BaTiO3的相温度曲线

根据BaTiO3的吉布斯自由能展开式，讨论了对称群Oh操作的所有不可约表示，考虑到不同不可约表示项的相互作用，并利用相稳定条件，推导出可能对称相的温度曲线。     

Capacity expansion and cost efficiency improvement in the warehouse problem

The warehouse problem with deterministic production cost, selling prices, and demand was introduced in the 1950s and there is a renewed interest recently due to its applications in energy storage and arbitrage. In this paper, we consider two extensions of the warehouse problem and develop efficient computational algorithms for finding their optimal solutions. First, we consider a model where the firm can invest in capacity expansion projects for the warehouse while simultaneously making production and sales decisions in each period. We show that this problem can be solved with a computational complexity that is linear in the product of the length of the planning horizon and the number of capacity expansion projects. We then consider a problem in which the firm can invest to improve production cost efficiency while simultaneously making production and sales decisions in each period. The resulting optimization problem is non‐convex with integer decision variables. We show that, under some mild conditions on the cost data, the problem can be solved in linear computational time. © 2016 Wiley Periodicals, Inc. Naval Research Logistics 63: 367–373, 2016     

应用函数Laurent展开定理化有理分式为部分分式

将函数Laurent展开定理及留数概念应用于有理分式是将有理分式化为部分分式的一种行之有效的方法。     

一种实用的计算热膨胀系数的递推方法

本文从热膨胀系数α、比热C_v 及体积弹性模量K 所满足的热力学关系出发,提出了一种简单实用的递推方法计算热膨胀系数,用此方法可以相当准确地计算固体热膨胀系数作为温度函数的整个曲线。文中以三种碱卤晶体为例计算了室温以下的热膨胀系数,与实验结果符合得非常好。     

大温差条件下碳纤维混凝土无约束变形试验

为了研究碳纤维、聚酯纤维对混凝土在自由条件下的约束作用,通过设计对碳纤维混凝土、聚酯纤维混凝土和素混凝土加热放热试验,比较掺入不同纤维体积分数的纤维混凝土在大温差条件下无约束自由变形的差异,并用温度线膨胀系数表达。对试验数据进行分析,得到体积分数为1%的碳纤维混凝土比素混凝土抗自由变形能力提高了38.8%,在本试验的各种体积分数中效果最好。结果表明碳纤维与混凝土,虽然热力学性能不同,但是二者结合之后碳纤维因其高弹性模量的特性,反而可以更好地抑制混凝土自由变形。试验效果也表明,随着施工工艺的完善,碳纤维体积分数可能会超过1%,碳纤维对混凝土性能的提升仍然有很大的帮助。     

反馈系统强镇定的区间算法

反馈系统强镇定不改变受控系统的传递零点 ,而受控系统的传递零点影响反馈系统跟踪参考信号和扰动抑制等能力 ;反馈系统可否强镇定还与两个受控系统是否可同时镇定有密切关系 .给出了判定和计算受控系统强镇定的一种新的算法———区间算法 .这种算法是一种大范围求解方法 ,能同时求出受控系统的全部零点 .     

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。     

Capacity expansion under a service‐level constraint for uncertain demand with lead times

For a service provider facing stochastic demand growth, expansion lead times and economies of scale complicate the expansion timing and sizing decisions. We formulate a model to minimize the infinite horizon expected discounted expansion cost under a service‐level constraint. The service level is defined as the proportion of demand over an expansion cycle that is satisfied by available capacity. For demand that follows a geometric Brownian motion process, we impose a stationary policy under which expansions are triggered by a fixed ratio of demand to the capacity position, i.e., the capacity that will be available when any current expansion project is completed, and each expansion increases capacity by the same proportion. The risk of capacity shortage during a cycle is estimated analytically using the value of an up‐and‐out partial barrier call option. A cutting plane procedure identifies the optimal values of the two expansion policy parameters simultaneously. Numerical instances illustrate that if demand grows slowly with low volatility and the expansion lead times are short, then it is optimal to delay the start of expansion beyond when demand exceeds the capacity position. Delays in initiating expansions are coupled with larger expansion sizes. © 2009 Wiley Periodicals, Inc. Naval Research Logistics, 2009