Tracking problem under a time-varying topology

This paper studies the multi-agent tracking problem of a third-order maneuvering target under uncertain communication environments. Each tracking agent is assumed to be a third-order system and can only use its own and neighbors＇ position, velocity, and acceleration information to design its control input. In this work, the uncertain communication environments are modelled by a finite number of constant Laplacian matrices together with their corresponding scheduling functions. Sufficient conditions for the existence of a tracking strategy have been expressed in terms of the solvability of linear matrix inequalities. Finally, a numerical example is employed to demonstrate the effectiveness of the proposed tracking strategy.     

线弹性问题的一个四面体元分析

构造了一个新的locking-free非协调四面体元,研究了单元对三维纯位移弹性问题的一致收敛性,得到了最优的误差估计结果.     

New method to solve electromagnetic parabolic equation

This paper puts forward a new method to solve the electromagnetic parabolic equation （EMPE） by taking the vertically-layered inhomogeneous characteristics of the atmospheric refractive index into account. First, the Fourier transform and the convo- lution theorem are employed, and the second-order partial differential equation, i.e., the EMPE, in the height space is transformed into first-order constant coefficient differential equations in the frequency space. Then, by use of the lower triangular characteristics of the coefficient matrix, the numerical solutions are designed. Through constructing ana- lytical solutions to the EMPE, the feasibility of the new method is validated. Finally, the numerical solutions to the new method are compared with those of the commonly used split-step Fourier algorithm.     

缺陷半球壳谐振子振动特性的研究

半球壳谐振子是新型半球谐振陀螺的敏感部件,本文主要研究这种谐振子有某种缺陷时的振动特性。所得结论可为选择半球谐振子提供一定的理论依据。     

稀加筋层合板弯曲问题的半解析法

本文研讨的是复合材料稀加筋层合板的弯曲问题。取一挠度级数表达式满足内部控制方程，并由此导出相应的变形及内力显表达式。挠度试函数中的未知知量将通过边界条件和筋条与板面接触处的挠度协调，ｙ向转角协调求得。文中用此法计算了几个例题通过分析与比较，说明了这方法的合理性，并得到了一些新的结果。     

任意四边形Reissner—Mindlin板元

提出一种任意四边形Ｒｅｉｓｓｎｅｒ－Ｍｉｎｄｌｉｎ板元，挠度和转角均采用分片双线性函数。但剪切应变用它的线性扦值所代替，当板厚趋于零时这对应于Ｋｉｒｃｈｈｏｆｆ条件，因而避免了Ｌｏｃｋｉｎｇ现象。给出数值结果表明该单元的有效性。     

终边相同的角的表示形式及应用

<正>所有与角α终边相同的,连同角α在内(而且只有这样的角)可以用式子k·360°+α,k∈Z表示,或用2kπ+α,k∈Z表示,它们互称终边相同的角.与角α终边相同的角的集合可记作S={β|β=k·360°+α,k∈Z},或S={β|β=2kπ+α,k∈Z}.下面举例说明这一表示形式及应用.例1写出在-720°到720°之间与-1050°的角终边相同的角的度数.简析首先写出与-1050°的角终边相同     

R600a喷雾冷却系统换热过程

以R600a压力式封闭系统喷雾冷却过程为研究对象,对其换热过程进行分析。对液滴撞击热面后的状态进行建模,分析了其运动状态。通过忽略液膜的对流换热,引入韦伯数来简化并修正雾滴与热源表面的对流换热系数关联式;借鉴二次成核理论,通过单位时间内,单位面积上覆盖的雾滴数量对核态沸腾换热系数关联式修正。通过上述分析,以对流换热和核态沸腾换热两种机理为中心,建立了新的换热系数关联式。通过与其他文献的关联式、实验测量值进行比较、不同工质进行比较、不同实验系统比较,发现该式预测值和实验测量值偏差在±20%以内,能够很好地预测压力式封闭系统喷雾冷却过程的换热系数。     

Study of diode-pumped Yb:YAG disk lasers at low temperature

A Yb:YAG disk laser with V-shaped stable resonator and active-mirror configuration,end-pumped by a 940-nm InGaAs laser diode array,is demonstrated.Performances and optimization of the disk laser at low temperature over a range of 130-200 K are investigated theoretically and experimentally.Laser output energy of 1.46 J/pulse operating at 10-Hz repetition rate is obtained with the optimum output coupler transmission of 30%,and the corresponding optical-to-optical efficiency is 48.7%.