System identification of linear structures based on Hilbert–Huang spectral analysis. Part 2: Complex modes     

Jann N. Yang  Ying Lei  Shuwen Pan  Norden Huang 《地震工程与结构动力学》2003,32(10):1533-1554

A method, based on the Hilbert–Huang spectral analysis, has been proposed by the authors to identify linear structures in which normal modes exist (i.e., real eigenvalues and eigenvectors). Frequently, all the eigenvalues and eigenvectors of linear structures are complex. In this paper, the method is extended further to identify general linear structures with complex modes using the free vibration response data polluted by noise. Measured response signals are first decomposed into modal responses using the method of Empirical Mode Decomposition with intermittency criteria. Each modal response contains the contribution of a complex conjugate pair of modes with a unique frequency and a damping ratio. Then, each modal response is decomposed in the frequency–time domain to yield instantaneous phase angle and amplitude using the Hilbert transform. Based on a single measurement of the impulse response time history at one appropriate location, the complex eigenvalues of the linear structure can be identified using a simple analysis procedure. When the response time histories are measured at all locations, the proposed methodology is capable of identifying the complex mode shapes as well as the mass, damping and stiffness matrices of the structure. The effectiveness and accuracy of the method presented are illustrated through numerical simulations. It is demonstrated that dynamic characteristics of linear structures with complex modes can be identified effectively using the proposed method. Copyright © 2003 John Wiley & Sons, Ltd.  相似文献   

Evaluation of predictors of non‐linear seismic demands using ‘fishbone’ models of SMRF buildings     

Nicolas Luco  Yasuhiro Mori  Yosuke Funahashi  C. Allin Cornell  Masayoshi Nakashima 《地震工程与结构动力学》2003,32(14):2267-2288

Predictors (or estimates) of seismic structural demands that are less computationally time‐consuming than non‐linear dynamic analysis can be useful for structural performance assessment and for design. In this paper, we evaluate the bias and precision of predictors that make use of, at most, (i) elastic modal vibration properties of the given structure, (ii) the results of a non‐linear static pushover analysis of the structure, and (iii) elastic and inelastic single‐degree‐of‐freedom time‐history analyses for the specified ground motion record. The main predictor of interest is an extension of first‐mode elastic spectral acceleration that additionally takes into account both the second‐mode contribution to (elastic) structural response and the effects of inelasticity. This predictor is evaluated with respect to non‐linear dynamic analysis results for ‘fishbone’ models of steel moment‐resisting frame (SMRF) buildings. The relatively small number of degrees of freedom for each fishbone model allows us to consider several short‐to‐long period buildings and numerous near‐ and far‐field earthquake ground motions of interest in both Japan and the U.S. Before doing so, though, we verify that estimates of the bias and precision of the predictor obtained using fishbone models are effectively equivalent to those based on typical ‘full‐frame’ models of the same buildings. Copyright © 2003 John Wiley & Sons, Ltd.  相似文献   

在MapInfo中实现区域对象样点布设功能   总被引：1，自引：0，他引：1  

王唤良  朱建军  张贵 《测绘工程》2003,12(4):30-32

随着GIS在森林资源管理中应用的不断深入，在GIS系统中实现林业专业抽样设计功能是非常必要的。本文使用MapBasic鳊程语言实现三种样点布设功能。操作时，用鼠标点击欲布样点区域，在弹出对话框中作出回答，就能得到样点布设图和样点坐标表。  相似文献   

A Linear Programming Approach to Determine the Normative Composition of Sedimentary Rocks     

V. N. Podkovyrov  O. V. Graunov  R. L. Cullers 《Mathematical Geology》2003,35(4):459-476

The analysis of modal and normative composition of sedimentary rocks is widely used for studying their sources and tectonic settings. The normative calculation of the mineral composition of rocks in this study is formulated as a linear programming problem and is solved by means of the simplex method. This enables both simultaneous and successive subtraction of a set of basic minerals from a rock sample represented by its chemical composition {SiO₂...LOI}. Such an approach provides a more exact calculation of the contribution of basic minerals in the rock. This mathematical approach is used to study two representative sets of sandstones and fine-grained rocks from a Meso- to Neoproterozoic marginal basin of southeastern Siberia (Uchur–Maya region, Yakutia) and a Pennsylvanian-Lower Permian uplifted continental block in Colorado, USA. The calculated normative mineral compositions of the Siberian sandstones are consistent with the observed modal compositions. These sandstones vary from K- Feldspar rich arkoses at the base of the sequence (the Uchur Group, lower Riphean) to quartz arenites or lithic sandstones and wacke in transgressive successions of the middle-upper Riphean. Arkoses and quartz arenites are dominant in Meso- to Neoproterozoic Siberia. These samples represent craton interior uplifted basement and quartzose, recycled orogen provenance of a stable craton in Rodinia. There are higher but consistent discrepancies between the calculated and observed compositions for the Pennsylvanian to Lower-Permian arkoses and quartz arenites (Sangre de Cristo, Belden, and Maroon Formations). The differences between the predicted and observed mineralogy may be due to uncertainties in the modes in the matrix and cement of the sandstones. This normative program should supplement modal calculations and provide better genetic constructions, especially in case of matrix-rich sandstones.  相似文献   

