三维均匀化理论预测多孔混凝土等效弹性模量

应用多尺度渐进展开的均匀化理论,推导三维均匀化理论的有限元解法,求解复合材料等效弹性系数。假设多孔混凝土由光滑均匀一致的球孔与水泥石基质组成,提出改进的随机投放方法,生成三维均匀化理论求解的随机单胞模型。以聚苯乙烯泡沫(EPS)混凝土为数值算例,生成6组不同体积分数的EPS混凝土随机单胞模型,通过三维均匀化理论的有限元法计算得到其等效弹性模量。计算结果表明:随机单胞模型能反映细观的非均质性,三维均匀化理论的有限元法计算得到的等效弹性模量变化趋势比较符合Miled的试验结果。     

Single batch machine scheduling with deliveries

We consider the problem of scheduling a set of n jobs on a single batch machine, where several jobs can be processed simultaneously. Each job j has a processing time p_j and a size s_j. All jobs are available for processing at time 0. The batch machine has a capacity D. Several jobs can be batched together and processed simultaneously, provided that the total size of the jobs in the batch does not exceed D. The processing time of a batch is the largest processing time among all jobs in the batch. There is a single vehicle available for delivery of the finished products to the customer, and the vehicle has capacity K. We assume that K = rD, where and r is an integer. The travel time of the vehicle is T; that is, T is the time from the manufacturer to the customer. Our goal is to find a schedule of the jobs and a delivery plan so that the service span is minimized, where the service span is the time that the last job is delivered to the customer. We show that if the jobs have identical sizes, then we can find a schedule and delivery plan in time such that the service span is minimum. If the jobs have identical processing times, then we can find a schedule and delivery plan in time such that the service span is asymptotically at most 11/9 times the optimal service span. When the jobs have arbitrary processing times and arbitrary sizes, then we can find a schedule and delivery plan in time such that the service span is asymptotically at most twice the optimal service span. We also derive upper bounds of the absolute worst‐case ratios in both cases. © 2015 Wiley Periodicals, Inc. Naval Research Logistics 62: 470–482, 2015     

新型PBL键外包钢-混凝土组合梁抗弯承载力简化计算

基于理论分析,建立了新型PBL键外包钢-混凝土组合梁抗弯承载力计算的基本假定和计算模型,推导出组合梁抗弯承载力的简化计算公式,并采用有限元分析软件ANSYS14.5对组合梁进行了非线性有限元分析.对比分析表明:新型PBL键外包钢混凝土组合梁抗弯承载力的试验值、简化计算值和模拟分析值吻合较好.     

Single machine just‐in‐time scheduling problems with two competing agents

In scheduling problems with two competing agents, each one of the agents has his own set of jobs to be processed and his own objective function, and both share a common processor. In the single‐machine problem studied in this article, the goal is to find a joint schedule that minimizes the total deviation of the job completion times of the first agent from a common due‐date, subject to an upper bound on the maximum deviation of job completion times of the second agent. The problem is shown to be NP‐hard even for a nonrestrictive due‐date, and a pseudopolynomial dynamic program is introduced and tested numerically. For the case of a restrictive due‐date (a sufficiently small due‐date that may restrict the number of early jobs), a faster pseudopolynomial dynamic program is presented. We also study the multiagent case, which is proved to be strongly NP‐hard. A simple heuristic for this case is introduced, which is tested numerically against a lower bound, obtained by extending the dynamic programming algorithm. © 2013 Wiley Periodicals, Inc. Naval Research Logistics 61: 1–16, 2014     

临近空间大型柔性充气囊体结构特性分析

以临近空间平流层飞艇柔性充气囊体为研究对象,根据充气结构设计理论对充气囊体结构的最小压差和应力进行计算,建立平流层飞艇充气囊体结构有限元模型。在模型验证的基础上,采用非线性有限元方法对平流层飞艇充气囊体结构特性进行仿真分析,得到了囊体结构在不同压差和吊舱载荷作用下应力和变形分布及变化规律,并分析了结构加强配置对囊体应力和变形的影响,为平流层飞艇结构设计提供技术支撑和参考依据。     

