Constant risk aversion in stochastic contests with exponential completion times

This article analyzes a class of stochastic contests among multiple players under risk‐averse exponential utility. In these contests, players compete over the completion of a task by simultaneously deciding on their investment, which determines how fast they complete the task. The completion time of the task for each player is assumed to be an exponentially distributed random variable with rate linear in the player's investment and the completion times of different players are assumed to be stochastically independent. The player that completes the task first earns a prize whereas the remaining players earn nothing. The article establishes a one‐to‐one correspondence between the Nash equilibrium of this contest with respect to risk‐averse exponential utilities and the nonnegative solution of a nonlinear equation. Using the properties of the latter, it proves the existence and the uniqueness of the Nash equilibrium, and provides an efficient method to compute it. It exploits the resulting representation of the equilibrium investments to determine the effects of risk aversion and the differences between the outcome of the Nash equilibrium and that of a centralized version.© 2016 Wiley Periodicals, Inc. Naval Research Logistics 66:4–14, 2019     

PMI泡沫夹层结构雷达天线罩间接热-结构耦合分析与实验研究

机载PMI泡沫夹层结构雷达天线罩在环境温度变化时将产生表面变形现象并影响其使用性能,但对天线罩热变形结果进行实时检测分析具有一定难度。通过ANSYS间接热-结构耦合法建立了分析模型,对天线罩进行了计算分析,采用热膨胀片状模型进行了理论分析,在此基础上,设计并开展了温度冲击实验研究。结果表明, PMI夹层结构天线罩的热-结构耦合变形综合应变趋势是棱边处膨胀程度最大,由边缘至天线罩透波面中心处,膨胀程度逐渐减小;间接热-结构耦合计算应变值与实测应变值之间平均相差35.08%,间接热-结构耦合分析方法与模型具有一定的可信性。     

日照条件下伪装网热红外迷彩研究

采用热像仪记录伪装网样品不同时段的热图,分析了日照对伪装网热迷彩的影响.伪装网的热迷彩效果受装饰布太阳能吸收率影响非常大,甚至可以抵消或超过发射率差值因素.实验采用的伪装网深绿装饰布太阳能吸收率较高,热红外发射率比土黄装饰布低0.11以内时,在日照下深绿斑块辐射温度与土黄斑块接近或超过土黄斑块;深绿装饰布热红外发射率比土黄低0.27时,可保证在夏季的强日照下深绿斑块辐射温度低于土黄斑块,且有较大差值.     

SiO2气凝胶复合短切莫来石纤维多孔骨架复合材料的制备及性能

将短切莫来石纤维、硅溶胶、B4C粉,经过1260℃烧结制备多孔骨架,以正硅酸乙酯、去离子水和乙醇配制SiO2溶胶,并将多孔骨架与SiO2溶胶浸渍,经过超临界干燥制备SiO2气凝胶复合的莫来石隔热瓦.通过热重和差热分析、X射线能谱分析,表明B4C在700℃～900℃时发生氧化,生成B2O3将短切纤维粘接到一起,莫来石多孔骨架在1500℃以下稳定存在.具有纳米级孔洞结构的SiO2气凝胶填充了多孔骨架的微米级孔洞,隔热瓦的热导率在200℃、500℃、800℃、1000℃分别下降了44.3%、33.8%、34.6%、29.5%.此外,SiO2气凝胶的复合使得抗弯和抗压强度分别提高了50%和40%.     

Determination of suppliers' optimal quantity discount schedules with heterogeneous buyers

Although the quantity discount problem has been extensively studied in the realm of a single supplier and a single buyer, it is not well understood when a supplier has many different buyers. This paper presents an analysis of a supplier's quantity discount decision when there are many buyers with different demand and cost structures. A common discrete all‐unit quantity discount schedule with many break points is used. After formulating the model, we first analyze buyers' responses to a general discrete quantity discount schedule. This analysis establishes a framework for a supplier to formulate his quantity discount decision. Under this framework, the supplier's optimal quantity discount schedule can be formulated and solved by a simple non‐linear programming model. The applicability of the model is discussed with an application for a large U.S. distribution network. © 2002 John Wiley & Sons, Inc. Naval Research Logistics, 49: 46–59, 2002; DOI 10.1002/nav.1052     

碳化硼涂覆的碳纤维的抗热氧化性研究

用自己合成的裂解能得到碳化硼的聚碳硼烷,对碳纤维进行涂层,并详细测试了涂层碳纤维的抗热氧化性能。     

空间站零燃料大角度姿态机动路径存在性分析

零燃料大角度姿态机动技术是新近应用在国际空间站的新概念姿态控制技术。构造了以控制力矩陀螺为执行机构的空间站姿态控制动力学模型,在此基础上,建立了空间站本体与控制力矩陀螺之间的角动量守恒关系。针对各类大角度姿态机动任务,通过分析空间站惯量参数与控制力矩陀螺性能参数之间的解析关系,得到了零燃料大角度姿态机动路径的存在性条件。通过规划算例验证了存在性分析的正确性。所提出的零燃料大角度姿态机动存在性条件,为姿态机动路径的存在性判断提供了便捷可行的方法,为零燃料大角度姿态机动技术未来在我国空间站实施的可行性论证提供重要的理论依据。     

平流层长航时气球上升过程超冷现象影响因素分析

平流层长航时气球超冷现象是指内部浮升气体温度低于外界大气温度,超冷会引起浮力损失进而阻碍气球上升过程。建立了长航时气球辐射、对流等热模型和上升过程动力学模型,仿真分析了初始净浮力、蒙皮热物性参数、放飞时间和放飞日期等因素对超冷现象的影响规律。研究结果表明,上升过程内外温差随初始净浮力增大而增大且变化显著,可见光吸收率和红外吸收率增大时,内外温差值总体上呈减小趋势;放飞时刻和放飞日期对超冷现象影响较小,但放飞时间不同,气球上升至设计驻空高度的时间差别较大。该结论可为平流层浮空器总体方案设计和放飞试验提供有益参考。     

新型优化同心筒自力发射流场机理与降温效果

针对同心筒自力发射结构优化与热环境改善的问题,基于雷诺平均方程及轴对称N-S方程,依托弹性变形和网格再生成方法结合的动网格技术,对3种不同结构形式同心筒发射装置的二维轴对称流场进行了非定常数值计算,得到了不同结构条件下动态的流场机理及导弹热环境特性。计算结果显示:导流器方案能实现燃气流迅速顺利排导;筒底收缩段设计能有效遮挡反溅燃气流;筒口导流板结构较好抑制了内筒的"倒吸效应",确保导弹和内筒的热安全;揭示了优化同心筒的流场结构与降温机理,可为相关研究提供参考。     

电磁脉冲对高频结构的热效应分析

对于Cerenkov型器件,由高频结构温升引发的热脱附会造成的射频击穿,进而导致输出功率降低和脉冲缩短。基于此,研究了电磁脉冲对高频结构的加热温升效应,推导了高频结构的温升公式,指出了理论公式的适用范围,并给出了数值求解试件温升的方法。以二周期1 MV·cm^-1的高频结构为例,进行了温升的数值计算和仿真研究。结果表明,脉宽100 ns的单脉冲对不锈钢试件的温升效应明显高于其他材料。当系统工作在高重频时,电磁脉冲的温升作用可能使金属材料达到气体脱附的阈值从而引发气体脱附形成局部高压。该研究可为高功率微波源中的气体脱附以及射频击穿等研究提供参考。