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1.
传统的不变流行降阶技术通过增加状态空间的方式将外荷载看成是附加状态,这种方法只适用于非线性较弱的结构。考虑到膜结构的较强非线性的特点,本文基于中心流形理论,通过模态转换的方式对风和膜结构形成的耦合体系进行降阶处理,将膜结构的模态分为主模态和次模态,将膜结构的风振状态表示为主模态的非线性函数,并将次模态表达为主模态的随时间变化的非线性函数,这里的不变流形依赖于主模态和风荷载,最后通过扩展不变流形方程获得体系的降阶模型。将该降阶模型用于计算膜结构的风振耦合响应,得到了膜结构风压系数、风振响应和功率谱等重要参数,结果与全阶模型计算结果符合良好。同时对比了本文降阶模型的计算效率,由此可见本文降阶模型耗费机时比全阶模型平均减少约55%,耦合迭代次数比全阶模型平均减少约60%。由此可见,基于模态转换的降阶模型适用于膜结构的风振耦合分析,且具有较高的准确性和计算效率。  相似文献   

2.
为描述强震预测的不确定性,在地震预报极值分析模型的参数估计中,引入轮廓似然估计法。对广义极值分布中形状参数和地震重现水平的轮廓似然估计原理及数值算法进行了详细地阐述,并利用构建的广义极值分布模型对东昆仑地震带进行了地震危险性分析。关于形状参数和重现水平的点估计,以及10年以内的重现水平置信区间的估计,轮廓似然估计法与极大似然估计法效果基本相同,但在中长期地震重现水平置信区间的预测中,轮廓似然估计法得到的关于置信水平不对称的置信区间,在强震水平下对预测震级的不确定性表达更准确,预测结果更加有效。   相似文献   

3.
二维地震资料波动方程非线性反演   总被引:3,自引:3,他引:3       下载免费PDF全文
针对反演的要求和实际问题的需要,提出利用地震资料叠前数据进行二维波动方程反演,采用最小平方拟合修正模型参数的非线性反演方法,构造了问题的加速迭代算法.反演算法充分利用了冗余的叠前数据和多道相关性,可以分离噪声和信号,使噪声不参与或很少参与反演,算法抗噪能力强.数值模拟例子表明算法有效和稳定,得到了令人满意的结果.  相似文献   

4.
提出了一种基于曲线拟合的改进型FDD算法Im CFDD,以加速度自功率谱矩阵的SVD分解得到的主奇异值为对象,推导了主奇异值与模态参数间的关系。推导表明:主奇异值与加速度自功率谱函数是等价的,奇异值可以分解为关于频率ω的分子和分母均为4阶的比值形式。据此建立了求解模态参数的表达式,并给出了迭代拟合算法。所提算法同频域分解算法FDD、增强型的频域分解算法EFDD、曲线拟合频域分解算法CFDD、频域空间分解算法FSDD有着本质的不同,在公式的推导上做了最小的简化,同时考虑了负频率部分和共轭极点部分的贡献,得到的模态参数求解方程是非线性的,需要迭代求解。最后,采用数值模型验证了新算法的有效性。  相似文献   

5.
结构平稳随机地震反应时域分析:方法   总被引:3,自引:3,他引:3  
给出了三种常用的随机地震地面运动过程模型,即理想白噪声模型、金井清模型、改进金井清模型的相关函数表达式.引入状态向量,在状态空间中建立地震地面运动激励下的结构振动方程,并求解出结构的复模态特性和复模态反应.利用复模态叠加法推导出线性时不变多自由度体系在这三种随机地震动激励下的平稳协方差反应的解析式,可在时域内直接计算结构随机反应的统计特征.该方法物理概念清晰,结论简便明确,可作为实际工程结构平稳随机地震反应的实用分析方法.  相似文献   

