关于值分布论中一个著名猜测的推广

运用Nevanlinna的亚纯函数理论方法,研究了超越亚纯函数的值分布理论,获得了如下的结论:设f为超越亚纯函数,c为f的不恒等于0的的小函数,则当n≥3时,fnf′-c有无穷多个零点;若附加条件f只有有限多个级≤2的零点,则对一切正整数n,fnf′-c都有无穷多个零点.因而对Chiang Y M的问题作出了部分回答.     

基于阶次跟踪和BP网络的齿轮箱故障模式识别

在对齿轮箱的原始振动信号进行时域采样的基础上,利用小波包分析对其进行消噪,然后对得到的数据进行角域重采样,得到基于阶次跟踪的采样信号,再对该信号进行特征参量提取,最后利用BP网络对得到的故障特征参量集进行模式识别。该方法能够避免传统分析方法中难以克服的“频率模糊”现象,对于瞬态信号有较好的分析处理能力,是对传统频谱分析法的有力补充。     

Tail hazard rate ordering properties of order statistics and coherent systems

We study tail hazard rate ordering properties of coherent systems using the representation of the distribution of a coherent system as a mixture of the distributions of the series systems obtained from its path sets. Also some ordering properties are obtained for order statistics which, in this context, represent the lifetimes of k‐out‐of‐n systems. We pay special attention to systems with components satisfying the proportional hazard rate model or with exponential, Weibull and Pareto type II distributions. © 2007 Wiley Periodicals, Inc. Naval Research Logistics, 2007     

基于乘波构形的跨大气层飞行器气动布局

利用乘波构形具有升阻比大的特点,将其作为滑翔跳跃式跨大气层飞行器的基准外形进行研究,提出了乘波构形的设计方法,详细分析了各设计参数对乘波构形的影响,研究了不同马赫数、不同优化目标下得到的乘波体的性能,得到了升阻比大、容积效率高的跨大气层飞行器气动布局,所得结论对跨大气层飞行器气动布局和乘波体外形的研究具有一定的参考价值。     

阶次跟踪分析在齿面磨损故障诊断中的应用

详细讨论了阶次跟踪分析的原理,并与传统频谱分析进行了比较,阐述了阶次跟踪分析的优越性及重采样方法实现的原理,通过对某型齿轮箱齿面磨损故障进行实例验证并提取特征参量,证明其有效性。     

Optimal and asymptotically optimal policies for assemble‐to‐order n‐ and W‐systems

We consider two specially structured assemble‐to‐order (ATO) systems—the N‐ and W‐systems—under continuous review, stochastic demand, and nonidentical component replenishment leadtimes. Using a hybrid approach that combines sample‐path analysis, linear programming, and the tower property of conditional expectation, we characterize the optimal component replenishment policy and common‐component allocation rule, present comparative statics of the optimal policy parameters, and show that some commonly used heuristic policies can lead to significant optimality loss. The optimality results require certain symmetry in the cost parameters. In the absence of this symmetry, we show that, for systems with high demand volume, the asymptotically optimal policy has essentially the same structure; otherwise, the optimal policies have no clear structure. For these latter systems, we develop heuristic policies and show their effectiveness. © 2016 Wiley Periodicals, Inc. Naval Research Logistics 62: 617–645, 2015     

Auctions in the post‐change‐order period

A change order is frequently initiated by either the supplier or the buyer, especially when the contract is long‐term or when the contractual design is complex. In response to a change order, the buyer can enter a bargaining process to negotiate a new price. If the bargaining fails, she pays a cancellation fee (or penalty) and opens an auction. We call this process the sequential bargaining‐auction (BA). At the time of bargaining, the buyer is uncertain as to whether the bargained price is set to her advantage; indeed, she might, or might not, obtain a better price in the new auction. To overcome these difficulties, we propose a new change‐order‐handling mechanism by which the buyer has an option to change the contractual supplier after bargaining ends with a bargained price. We call this the option mechanism. By this mechanism, the privilege of selling products or services is transferred to a new supplier if the buyer exercises the option. To exercise the option, the buyer pays a prespecified cash payment, which we call the switch price, to the original supplier. If the option is not exercised, the bargained price remains in effect. When a switch price is proposed by the buyer, the supplier decides whether or not to accept it. If the supplier accepts it, the buyer opens an auction. The option is exercised when there is a winner in the auction. This article shows how, under the option mechanism, the optimal switch price and the optimal reserve price are determined. Compared to the sequential BA, both the buyer and the supplier benefit. Additionally, the option mechanism coordinates the supply chain consisting of the two parties. © 2015 Wiley Periodicals, Inc. Naval Research Logistics 62: 248–265, 2015     

球面高斯投影及其变形的闭合公式

将地球视为球体时,高斯投影与横墨卡托投影是同一种投影,因此高斯投影公式可表示为形式紧凑的闭合形式。根据相关定义,以高斯投影的闭合公式为基础,通过一系列数学变换,推导出高斯投影反解公式、经纬线投影方程、投影的长度比及子午线收敛角公式的严格解析式,并借助算例验证了推导结果的可靠性与正确性。与以往根据高斯投影的幂级数公式推得的结果进行了对比分析,结果表明:所推导出的公式逻辑上更严密、形式上更紧凑,既丰富了高斯投影理论,又完善了地图投影数学基础。     

全CFRP筋混凝土柱低周反复荷载试验研究

考虑轴压比、剪跨比和配箍形式的影响,对6根全CFRP筋混凝土柱进行低周反复荷载试验,通过分析滞回曲线、骨架曲线、位移延性系数和耗能能力等特征,研究CFRP筋混凝土柱的抗震性能。试验结果表明:CFRP筋混凝土柱具有较强承载能力和变形能力;轴压比和剪跨比是影响试件抗震性能的主要因素,轴压比越小,试件的变形和耗能能力越强,刚度退化越平缓,剪跨比越大,试件的变形能力越强;通用屈服弯矩法计算得到的延性系数能够较好反映CFRP筋混凝土柱的延性,轴压比越小、剪跨比越大,试件的延性越好;新型螺旋式矩形箍筋在试件延性及耗能方面表现良好,可以应用于工程实际。     

滤波器阶数对导航接收机时域抗干扰的影响分析

滤波器阶数是影响卫星导航接收机时域自适应抗干扰性能和计算复杂度的核心参数。为了解决当前阶数选取严重依赖工程经验而影响分析不足的问题,分析了滤波器阶数对导航接收机时域自适应抗干扰性能的影响,可为导航接收机低复杂度时域抗干扰的研究提供理论支撑。该分析面向不同干扰环境,分别以滤波器幅频响应和信号载噪比为评估指标,并通过仿真实验和实测对传统最小均方算法和改进型最小均方算法进行验证,提出了一种基于数字滤波器设计的自适应最优滤波器阶数的设计方法。实验数据分析表明,通过适当提升滤波器长度,可以有效提升时域自适应滤波器的抗干扰性能;在实际应用中,可根据实际抗干扰需求,对滤波器阶数进行优化设计。