并矢相关谱分析方法在非线性资料分析中的应用

本文利用到率并矢相关谱估计方法,对青岛月平均气温（1896年1月—1992年12月）足赤道局部地区日表层水温（0°±0．5°S,165°±0．5°E;1986年12月6日—1991年11月16日）进行了谱分析,结果表明：青岛气温除具有1年周期的主频振荡和二倍峰频处0．5年周期二阶非线性耦合效应外,还隐含有2年周期的低频耦合振荡及0．4年周期的高频耦合振荡;赤道局部地区日表层水温含有90天,63天,50天,40天和29天等几个主要的低频周期振荡。     

Nonstationary stochastic response of structural systems equipped with nonlinear viscous dampers under seismic excitation

Nonlinear viscous dampers are supplemental devices widely used for enhancing the performance of structural systems exposed to seismic hazard. A rigorous evaluation of the effect of these damping devices on the seismic performance of a structural system should be based on a probabilistic approach and take into account the evolutionary characteristics of the earthquake input and of the corresponding system response. In this paper, an approximate analytical technique is proposed for studying the nonstationary stochastic response characteristics of hysteretic single degree of freedom systems equipped with viscous dampers subjected to a fully nonstationary random process representing the seismic input. In this regard, a stochastic averaging/linearization technique is utilized to cast the original nonlinear stochastic differential equation of motion into a simple first‐order nonlinear ordinary differential equation for the nonstationary system response variance. In comparison with standard linearization schemes, the herein proposed technique has the significant advantage that it allows to handle realistic seismic excitations with time‐varying frequency content. Further, it allows deriving a formula for determining the nonlinear system response evolutionary power spectrum. By this way, ‘moving resonance’ effects, related to both the evolutionary seismic excitation and the nonlinear system behavior, can be observed and quantified. Several applications involving various system and input properties are included. Furthermore, various response parameters of interest for the seismic performance assessment are considered as well. Comparisons with pertinent Monte Carlo simulations demonstrate the reliability of the proposed technique. Copyright © 2014 John Wiley & Sons, Ltd.     

Nonlinear free thermal convection in a spherical shell:A variable viscosity model

Introduction The velocity field of surface plate motion can be split into a poloidal and a toroidal parts.At the Earth′s surface,the toroidal component is manifested by the existence of transform faults,and the poloidal component by the presence of convergence and divergence,i.e.spreading and subduc-tion zones.They have coupled each other and completely depicted the characteristics of plate tec-tonic motions.The mechanism of poloidal field has been studied fairly clearly which is related to …     

利用非线性扩散的半自动纹理图像分割

介绍了一种非线性扩散过滤器法从包含纹理的图像中获取灰度、尺度和方向信息,并形成经过耦合保边平滑的5通道向量值图像,对纹理图像的分割变为对此向量值图像的分割。针对半自动操作的特点,在合理的假设前提下,采用了多通道统计区域分割法。试验结果表明,本文的纹理分割方法能有效地利用重要纹理特征与灰度的混合信息,是一种半自动的无监督纹理图像分割方法。     

VARIATIONS IN THE TELECONNECTION INTENSITY INDICES AND THEIR REMOTE RESPONSE TO THE EL NINO EVENTS IN THE NORTHERN HEMISPHERE*

In this study,the monthly and seasonal teleconnection intensity indices of the Pacific/North American(PNA),Western Atlantic(WA),Western Pacific(WP),Eastern Atlantic(EA) and Eurasian(EU) patterns for the period from 1951 through 1990 are calculated.On this basis,their climatic variations and the relationship between the five teleconnection intensity indices and the El Nino events are examined.It is noted that when El Nino is at its mature stage(winter),the weak WP pattern is mainly characteristic of the circulation and the strong PNA pattern is the next.In summer when El Nino occurs and develops,the strong EU,weak WP and weak WA patterns are the main characteristics without the PNA circulation anomalies.Finally,by the nonlinear mapping method a nonlinear mapping diagram is established for diagnosing El Nino using three summer teleeonuection intensity indices and May and August Southern Oscillation Indices(SOIs).Thus,the El Nino phenomenon occurring in 1991 is diagnosed.Besides,the winter atmospheric circulation of the 1991/1992 El Nino is found to be the weak WP pattern and the PNA pattern is also weak.     

