tail segment data, which is time-invariant and suited for analysis by the ARX model. Finally, the changes in dynamic properties due to various strong motions are obtained using the presented methodology. The feasibility and advantages of the method are demonstrated by identifying the modal parameters of a 12-story reinforced concrete(RC) frame structure in a shaking table test.     

Structural modal parameter identification and damage diagnosis based on Hilbert-Huang transform

Traditional modal parameter identifi cation methods have many disadvantages,especially when used for processing nonlinear and non-stationary signals.In addition,they are usually not able to accurately identify the damping ratio and damage.In this study,methods based on the Hilbert-Huang transform(HHT) are investigated for structural modal parameter identifi cation and damage diagnosis.First,mirror extension and prediction via a radial basis function(RBF) neural network are used to restrain the troublesome end-effect issue in empirical mode decomposition(EMD),which is a crucial part of HHT.Then,the approaches based on HHT combined with other techniques,such as the random decrement technique(RDT),natural excitation technique(NExT) and stochastic subspace identifi cation(SSI),are proposed to identify modal parameters of structures.Furthermore,a damage diagnosis method based on the HHT is also proposed.Time-varying instantaneous frequency and instantaneous energy are used to identify the damage evolution of the structure.The relative amplitude of the Hilbert marginal spectrum is used to identify the damage location of the structure.Finally,acceleration records at gauge points from shaking table testing of a 12-story reinforced concrete frame model are taken to validate the proposed approaches.The results show that the proposed approaches based on HHT for modal parameter identifi cation and damage diagnosis are reliable and practical.     

混凝土框架模型结构参数的识别

框架结构是常见的建筑结构形式,也是结构损伤诊断的主要研究对象之一。本文以钢筋混凝土框架结构模型的振动测试数据为基础,采用灵敏度分析方法,对结构的物理参数进行识别。有限元分析中,考虑框架结构的节点转动,采用静凝聚方法得到结构刚度矩阵。参数识别结果表明,对于不同的固有频率和振型的测试信息组合所识别的物理参数有所不同。根据已知的概率分布,利用MonteCarlo方法,将模态参数的不确定性传递给物理参数,得到了物理参数的不确定性。     

高阻尼混凝土框架的动力特性与抗震试验

在混凝土中加入高阻尼掺料,从而有效地提高钢筋混凝土结构自身的阻尼比,这是从材料角度出发的一种新的结构振动控制方法。本文利用聚合物的高阻尼特性和材料的表面改性技术,在普通钢筋混凝土柱中掺加一定数量的苯丙乳液和改性的硅粉,制作了3组单层两榀混凝土框架;然后对其进行了试验研究,测定了框架结构的阻尼比和频率等动力特性;并且研究和比较了不同地震动下高阻尼混凝土框架的相对位移和绝对加速度反应。试验结果表明:改性硅粉和苯丙乳液的加入均可以提高混凝土框架结构破坏前后的阻尼比,分别提高52.4%、82.3%和27.5%、42.5%;改性硅粉可以有效地提高混凝土框架结构破坏前后的刚度,分别提高5%和15%~50%;虽然苯丙乳液的加入降低了混凝土框架结构的初始刚度,大约降低17%,但却提高了混凝土框架结构破坏后的残余刚度,提高大约10%~20%。改性硅粉和苯丙乳液的加入对于混凝土框架结构地震反应的减振控制起到了很好的作用。     

Dynamic non-linear analysis of reinforced concrete shear wall by finite element method with explicit analytical procedure

A numerical procedure for a dynamic non-linear finite element analysis is proposed here to analyse three-dimensional reinforced concrete shear wall structures subjected to earthquake motions. A shear wall is modelled as a quasi-three dimensional structure which is composed of plane elements considering the in-plane stiffness of orthogonal flange panels. The proposed constitutive model is based on the non-linearity of reinforcement and concrete in which the tension stiffening in tension and the degradation of stiffness and strength in compression of concrete after cracking are considered. The acceleration-pulse method, which is a kind of explicit analytical procedure, is employed to solve the non-linear dynamic equations, where the dynamic equation can be solved without stiffness matrix and so the iterative procedure is not necessary for descending portion of stress–strain relationship caused by cracking and softening after compressive strength in concrete. The damping effect is considered by assuming equivalent viscous damping which can give good cyclic behaviours of inertia force vs. displacement relationships. This analytical method was applied to a test specimen of a reinforced concrete shear wall with a H-shaped section which was vibrated up to failure by using a large-scale shaking table with high -performance in Japan. The test was performed as one of the dynamic model tests for evaluation of seismic behaviour of nuclear reactor buildings. The calculations were performed sequentially from the elastic range to failure. The comparison with the test results shows that this approach has good accuracy. © 1997 by John Wiley & Sons Ltd     