6.
基于Hilbert-Huang变换和随机子空间识别技术提出了两种土木工程结构的模态参数识别方法。方法一是基于Hilbert-Huang变换和自然激励技术,通过经验模态分解和Hilbert变换提取信号的瞬时特性,进而利用自然激励技术和模态分析的基本理论识别结构的模态参数;方法二是基于经验模态分解和随机子空间识别技术,通过经验模态分解对信号进行预处理,进而运用随机子空间识别方法处理得到的结构单阶模态响应以识别结构的模态参数。利用这两种方法,通过对一12层钢筋混凝土框架模型振动台试验测点加速度记录的处理,识别了该模型结构的模态参数。识别结果与传统的基于傅里叶变换的识别结果及有限元分析结果的对比验证了这两种方法的可行性和实用性。  相似文献   

7.
推导了模态参数对于损伤构件的一阶和二阶灵敏度矩阵,并对在推导一阶和二阶振型灵敏度的过程中产生的模态截尾误差进行了改进。根据泰勒级数展开的原理分别建立了一阶和二阶的灵敏度方程。考虑到一阶灵敏度方程求解速度快和二阶灵敏度方程求解精度高的特点,本文提出了一种用于结构损伤识别的混合迭代算法,该算法用二阶非线性的解析解作为算法的第一次迭代值,用一阶灵敏度方程的求解值对该算法的第一次迭代值进行关于泰勒级数截尾误差的修正。研究表明,本文提出的混合迭代算法由于采用了精确度较高的二阶非线性解析解作为迭代修正的初值,因此,迭代修正精度更高,收敛性更好。  相似文献   

8.
常规AVO三参数反演是通过Zoeppritz方程的近似公式来建立AVO正演模拟的过程,然而在P波入射角过临界角和弹性参数在纵向上变化剧烈的情况下,Zoeppritz方程近似公式精度有限.针对这种情况,可以使用精确的Zoeppritz方程来构建反演目标函数,由于精确Zoeppritz方程中P波反射系数和弹性参数之间是一种复杂的非线性关系,通常解决途径是利用非线性的优化算法来进行数值计算,但是非线性优化算法的缺点是计算量过大;另外一种途径是利用广义线性反演的方法,通过泰勒一阶展开式将P波反射振幅展开后,用线性关系近似表达非线性关系,经过几次迭代后,在理论上可以达到很高的精度,但是广义线性反演算法的核心部分--Jacobian矩阵由于矩阵条件数过大,往往会造成反演算法的不稳定,其应用范围得到了限制.贝叶斯反演方法是通过引入模型参数的先验分布结合噪声的似然函数,生成模型参数的后验分布,通过求取模型参数的最大后验概率分布来得到模型参数的反演解,由于引入模型参数的先验分布信息,可以有效的降低反演的不适定问题.本文将两种反演算法的思想相结合,利用广义线性反演算法的思想,构建AVO正演模拟的过程来提高大角度地震数据反演的精度,同时结合贝叶斯理论,通过引入模型参数的先验分布信息构建反演目标函数的正则化项,可以有效降低由于Jacob矩阵条件数过大带来的反演不适定问题,该算法假设模型参数服从三变量柯西分布.  相似文献   

9.
含噪声数据反演的概率描述   总被引:5,自引:4,他引:1       下载免费PDF全文
根据贝叶斯理论给出了对含噪声地球物理数据处理的具体流程和方法,主要包括似然函数估计和后验概率计算.我们将数据向量的概念扩展为数据向量的集合,通过引入数据空间内的信赖度,把数据噪声转移到模型空间的概率密度函数上,即获得了反映数据本身的不确定性的似然函数.该方法由于避免了处理阶段数据空间内的人工干预,因而可以保证模型空间中的概率密度单纯反映数据噪声,具有信息保真度高、保留可行解的优点.为了得到加入先验信息的后验分布,本文提出了使用加权矩阵的概率分析法,该方法在模型空间直接引入地质信息,对噪声引起的反演多解性有很强的约束效果.整个处理流程均以大地电磁反演为例进行了展示.  相似文献   

10.
本文提出了一个估计模态参数的方法。此法利用修改的高斯极小化方法,给出一组使极大似然平方函数和为最小的模态参数。 这个方法适用于象桥、坝和建筑物等大型结构的偏心起振机振动试验和结构脉动响应的分析。所采用的数学模型为线性和参数时不变的。 计算机实验结果表明,这个方法具有令人满意的可识别效力。即使存在很强的模态耦合也能估计出系统的模态参数。还可以给出参数的置信域。文章的最后还给出了一个实际例子。  相似文献   

11.

