利用小尺寸缺口试样测定延性材料的单轴本构关系

提出了一种利用三点弯曲试样获取延性材料本构关系的测试方法：针对小尺寸缺口试样的三点弯曲线载荷-位移曲线,采用有限元辅助测试（Finite-element-analysis aided tests,FAT）方法,迭代获得材料代表性体积单元（Representative volume element,RVE）本构关系。研究表明,两种延性材料的有限元迭代反求结果和单轴拉伸试验结果吻合较好。应用该方法,可以采用小尺寸缺口试样来获取延性材料的本构关系。     

Analyses toward factors influencing sealing clearance of a metal rubber seal and derivation of a calculation formula

Sealing clearance is a key factor for a metal rubber seal’s sealability. The expansion coef-ficient and expansion deformation in the radial direction of metal rubber have been obtained through a thermal expansion experiment of metal rubber. The influence of the elastic modulus to the sealing clearance has been analyzed theoretically. By combining the temperature and elasticity factors of metal rubber with the elastic mechanics theory, the calculation formula of the sealing clearance has been derived, and the values of the sealing clearance and the leakage rate in certain working conditions have been calculated. Experimental results are consistent with calculation results in a high degree. The calculation formula of the sealing clearance can explain the influences of the temperature and elastic modulus factors of metal rubber on the sealing clearance. It can pro-vide guidance for the study of sealing mechanism of metal rubber seals.     

基于格子Boltzmann方法表面形貌对微通道对流换热的影响

为推动微通道冷却技术在航空发动机中的应用,进一步提高航空发动机性能,本文通过扫描电子显微镜、粗糙度扫描仪等多方式扫描得到实际加工物体表面形貌,结合分形理论进行处理,得到真实、光滑、分形插值、康托尔集四类圆形截面管模型,管径100μm~400μm;采用格子Boltzmann方法进行数值模拟,首先通过与文献中实验结果的对比,验证了此方法的正确性,然后对空气在这四类圆形截面微通道中的对流换热特性进行了数值模拟,计算雷诺数Re范围80~640;结果发现：表面形貌是微通道中对流换热不可忽略的因素,相对粗糙度越大越有利于换热,真实扫描管的换热性能要比相同条件下光滑管高2.22%;分形理论可用于微通道表面形貌的构建,在相同迭代次数下,分形插值模型与真实扫描形貌换热性能相差0.03%,而康托尔集模型与真实扫描形貌换热性能相差1.88%,分形插值模型较康托尔集模型更能真实地反映实际形貌;微通道中,随着雷诺数的增加Nu将不再是常数,而是有增加的趋势。     

Evolution of periodic orbits near the Lagrangian point L2

A study of the evolution of the periodic and the quasi-periodic orbits near the Lagrangian point L₂, which is located to the right of the smaller primary on the line joining the primaries and whose distance from the more massive primary is greater than the distance between the primaries, in the framework of restricted three-body problem for the Sun–Jupiter, Earth–Moon (relatively large mass ratio) and Saturn–Titan (relatively small mass ratio) systems is made. Two families of periodic orbits around the smaller primary are identified using the Poincaré surface of section method – family I (initially elliptical, gradually becomes egg-shaped with the increase in the Jacobi constant C and elongated towards the more massive primary) and family II (initially egg-shaped orbits elongated towards L₂ and gradually becomes elliptical with the increase in C). The family I in the Sun–Jupiter and Saturn–Titan systems contains two separatrix caused by third-order and fourth-order resonances, while the Earth–Moon system has only one separatrix which is caused by third-order resonances. Also in the Sun–Jupiter and the Saturn–Titan systems, family I merge with family II, around Jacobian constant 3.0393 and 3.0163, respectively, while in the Earth–Moon system, family II evolves separately from two different branches. The two branches merge at C = 3.184515. In the Earth–Moon system, the family II contains a separatrix due to third-order resonances which is absent in the other two systems.     

The ground GNSS tomography – unconstrained approach

The GNSS signal along its more than 20,000 km line of sight is bended, attenuated and delayed. These effects are results of the Earth’s atmosphere, and Sun radiation. Amongst all mentioned effects the one considered in this paper is a signal phase delay in troposphere.     

Mesh-dependence of Material with Softening Behavior

The issue of mesh-dependence emerges when the conventional continuum damage model is applied to handling the softening behavior. In order to circumvent the mesh-dependence, the non-local theory is introduced into the conventional damage model and the finite element formulas are derived for two-dimensional gradient-enhanced damage model. A new element is proposed in which the basic unknown quantities are displacement, non-local equivalent strain and the gradient of non-local equivalent strain. The element and constitutive equation proposed in this article are added to the finite element software ABAQUS through user subroutine UEL. Numerical results show that the gradient-enhanced damage model can eliminate the mesh-dependence and is effective for dealing with the issue of softening behavior.     

微分对策理论及其研究现状分析

本文阐述了微分对策在经济和军事领域中的研究和应用,详尽地叙述了微分对策的分类,并采用定量和定性方法对微分对策进行了分析,指出了微分对策的研究难点,对发展趋势作了较为详细的探讨。     

基于PIC＋FPGA飞机直流供电系统设备故障预测研究

针对飞机直流供电系统中直流设备工作情况，本文利用FPGA双进程有限状态机方法控制A／D转换器，快速准确采样多路信号。用模糊理论的建议语言规则，结合PIC单片机的控制优势，从而解决飞机直流供电系统设备故障预测报警。     

Decision-making of Aircraft Optimum Configuration Utilizing Multidimensional Game Theory

As multi-discipline coupling and components interference often affect the aircraft configuration decision-making and analysis during conceptual design process, this article presents an approach of multidimensional game theory based on aircraft components to deal with this problem. The idea is that the configuration decision-making process is regarded as the game for different disciplines and technologies, and the aircraft components are players. The payoff function with highest total gain means that according to the game protocols and multidimensional theory, the optimal aircraft configuration within the strategy set will be chosen. The decision-making model is applied to conceptual design process of the high altitude long endurance (HALE) unmanned aerial vehicle (UAV) based on the assessment of technological risk. The obtained optimum configuration is quite consistent with the current HALE UAV development trends. Thus, taking into account the coupling and interference factors, the multidimensional gaming model based on aircraft components will be an effective analysis method in the decision-making process of aircraft optimum configuration.     

Hilbert空间中严格伪压缩映像的强收敛定理

给出了一种求解严格伪压缩非自身映像不动点集上变分不等式的迭代算法，并证明了其强收敛性。此结果推广了姚永红和T．H．Kim等的研究结果。最后，进一步将结论推广到求解有限个严格伪压缩非自身映像公共不动点集上的变分不等式。