多旋翼无人机减振分析与实验

针对多旋翼无人机机身系统振动过大导致飞行状态不稳的问题,基于有限元仿真技术与实验方法,进行了减振分析。通过频率分析,确定系统振动过大的原因为固有频率与激励频率耦合导致的共振现象,且共振频点的模态振型包含一阶挥舞、一阶摆振和二阶摆振振型。提出了优化机身壳体截面形状的设计方案,在不增加额外质量的情况下,将一阶挥舞、一阶摆振和二阶摆振振型对应的频点分别提高37.23%、22.47%和18.43%,有效规避了机身共振现象。仿真实验证明,提出的有限元仿真与实验结合的减振分析思〖BHDWG8,WK10YQ,DK1*2,WK1*2D〗〖XCMWL.TIF;%129%129〗听语音 聊科研与作者互动 路及优化设计方法,可为旋翼无人机减振设计提供参考依据。     

基于Davenport风速谱的火箭及其发射平台风致响应分析

基于Davenport风速谱,采用M.Shinozuka法计算得到了三种不同基本风速下火箭芯级和助推器不同站点的风荷载时程样本,并调用MSC.Nastran软件对火箭及发射平台进行了瞬态响应分析,得到了停靠时不同基本风速下火箭及发射平台的位移响应。随着高度的增加,火箭芯级上各点的位移响应随之增加;不同基本风速下同一节点的最大位移之比约等于不同基本风速的平方之比。同时在脐带塔上设计了一个横拉减载结构,相同基本风速下的火箭位移响应明显减小,火箭及发射平台的抗风能力得到提高,对工程实际有较大的参考价值。     

Stochastic scheduling subject to machine breakdowns: The preemptive‐repeat model with discounted reward and other criteria

We consider the problem of scheduling a set of jobs on a single machine subject to random breakdowns. We focus on the preemptive‐repeat model, which addresses the situation where, if a machine breaks down during the processing of a job, the work done on the job prior to the breakdown is lost and the job will have to be started from the beginning again when the machine resumes its work. We allow that (i) the uptimes and downtimes of the machine follow general probability distributions, (ii) the breakdown process of the machine depends upon the job being processed, (iii) the processing times of the jobs are random variables following arbitrary distributions, and (iv) after a breakdown, the processing time of a job may either remain a same but unknown amount, or be resampled according to its probability distribution. We first derive the optimal policy for a class of problems under the criterion to maximize the expected discounted reward earned from completing all jobs. The result is then applied to further obtain the optimal policies for other due date‐related criteria. We also discuss a method to compute the moments and probability distributions of job completion times by using their Laplace transforms, which can convert a general stochastic scheduling problem to its deterministic equivalent. The weighted squared flowtime problem and the maintenance checkup and repair problem are analyzed as applications. © 2004 Wiley Periodicals, Inc. Naval Research Logistics, 2004     

一个二阶精度的大粒子有限体积方法

对二维Euler方程给出一个二阶精度的非结构网格有限体积方法,方法的主要思想是把Euler方程的一个时间步分两步计算:第一步只考虑压力加速效应,第二步再考虑输运效应,离散过程中采用一种具有最小二乘思想的线性重构函数以计算交界面的流通量,数值实验表明该方法是非常有效的。     

基于有限元法的脉冲负载下高弹联轴器轴向力计算方法

以应用于脉冲柴油机发电机组中的高弹联轴器为研究对象,利用CATIA建立高弹联轴器的三维模型导入到Hyper Mesh中进行有限元网格划分,再将其有限元模型导入ANSYS中进行仿真分析,模拟其橡胶块在脉冲负载作用下的动态性能,对高弹联轴器在柴油机输出扭矩和脉冲负载同时作用时产生的轴向力进行仿真计算。结果表明:高弹联轴器在该工况下产生的轴向力较大,并且橡胶块在受交变应力作用时产生多应力集中点。仿真结果与Rivlin经典理论计算结果有较好的一致性,可为消磁舰船动力装置、消磁电站发电机组等场合下的弹性联轴器的选型设计提供参考。