Modal parameters, including fundamental frequencies, damping ratios, and mode shapes, could be used to evaluate the health condition of structures. Automatic modal parameter identification, which plays an essential role in realtime structural health monitoring, has become a popular topic in recent years. In this study, an automatic modal parameter identification procedure for high arch dams is proposed. The proposed procedure is implemented by combining the density-based spatial clustering of applications with noise (DBSCAN) algorithm and the stochastic subspace identification (SSI). The 210-m-high Dagangshan Dam is investigated as an example to verify the feasibility of the procedure. The results show that the DBSCAN algorithm is robust enough to interpret the stabilization diagram from SSI and may avoid outline modes. This leads to the proposed procedure obtaining a better performance than the partitioned clustering and hierarchical clustering algorithms. In addition, the errors of the identified frequencies of the arch dam are within 4%, and the identified mode shapes are in agreement with those obtained from the finite element model, which implies that the proposed procedure is accurate enough to use in modal parameter identification. The procedure is feasible for online modal parameter identification and modal tracking of arch dams.

  相似文献   

12.
提出了基于经验模式分解(EMD)的环境激励结构模态参数随机子空间识别(SSI)方法。该方法用设置间断频率的EMD将结构环境振动响应原始信号分解成若干个基本模式分量(IMF),使每一个基本模式分量仅为结构的某一阶固有模态,进而用随机子空间方法进行模态参数识别。实桥环境振动实验分析结果表明,该方法能有效地避免结构各阶模态之间的相互影响,能够更清晰方便地得到结构的模态参数。  相似文献   

13.
Tibetan heritage buildings have a high historical and cultural value. They have endured adverse environmental loadings over hundreds of years without significant damage. However, there are few reports on their structural characteristics under normal environmental loadings and their behavior under dynamic loadings. In this research, a typical Tibetan wooden wall-frame building is selected to study its dynamic characteristics. Field measurements of the structure were conducted under environmental excitation to collect acceleration responses. The stochastic subspace identification (SSI) method was adopted to calculate the structural modal parameters and obtain the out-of-plane vibration characteristics of the slab and frames. The results indicated that the wall-frame structure had a lower out-of-plane stiffness and greater in-plane stiffness due to the presence of stone walls. Due to poor identified damping ratio estimates from the SSI method, a method based on the variance upper bound was proposed to complement the existing variance lower bound method for estimating the modal damping ratio to address the significant damping variability obtained from different points and measurements. The feasibility of the proposed method was illustrated with the measured data from the floor slab of the structure. The variance lower and upper bound methods both provided consistent results compared to those from the traditional SSI method.  相似文献   

14.
Performance based design becomes an effective method for estimating seismic demands of buildings. In asymmetric plan tall building the effects of higher modes and torsion are crucial. The consecutive modal pushover (CMP) procedure is one of the procedures that consider these effects. Also in previous studies the influence of soil-structure interaction (SSI) in pushover analysis is ignored. In this paper the CMP procedure is modified for one-way asymmetric plan mid and high-rise buildings considering SSI. The extended CMP (ECMP) procedure is proposed in order to overcome some limitations of the CMP procedure. In this regard, 10, 15 and 20 story buildings with asymmetric plan are studied considering SSI assuming three different soil conditions. Using nonlinear response history analysis under a set of bidirectional ground motion; the exact responses of these buildings are calculated. Then the ECMP procedure is evaluated by comparing the results of this procedure with nonlinear time history results as an exact solution as well as the modal pushover analysis procedure and FEMA 356 load patterns. The results demonstrate the accuracy of the ECMP procedure.  相似文献   