基于能量原理的粘滞阻尼器附加阻尼系数分配方法研究

以线性粘滞阻尼器加固剪切型规则框架结构为研究对象,基于能量原理提出附加阻尼系数正比于层间位移平方的分配方式。以六层和十二层钢筋混凝土框架为例,以确保结构在中震时保持弹性状态为设计目标,分别采用附加阻尼系数正比于层间位移平方的分配方式以及现有的分配方式,对结构进行消能减震设计。计算结果表明:有控结构均满足中震不坏的要求,层间位移角限值均未超过1/550,减震效果良好;附加阻尼系数正比于层间位移平方的分配方式得出的总阻尼系数最小,为最经济的设计结果。     

无填充墙基础隔震RC框架在环境激励下的动力特性

对一基础隔震钢筋混凝土框架结构在无填充墙情况下进行了环境激励下的动力测试,重点利用Hilbert-Huang变换与随机减量技术相结合的方法识别了其模态参数,并与随机子空间识别法、有理分式多项式法识别的结果进行了对比。识别结果表明在环境激励下,基础隔震结构的基本周期远小于多遇和罕遇地震工况下设计计算的基本周期;等效黏滞阻尼比很小,近乎于基础固定模型。对隔震层阻尼特性的分析表明,环境激励下可以将基础隔震结构视为经典的比例阻尼系统。进一步以识别的模态参数为基准,采用优化的方法数值反演了环境激励下该结构隔震层的实际水平等效刚度,结果表明其值为多遇地震下计算刚度取值的10.75倍。     

提高阻尼识别精度的ITD两步法

由于无限介质中辐射阻尼的存在，地下结构抗震安全评价中正确地识别阻尼影响十分重要。阻尼从理论上指出了ITD时域识别技术在阻尼比识别方面存在误差的原因，并提出了一种改进的阻尼识别方法，算例表明，提出的方法，能显著地提高阻尼的识别精度。     

A synthetic optimization analysis method on structures with viscoelastic dampers

The paper introduces a synthetic optimization analysis method of structures with viscoelastic (VE) dampers, namely the simplex method. The optimal parameters and location of VE dampers can be determined by this method. Numerical example and a shaking table test about reinforced concrete structures with VE dampers show that the seismic responses of structures will be reduced more effectively when the parameters and location of VE dampers are designed in accordance with the results calculated by the simplex method.     

Modelling damage potential of high‐frequency ground motions

Damage to building structures due to underground blast‐induced ground motions is a primary concern in the corresponding determination of the safe inhabited building distance (IBD). Because of the high‐frequency nature of this category of ground motions and especially the presence of significant vertical component, the characteristics of structural response and damage differ from those under seismic type low‐frequency ground motions. This paper presents a numerical investigation aimed at evaluating reinforced concrete (RC) structure damage generated by underground blast‐induced ground excitation. In the numerical model, two damage indices are proposed to model reinforced concrete failure. A fracture indicator is defined to track the cracking status of concrete from micro‐ to macrolevel; the development of a plastic hinge due to reinforcement yielding is monitored by a plastic indicator; while the global damage of the entire structure is correlated to structural stiffness degradation represented by its natural frequency reduction. The proposed damage indices are calibrated by a shaking table test on a 1: 5‐scale frame model. They are then applied to analyse the structural damage to typical low‐ to high‐rise RC frames under blast‐induced ground motions. Results demonstrate a distinctive pattern of structural damage and it is shown that the conventional damage assessment methods adopted in seismic analysis are not applicable here. It is also found that the existing code regulation on allowable peak particle velocity of blast‐induced ground motions concerning major structural damage is very conservative for modern RC structures. Copyright © 2003 John Wiley & Sons, Ltd.