【专栏】飞机结构静强度应变现场测试手段展望

目前飞机结构静强度应变现场主要的测试手段为使用电阻应变计测量系统,但电阻应变计测量系统存在抗电磁干扰差、引线过多以及一致性难以保证等问题,测试效果难以保证。近年来,光纤传感以及非接触光学测量手段的迅速发展,为飞机结构静强度应变现场测试提供了多种选择。本文通过分析以数字图像相关法技术为代表的新技术的特点,如通过进行非接触操作消除安装过程中所带来的分散性误差以及不确定性,在应对某些需要定性分析的飞机静强度试验场合时可以实时给出三维应变和位移场数据,使测量技术更加直观,以及可溯源性更好、更容易保证计量特性的稳定等,对未来飞机结构静强度应变现场测试手段进行了展望,以期为相关部门和机构提供参考。     

Energy‐efficient scheduling for sustainable manufacturing systems with renewable energy resources

Environmentally friendly energy resources open a new opportunity to tackle the problem of energy security and climate change arising from wide use of fossil fuels. This paper focuses on optimizing the allocation of the energy generated by the renewable energy system to minimize the total electricity cost for sustainable manufacturing systems under time‐of‐use tariff by clipping the peak demand. A rolling horizon approach is adopted to handle the uncertainty caused by the weather change. A nonlinear mathematical programming model is established for each decision epoch based on the predicted energy generation and the probability distribution of power demand in the manufacturing plant. The objective function of the model is shown to be convex, Lipchitz‐continuous, and subdifferentiable. A generalized benders decomposition method based on the primal‐dual subgradient descent algorithm is proposed to solve the model. A series of numerical experiments is conducted to show the effectiveness of the solution approach and the significant benefits of using the renewable energy resources.     

Optimal allocation of minimal repairs in parallel and series systems

In reliability engineering, the concept of minimal repair describes that the repair brings the failed unit (eg, system or component) to the situation which is same as it was just before the failure. With the help of the well‐known Gamma‐Poisson relationship, this paper investigates optimal allocation strategies of minimal repairs for parallel and series systems through implementing stochastic comparisons of various allocation policies in terms of the hazard rate, the reversed hazard rate, and the likelihood ratio orderings. Numerical examples are presented to illustrate these findings as well. These results not only strengthen and generalize some known ones in the seminal work of Shaked and Shanthikumar, but also solve the open problems proposed by Chahkandi et al.'s study and Arriaza et al.'s study.     

Single‐machine scheduling with deadlines to minimize the total weighted late work

We consider scheduling a set of jobs with deadlines to minimize the total weighted late work on a single machine, where the late work of a job is the amount of processing of the job that is scheduled after its due date and before its deadline. This is the first study on scheduling with the late work criterion under the deadline restriction. In this paper, we show that (i) the problem is unary NP‐hard even if all the jobs have a unit weight, (ii) the problem is binary NP‐hard and admits a pseudo‐polynomial‐time algorithm and a fully polynomial‐time approximation scheme if all the jobs have a common due date, and (iii) some special cases of the problem are polynomially solvable.     

Oligopolistic contracting: Channel coordination under competition

We study contracts between a single retailer and multiple suppliers of two substitutable products, where suppliers have fixed capacities and present the retailer cost contracts for their supplies. After observing the contracts, the retailer decides how much capacity to purchase from each supplier, to maximize profits from the purchased capacity from the suppliers plus his possessed inventory (endowment). This is modeled as a noncooperative, nonzero‐sum game, where suppliers, or principals, move simultaneously as leaders and the retailer, the common agent, is the sole follower. We are interested in the form of the contracts in equilibrium, their effect on the total supply chain profit, and how the profit is split between the suppliers and the retailer. Under mild assumptions, we characterize the set of all equilibrium contracts and discuss all‐unit and marginal‐unit quantity discounts as special cases. We also show that the supply chain is coordinated in equilibrium with a unique profit split between the retailer and the suppliers. Each supplier's profit is equal to the marginal contribution of her capacity to supply chain profits in equilibrium. The retailer's profit is equal to the total revenue collected from the market minus the payments to the suppliers and the associated sales costs.     

维修性增长趋势检验研究

对即时改进和延缓改进两种维修性增长规划方式进行了趋势检验研究.针对即时改进的维修性增长规划方式,提出了趋势检验的图示法和Laplace方法.针对延缓改进的维修性增长规划方式,根据修复率(第i阶段的修复率为μi)的顺序约束条件:∞>μm≥…≥μi≥…≥μ2≥μ1>0,探讨了指数分布和正态分布维修性增长趋势检验的区间估计法,并结合数值例说明了这些方法的可行性.     

C~4ISR系统仿真测试研究

针对一种C4ISR系统在测试时的特点,提出了模拟仿真测试的方案,建立了仿真装备与指挥系统的交互模型,设计了交互对象的自动匹配算法,并在实际系统的仿真测试中得到应用和验证。     

捷联惯组与炮管之间安装误差角的标定方法

为了保证捷联惯导系统能够正确给出炮管高低角和方位角,必须对捷联惯组和炮管之间的安装误差角进行标定.介绍了利用经纬仪进行安装误差角标定的原理和方法,还提出另外两种计算安装误差角方法,包括利用欧拉角微分方程进行近似积分方法和利用主惯导与子惯导间的传递对准方法.经对比上述三种方法是等效的,其共同特点是炮管必须作高低角运动,并且要求在运动前后横滚角变化很小.最后,通过调炮试验验证了标定方法的可行性.     

改进的Euler方法应用于非线性方程求根

本文通过引入动力系统,将改进的Euler方法应用于非线性方程求根问题,给出非线性方程求根的预估-再校正迭代格式,证明了该格式至少二阶收敛并可以调节参数达到超收敛。最后给出数值实验,数值结果验证了算法的有效性。     

发变电所传导干扰分析与抑制措施的研究

通过对发变电所由开关操作在二次系统和低压交流电源系统传导测量结果的分析,确定变电站低压交流电源中传导干扰的特征,利用安捷伦（Agilent）矢量网络分析仪,研究几种典型电源滤波器的插入损耗和特性阻抗等频率特性,应用夏弗纳（Schaffner）等系列抗扰度试验设备,研究电源滤波器对电快速瞬变脉冲群和衰减振荡波的滤波和抑制效果,给出了变电站电源滤波器的滤波特性要求。