非线性病态问题解算的扰动分析

非线性病态问题除了要分析模型本身的病态性外,还要考虑非线性最小二乘算法中初始值选取、正交化过程等造成的扰动对病态分析的影响.在广义条件数定义的基础上,推导非线性病态法方程解的扰动估计式,并以扰动估计式为基础,讨论非线性算法对非线性病态问题判断和分析的影响,产生影响的原因主要包括线性近似时系数矩阵的扰动、附加的截断误差及...     

Earthquake response analysis of the Hualien soil–structure interaction system based on updated soil properties using forced vibration test data

This paper presents results of the earthquake response analysis on a large‐scale seismic test (LSST) structure which was built at Hualien in Taiwan for an international cooperative research project. The analysis is carried out using a computer program which has been developed based on axisymmetric finite element method incorporating dynamic infinite elements for far‐field soil region and a substructured wave input technique. The non‐linear behaviour of the soil medium is taken into account using an iterative equivalent linearization procedure. Two sets of the soil and structural properties, namely the unified and the FVT‐correlated models, are utilized as the initial linear values. The unified model was provided by a group of experts in charge of the geotechnical experiments, and the correlated model was obtained through a system identification procedure using the forced vibration test (FVT) results by the present authors. Three components of ground accelerations are artificially generated through an averaging process of the Fourier amplitude spectra of the ground accelerations measured near the test structure, and they are used as the control input motions for the earthquake analysis. It has been found that the earthquake responses predicted using the generated control motions and with the FVT‐correlated model as the initial linear properties in the equivalent linearization procedure compare very well with the observed responses. Copyright © 2001 John Wiley & Sons, Ltd.     

Response prediction,experimental characterization and P‐spectra design of frames with viscoelastic–plastic dampers

Viscoelastic–plastic (VEP) dampers are hybrid passive damping devices that combine the advantages of viscoelastic and hysteretic damping. This paper first formulates a semi‐analytical procedure for predicting the peak response of nonlinear SDOF systems equipped with VEP dampers, which forms the basis for the generation of Performance Spectra that can then be used for direct performance assessment and optimization of VEP damped structures. This procedure is first verified against extensive nonlinear time‐history analyses based on a Kelvin viscoelastic model of the dampers, and then against a more advanced evolutionary model that is calibrated to characterization tests of VEP damper specimens built from commercially available viscoelastic damping devices, and an adjustable friction device. The results show that the proposed procedure is sufficiently accurate for predicting the response of VEP systems without iterative dynamic analysis for preliminary design purposes. A design method based on the Performance Spectra framework is then proposed for systems equipped with passive VEP dampers and is applied to enhance the seismic response of a six‐storey steel moment frame. The numerical simulation results on the damped structure confirm the use of the Performance Spectra as a convenient and accurate platform for the optimization of VEP systems, particularly during the initial design stage. Copyright © 2016 John Wiley & Sons, Ltd.     

基于反馈线性化的多变量模糊迭代控制器设计

针对一类多变量非线性控制对象的轨迹跟踪问题,设计一种模糊迭代学习控制器,利用模糊控制器动态调节迭代学习律增益矩阵参数,通过反馈线性化算法和信息融合技术降低模糊控制器输入变量维数,实现多变量非线性系统轨迹跟踪控制.结果表明:与固定增益型迭代学习控制器相比,采用模糊迭代学习控制器学习速度提高,控制稳定性改善,两自由度机械臂的轨迹跟踪控制仿真结果也验证模糊迭代学习控制器的优越性.     

