Physical mechanism of the chaotic detection of the unknown frequency of weak harmonic signal and effects of damping ratio on the detection results

In the zero-order approximation, we use the perturbation method of parameter with small magnitude to prove that the harmonic frequency in the solution of the equation is close to that of the driving force when the chaotic system from Duffing－Holmes equation stays in the stable periodic state, which is the physical mechanism of the detection of the unknown frequency of weak harmonic signal using the chaotic theory. The result of the simulation experiment shows that the method proposed in this paper, by which one can determine the frequency of the stable system from the number of circulation change of the phase state directionally across a fixed phase state point (x,\dot{x}) in fixed simulation time period, is successful. Analyzing the effects of the damping ratio on the chaotic detection result, one can see that for different frequency ranges it is necessary to carefully choose corresponding damping ratio α.     

Adhesion elastic contact and hysteresis effect

In this paper, we study the relationship between the pull-off force and the transition parameter (or Tabor number) as well as the variation of the pull-off radius with the transition parameter in the adhesion elastic contact. Hysteresis models are presented to describe the contact radius as a function of external loads in loading and unloading processes. Among these models, we verified the hysteresis model from Johnson－Kendall－Roberts theory, based on which the calculated results are in good agreement with experimental ones.     

钙镁硅酸盐系列结晶釉的研究——钙、镁氧化物对结晶釉析晶的影响

针对钙镁硅酸盐系列结晶釉,研究配方中钙、镁氧化物含量及CaO/MgO比值发生变化时,对釉烧温度及析晶体矿物种属、析晶集合体形态的影响;分析探讨钙、镁氧化物影响析晶的作用机理.研究表明,CaO/MgO比值近于1时,釉烧温度相对较低;CaO/MgO比值向大于1或小于1方向变化时,釉的烧成温度趋于升高.CaO/MgO比值在影响釉析晶体矿物种属的同时,影响析晶集合体的形态特征,认为这是由矿物的析晶习性决定的.     

引力波探测中的被动隔振系统

介绍了引力波探测实验中的被动隔振系统的基本原理和研究现状,讨论其性能及特点.低频被动隔振系统,如七级气体弹簧隔振系统,多级隔振堆,四级悬臂弹簧隔振系统以及三级弯曲弹簧隔振系统在10Hz以上,都具有好的隔振性能;倒摆、折叠摆、 X摆和锥摆等超低频水平隔振系统实现了几十秒的共振周期;建立在对称扭杆弹簧系统基础上,构思新颖的被动垂直隔振系统克服了传统被动垂直隔振系统无法解决的困难,实现了超低频被动垂直隔振.      

On the cross ratios of points and lines in Moufang planes

In this paper, first we extend the known definition of cross-ratio of collinear points to whole Moufang plane. Later we introduce the cross-ratios for lines, and we adapt the known results about the cross-ratios of points to cross-ratios of lines using the principle of duality. Finally, we give a theorem which describes the relation between the cross-ratios of points and lines. Received 2 March 2000; revised 22 November 2000.     

A stochastic programming model using an endogenously determined worst case risk measure for dynamic asset allocation

We present a new approach to asset allocation with transaction costs. A multiperiod stochastic linear programming model is developed where the risk is based on the worst case payoff that is endogenously determined by the model that balances expected return and risk. Utilizing portfolio protection and dynamic hedging, an investment portfolio similar to an option-like payoff structure on the initial investment portfolio is characterized. The relative changes in the expected terminal wealth, worst case payoff, and risk aversion, are studied theoretically and illustrated using a numerical example. This model dominates a static mean-variance model when the optimal portfolios are evaluated by the Sharpe ratio. Received: August 15, 1999 / Accepted: October 1, 2000?Published online December 15, 2000     

ON TESTING THE EQUALITY OF K MULTIPLE AND PARTIAL CORRELATION COEFFICIENTS

1 IntroductionWe are given k independent Wishart densities of the p x p random symmetric positivedefinite matrices G1, G2,' t Gkwhere Ri denotes the population correlation matrir, and K as a generic letter denotes thenormalizing constants of density functions in this paper. The squared multiple correlationcoefficient of the i-th population is pf = r:Riz1.)ri, whereand a likelihood ratio test for testing the hypothesisis desired.Now Wilks (l932, l946) provides certain procedures and guidel…     

恢复率正比于总人数的多传染阶段的艾滋病模型及其性态

文 [1 ]、[2 ]和 [3]主要是建立多传染阶段的艾滋病模型 ,并根据各自建立的模型 ,来讨论疾病传染的消除平衡态与流行平衡态以及它们的稳定性 .本文首先对文 [3]中的模型作适当的改进 ,再根据改进的数学模型来分析疾病传染的动态性质 ,着重讨论多传染阶段情况下艾滋病传染的持久性及其对总人数的影响 .     

Matching tyre size to weight, speed and power available for maximising pulling ability of agricultural tractors

The desirable weight-to-axle power ratio for agricultural tractors is determined by the necessity for the optimum utilisation of the available axle power to produce the required drawbar pull at a preselected slip. For a vehicle designed to operate in a given speed range, the weight-to-axle power ratio should be within a particular limit, so that a specific level of conversion efficiency can be maintained. In this paper attempts have been made to select suitable tyres for Indian two-wheel drive tractors operating in sandy clay loam soils on the basis of weight-to-power utiisation and maximum pull-to-optimum weight ratio at a preselected slip using the developed traction prediction equations. A comparison has also been made between the desired and actual weight on a single traction wheel and suitable tyre and tyre normally fitted in Indian two wheel drive tractors up to 35 kW.     

考虑材料拉压异性的固支圆板塑性极统一解

本文采用最新的统一强度理论求出了固支圆板的塑性极限荷载,内力场及速度的统一解;得出了强度理论参数b及材料的不同拉压比α对塑性极限的影响曲线,所给出的解可以灵活地适用于各种不同特性的材料及机械、土木、航空等工程的相关结构中,文献中已有的Tresca解,Mises解和双剪统一屈服准则解均为本文的特例,本文的统一解还给出了一系列新的结果,统一解大于Tresca,Mohr-Coulomb的单剪理论解,它可以更好地发挥材料的强度潜力,工程应用可以取得明显的经济效益。