Material component to non-linear relation between sediment yield and drainage network development: an flume experimental study

This paper examines the experimental study on influence of material component to nonlinear relation between sediment yield and drainage network development completed in the Lab. The area of flume drainage system is 81.2 m2, the longitudinal gradient and cross section slope are from 0.0348 to 0.0775 and from 0.0115 to 0.038, respectively. Different model materials with a medium diameter of 0.021 mm, 0.076 mm and 0.066 mm cover three experiments each. An artificial rainfall equipment is a sprinkler-system composed of 7 downward nozzles, distributed by hexagon type and a given rainfall intensity is 35.56 mm/hr.cm2. Three experiments are designed by process-response principle at the beginning the Ψ shaped small network is dug in the flume. Running time spans are 720 m, 1440 minutes and 540 minutes for Runs I, IV and VI, respectively. Three experiments show that the sediment yield processes are characterized by delaying with a vibration. During network development the energy of a drainage system is dissipated by two ways, of which one is increasing the number of channels (rill and gully), and the other one is enlarging the channel length. The fractal dimension of a drainage network is exactly an index of energy dissipation of a drainage morphological system. Change of this index with time is an unsymmetrical concave curve. Comparison of three experiments explains that the vibration and the delaying ratio of sediment yield processes increase with material coarsening, while the number of channel decreases. The length of channel enlarges with material fining. There exists non-linear relationship between fractal dimension and sediment yield with an unsymmetrical hyperbolic curve. The absolute value of delaying ratio of the curve     

用非线性模型研究环境温度场和涡度场对台风发生、发展的影响

本文采用二维板对称高截断谱模式研究了环境温度场和偶度场对台风发生、发展的影响，指出整层平均的环境温度场的水平梯度和涡度场是影响台风重要因子。较强的环境温度汤梯度的作用类似于水平方向不均匀加热场的作用，能造成暖区上升、冷区下沉的热力直接环流，并且温度场的梯度越大，环流越强。对于整层平均的绝对涡度场而言，只有弱的正的平均绝对涡度才有利于台风的维持。     

Internal wave eigenmodes and their weak nonlinear resonant interaction in a nonlinearly stratified fluid—A preliminary theoretical and experimental study

A preliminary theoretical and experimental study was conducted on internal wave modes and their weak nonlinear resonant interaction in a nonlinearly stratified fluid. An asymptotical solution of the modes and a dispersion relation of internal waves in a stratified fluid with density profile similar to that in our experiment were obtained theoretically. The resonant-interaction mechanism to 2nd order approximation is also discussed. The resonant interaction of the 3rd and 4th mode internal waves excited by the unstable 1st mode wave is analyzed on the basis of data obtained by conductivity probes. The resonant-interaction condition, i.e., ,k ₁+k ₃+k ₄=0, is examined. It is shown that the resonant instability increases with pycnocline thickness and wave maker driving frequency. This work is supported by the National Natural Science Foundation of China.     

TCA2003全站仪监测数据处理新方法

在微震颤状态下,TCA2003智能全站仪的垂直自动补偿器不能正常工作,因此由持续监测过程中的温度变化而引起的仪器竖轴周期性倾斜摆动不能通过自动补偿来改正。本文提出了一种新的非线性坐标转换方法,该方法用于TCA2003变形监测数据处理可以消除竖轴倾斜的影响,提取高精度的变形量,而且适用于大角度的三维坐标转换并且不依赖于初值。     

A novel bidirectional pendulum tuned mass damper using variable homogeneous friction to achieve amplitude-independent control

Passive tuned mass dampers (TMDs) are widely used in controlling structural vibrations. Although their principle is well established, the search for improved arrangements is still under way. This effort has recently produced an innovative paradigm of bidirectional pendulum TMD (BTMD) that, moving along a specially designed three-dimensional (3D) surface, can simultaneously control two in-plane orthogonal structural modes. In existing versions of BTMDs, energy dissipation is provided either by ordinary horizontal viscous dampers or by an original arrangement of vertical friction dampers. In this paper, a new paradigm is proposed, in which energy dissipation comes from the tangential friction arising along the pendulum surface out of an optimal spatially variable friction coefficient pattern. Within this paradigm, if the friction coefficient is taken proportional to the modulus of the pendulum surface gradient, the dissipation model results nonlinear homogeneous in the small-displacement domain, and the performance of the absorber, herein called the homogeneous tangential friction BTMD (HT-BTMD), results independent from the excitation level. The present work introduces this concept, derives the analytical model of the HT-BTMD, establishes a method for its optimal design, and numerically verifies its seismic effectiveness in comparison with viscously damped devices. The validity and feasibility of the concept are demonstrated through experimental tests on a small-scale lab prototype, which also show the efficacy of a stepwise approximation of the homogeneous friction pattern. The new device proves a competing alternative to existing BTMDs, and homogeneous tangential friction proves a promising new paradigm to provide pendular systems with amplitude-independent structural damping.