THE EFFECT OF HARD INTERLAYER THICKNESS ONTHE SITE SEISMIC RESPONSE

Studies on the effect of near-surface overburden soil layers on seismic motion have shown that the overburden soil layers have a significant impact on the seismic effect of the site due to the formation age, genetic type, thickness difference, structure, and dynamic characteristics of the soil layers. In this paper, the one-dimensional seismic response analysis of a nuclear power plant site containing a thick hard interlayer was conducted to discuss the influence of the hard interlayer thickness on the site seismic response, so as to provide a basis for determining the seismic motion parameters for seismic design of similar sites. Based on the engineering geological data of a nuclear power plant site, five models of one-dimensional soil-layer seismic response analysis were built, and the equivalent linear method of the one-dimensional site seismic response was applied to analyze the effect of the interlayer thickness on the peak acceleration and the acceleration response spectra of the site seismic response. The seismic response characteristics of the site and influence rules of the hard interlayer thickness are summarized as follows:1)Under different input seismic motion levels, the peak acceleration at the top of the hard interlayer was less than the input peak acceleration, and the peak acceleration at the ground surface of site was greater than the input peak acceleration. 2)Under the same input seismic motion, the ratios of the peak accelerations at the top of hard interlayer to the input peak accelerations were smaller than the ratios of the peak accelerations at the ground surface to the input peak acceleration, and these ratios first decreased and then increased gradually with the increase of the hard interlayer thickness; while for the same hard interlayer thickness, these ratios gradually decreased as the input peak acceleration increasing. 3)For the same input seismic motion, the ratios of the peak accelerations at the ground surface of site to those at the top of the hard interlayer increased gradually as the hard interlayer thickness increased; however, corresponding to different hard interlayer thicknesses, the variation characteristics of ratios which are the peak accelerations at the ground surface of site to those at the top of the hard interlayer were inconsistent with the increase of the input peak acceleration. 4)The hard interlayer had a significant influence on the short-period acceleration response spectrum and the thicker the hard interlayer was, the wider the influence frequency band would be; while for a special hard interlayer thickness, the influence frequency band is certain, and the hard interlayer had little effect on the acceleration response spectrum coordinates outside this frequency band, the longer the period is, the less the influence of the hard interlayer on the acceleration response spectrum coordinates. The seismic response characteristics of the site and influence rules of the hard interlayer thickness indicate that the hard interlayer thickness has a significant impact on the peak acceleration and the acceleration response spectra of the site seismic response, and the hard interlayer has obvious isolation effect at the seismic motion, and the increase of its thickness reduces the nonlinear effect of the site and leads to the wider influence frequency band. Meanwhile, the higher the input peak acceleration is, the stronger the nonlinear effect of the site, and it's remarkable that the soft layer overlying the hard interlayer has a significant amplification effect on the seismic motion.     

一种新的共线方程线性化方法及应用

分析了共线条件方程两种不同形式之间的关系，提出了一种新的共线条件方程线性化方法。该方法不仅使线性化过程通俗易懂，而且线性化后各改正数的系数简单整齐。文中还将这种新的线性化共线条件方程用于空间后方交会实验，取得了与常规方法完全一致甚至更好的结果，从而说明该方法可以用于摄影测量的研究与生产。     

济宁矿区坐标转换精度影响因素的分析

GPS应用中经常涉及到坐标转换问题。利用局部区域GPS控制网数据求解坐标转换模型的转换参数时,精度受很多因素的影响。本文介绍了七参数基本模型,并基于济宁矿区的北京54和WGS-84坐标数据讨论了坐标转换模型的不同求解方法以及公共点选取对坐标转换精度的影响。     

A BAROTROPIC QUASI-GEOSTROPHIC MODEL WITH LARGE-SCALE TOPOGRAPHY, FRICTION AND HEATING

Based on the barotropic equations including large-scale topography, friction and heat factor, a barotropic quasi-geostrophic model with large-scale topography, friction and heating is obtained by means of scale analysis and small parameter method. It is shown that this equation is a basic one, which is used to study the influence of the Tibetan Plateau on the large-scale flow in the atmosphere. If the friction and heating effect of large-scale topography are neglected, this model will degenerate to the general barotropic quasi-geostrophic one.     

交互投影迭代算法的原理与实践：用线性化分离方法求解Non—LTE恒星大气模型

讨论交互投影的迭代算法在线性化分离求解Non-LTE恒星大气模型中的运用和实践，交互投影的迭代算法可以实现降维和病态分离，它的解可以收敛至原来解的最小二乘解，实践证实了这一点，因此线性化分离求解大气模型的方法可以代替完全线性化方法。     

随机变量非线性变换统计性质的高精度逼近算法

应用扩展卡尔曼滤波对非线性系统进行状态估计时 ,要对系统的动力方程进行线性化 ,这就为状态的估计带来一定的误差。本文首先对非线性变换的函数进行级数展开 ,获得了随机变量经非线性变换后的真实均值和协方差表达式 ,并得到一阶线性化的均值和协方差 ,然后提出了一种精度更高的变换算法用以逼近非线性变换后的真实均值和协方差 ,理论分析和数值试验都表明新算法不仅具有更高的精度 ,而且更容易实现