15.
In the water resources field, there are emerging problems such as temporal changes of data and new additions of water sources. Non-mixture models are not efficient in analyzing these data because these models are developed under the assumption that data do not change and come from one source. Mixture models could successfully analyze these data because mixture models contain more than one modal. The expectation maximization (EM) algorithm has been widely used to estimate parameters of the mixture normal distribution for describing the statistical characteristics of hydro meteorological data. Unfortunately, the EM algorithm has some disadvantages, such as divergence, derivation of information matrices, local maximization, and poor accuracy. To overcome these disadvantages, this study proposes a new parameter estimation approach for the mixture normal distribution. The developed model estimates parameters of the mixture normal distribution by maximizing the log likelihood function using a meta-heuristic algorithm—genetic algorithm (GA). To verify the performance of the developed model, simulation experiments and practical applications are implemented. From the results of experiments and practical applications, the developed model presents some advantages, such as (1) the proposed model more accurately estimates the parameters even with small sample sizes compared to the EM algorithm; (2) not diverging in all application; and (3) showing smaller root mean squared error and larger log likelihood than those of the EM algorithm. We conclude that the proposed model is a good alternative in estimating the parameters of the mixture normal distribution for kutotic and bimodal hydrometeorological data.  相似文献   

16.
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.  相似文献   

17.
对主跨为160m的预应力砼变截面连续梁桥佛开高速九江大桥进行了理论与实验模态分析.首先介绍了环境激励条件下现场模态测试布置及过程,利用随机子空间法(SSI)进行了桥梁模态参数识别.建立了桥梁有限元模型.并对理论和实验模态分析结果进行了比较和讨论。实验与有限元计算结果在竖向模态频率及振型上总体吻合较好。测试结果可以为有限元模型修正提供依据:模态测试与有限元分析相结合.可以为桥梁长期健康监测和损伤评估提供较可靠的基准模型。  相似文献   

18.
In this study, simplified numerical models are developed to analyze the soil-structure interaction (SSI) effect on frame structures equipped with viscoelastic dampers (VEDs) based on pile group foundation. First, a single degree-of-freedom (SDOF) oscillator is successfully utilized to replace the SDOF energy dissipated structure considering the SSI effect. The equivalent period and damping ratio of the system are obtained through analogical analysis using the frequency transfer function with adoption of the modal strain energy (MSE) technique. A parametric analysis is carried out to study the SSI effect on the performance of VEDs. Then the equilibrium equations of the multi degree-of-freedom (MDOF) structure with VEDs considering SSI effect are established in the frequency domain. Based on the assumption that the superstructure of the coupled system possesses the classical normal mode, the MDOF superstructure is decoupled to a set of individual SDOF systems resting on a rigid foundation with adoption of the MSE technique through formula derivation. Numerical results demonstrate that the proposed methods have the advantage of reducing computational cost, however, retaining the satisfactory accuracy. The numerical method proposed herein can provide a fast evaluation of the efficiency of VEDs considering the SSI effect.  相似文献   

19.
A methodology is developed in this paper to include soil–structure interaction effects in optimal structural control, General Multi-Degree-Of-Freedom (MDOF) structural models are considered. The SSI transfer functions for ground motion and control force in the physical space are presented first, followed by a methodology for using system identification techniques to find an equivalent fixed-base model of an MDOF SSI system. An iterative technique is applied to combine these methods for the determination of optimal control gains. The control effectiveness of considering soil–structure interaction is investigated for the controlled SSI system. It is found that the control algorithm considering SSI effects is more effective than the corresponding control algorithm assuming a fixed-base system model. In addition, the advantage of applying this methodology is observed to be more prominent in the cases where the SSI effects are more significant. © 1997 by John Wiley & Sons, Ltd.  相似文献   

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