机构运动弹性动力学普遍方程的研究

本文首次采用等参有限单元,建立了一个为一般机构广泛适用的运动弹性动力学普遍方程。在不附加任何“运动学”假设的情况下,作为自然的结果,方程的质量阵是正定、协调的常数阵;方程中不存在两类时变的非对称系数项,即所谓的“陀螺阻尼”项和“离心动刚度”项。因此,该方程无论在形式上还是在生成及求解方面,都要较其它同类型方程简单。此外,基于一维等参梁单元,本文还具体导出了具有杆状构件的平面连杆机构的弹性动力学模型,并给出了一个铰链四杆机构的算例。     

12.7mm高射机枪模态试验与分析

本文利用实验模态分析技术和有限元法研究机枪—土壤系统的动态特性,通过模态试验获得机枪在硬质土壤支撑条件下的低阶模态信息,据此对机枪有限元模型的边界条件进行模拟,并从动力学角度分析影响射击精度的主要因素,为进一步研究机枪结构动力修改和质量评估提供依据,     

使用直接模拟法研究选择快中子屏蔽参数

使用蒙特卡罗直接模拟法模拟了300keV氘束流T（d,n）4He中子源发出的中子在球壳屏蔽体介质铁中的输运规律。分析了不同介质厚度的铁对中子的反射性质和吸收性质,这些解释和分析对快中子球壳屏蔽参数的选取具有重要价值。     

固体火箭发动机长期贮存热载荷的有限元分析方法

分析了固体火箭发动机药柱在长期贮存过程中,由于温度载荷谱的变化所引起的力学响应。基于粘弹性积分蠕变型本构关系,推导了能分析粘弹结构的热载荷的有限元模型,并用它分析了梁、厚壁圆筒与真实固体火箭发动机的热应力问题。     

有限宽板应力强度因子的一种近似解法

本文对文献[1]中提出的近似方法,在运用于不同问题之后.发现了该方法的局限性,并提出了改进的措施,取得了明显的效果.     

尾座式电动飞机复合材料机翼结构优化设计

以复杂地形地区物资快速投送平台设计为背景,开展尾座式电动飞机复合材料机翼设计研究。对机翼结构载荷进行分析,对机翼结构构件布置和铺层进行设计,形成复合材料机翼结构设计方案。建立复合材料机翼结构有限元模型,开展典型工况条件下的静力分析,得到机翼结构变形、应力和Tsai-Wu失效因子分布。采用分步优化策略,以机翼结构铺层厚度和铺层角度为设计变量,开展机翼结构质量优化计算,优化结果表明,优化后的机翼结构在满足强度和刚度要求下质量减轻约47.77%,可为尾座式电动飞机结构设计提供重要参考。     

参数化滤波器逼近问题的全局最优算法

基于Lipschitz下界估值和分枝定界技术,给出了一维参数化小波滤波器逼近问题的全局最优算法。由于充分利用了滤波器逼近问题的特点,本方法将原来的Lipschitz算法的线性收敛速率提高为二次收敛速率。     

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.