Smoothing and Change Point Detection for Gamma Ray Count Data   总被引：1，自引：0，他引：1  

Daniela Leonte  David J. Nott  William T. M. Dunsmuir 《Mathematical Geology》2003,35(2):175-194

Gamma ray detectors are used to measure the natural radioactivity of rocks. For a number of boreholes drilled at a site the gamma ray detector is lowered into each borehole and counts of gamma ray emissions at different depths are recorded as the instrument is gradually raised to ground level. The profile of gamma counts can be informative about the geology at each location. The raw count data are highly variable, and in this paper we describe the use of adaptive smoothing techniques and change point models in order to identify changes in the geology based on the gamma logs. We formulate all our models for the data in the framework of the class of generalized linear models, and describe computational methods for Bayesian inference and model selection for generalized linear models that improve on existing techniques. Application is made to gamma ray data from the Castelreagh Waste Management Centre which served as a hazardous waste disposal facility for the Sydney region between March 1974 and August 1998. Understanding the geological structure of this site is important for further modelling the transport of pollutants beneath the waste disposal area.  相似文献   

基于遗传算法的最优证券投资组合模型   总被引：2，自引：0，他引：2  

陈科燕  肖冬荣 《南京气象学院学报》2003,26(5):707-711

为了研究能使风险损失率最小、收益最大的最优证券投资组合问题，首先提出了多目标规划模型，并采用模糊优选法将多目标模型单目标化。随后尝试采用遗传算法来对其求解，给出了模型的遗传算法编码规则和算法步骤。最后通过实例论证了模型的合理性及遗传算法的有效性。  相似文献   

内蒙古色尔腾山山前断裂带乌加河段古地震活动   总被引：10，自引：0，他引：10       下载免费PDF全文

杨晓平  冉勇康  胡博  郭文生 《地震学报》2003,25(1):62-71

通过对色尔腾山山前断裂带乌加河段断层地貌研究，并结合前人对断裂带断裂活动性的工作，分析得到乌加河活动断裂段晚更新世晚期(距今1.445～2.234万年)以来平均垂直位移速率是0.48～0.75 mm/a，全新世早中期以来(距今5 570～8 830年)平均垂直位移速率是0.56～ 0.88 mm/a．利用5个探槽中揭露的古地震现象，结合前人对该断裂带古地震的研究结果，分析确定出2.7万年以来，色尔腾山山前断裂乌加河段共揭露出5次古地震事件，重复间隔约为4 300～4 400年．距今8 000～9 000年之间可能为一个古地震丛，而距今1～2万年之间可能遗漏了两次古地震事件．对比断层陡坎的高度与探槽中揭示出古地震事件的位移和，以及由断层平均位移速率和一次事件的位移得到古地震的重复间隔，得到阿拉盖兔探槽中缺失了3次古地震事件，整个活动断裂段上可能缺失了两次古地震事件．   相似文献   

声波测试中振子衰减的线列阵模型     

易南概  赵俭斌 《地震工程与工程振动》2003,23(2):81-84

从声波在岩体中传播产生衰减的基本原理出发，建立了声波衰减振子的线列阵模型。该模型是将传播声波路径的岩体分为若干个振子，从波动概念出发，以振动原理作依据建立波动方程．为探讨岩体声波衰减机制提供了一种新的研究方法，把振动和波动直观地联系起来．单一方向上有限点的声波测试技术有可能被多方向的声测技术所代替．该模型的建立，使模态分析和参数识别方法应用到岩体声波测试技术中成为可能。  相似文献   

非线性编辑与线性编辑在气象电视节目中的使用     

蓝设华  裴毅 《气象研究与应用》2003,24(3):46-47

通过对非线性编辑与线性编辑两者的概念及其特点、优势的介绍,指出在气象电视节目的后期制作中,怎样恰当地选择使用非线性编辑、线性编辑或二者同时使用。  相似文献   

n维非线性波动方程对应的线性方程Cauchy问题解的一个估计式     

郭华  李月  杨宝俊  刘财  杨冬  张景 《地球物理学进展》2003,18(1):142-145

对于地震波在地球介质中传播的传播非线性而言，在求解n维非线性波动方程Canchy问题时，需要求解其对应的线性波动方程Cauchy问题和建立一些解的估计式。我们已经求得了其对应的线性波动方程Canchy问题解的表达式。在此基础上，本文应用函数空间L^1(R^n)、L^∞（R）的范数，建立了n维非线性波动方程对应的线性波动方程Cancny问题解的一个估计式，为求解n维非线性波动方程莫定了基础。  相似文献