超音速气流中热塑性复合材料壁板的非线性热颤振特性

热塑性复合材料结构在高速流场中的颤振行为是可重复使用航天器设计中需要考虑的问题.基于Mindlin厚板理论和Von-Karman大变形理论描述热塑性复合壁板结构大变形,超音速气动力采用活塞气动理论.考虑温度引起的壁板面内热应力和热塑性材料力学性能的改变.根据虚功原理和有限元法推导建立了热塑性复合材料壁板的热颤振模型,进...     

重力扰动对SINS水平姿态的影响

为研究动基座下捷联惯导系统(Strapdown Inertial Navigation System, SINS)水平姿态误差角与水平重力扰动间的关系,推导了南北方向、东西方向匀速直线运动时,SINS纯惯性解算的水平姿态误差与水平重力扰动间的传递函数,并分析了传递函数的零极点分布;推导了组合导航模式下,水平姿态误差角与水平重力扰动间的传递函数;通过仿真分析了纯惯性解算和组合导航模式下传递函数的幅频特性。组合导航相对于纯惯性解算模式,截止频率更大,SINS姿态误差角受更多高频重力扰动信号的影响,因此,组合导航模式需要更高分辨率的重力扰动数据来进行重力扰动补偿。此外,在对高精度SINS进行重力扰动补偿时,对于重力扰动分辨率的需求是有限度的,过于精细的重力扰动数据只会带来测量和存储压力,不能提高SINS的姿态精度。     

态势生成中一种非线性运动模型的建立

探讨了在信息融合仿真试验床的态势生成部分,建立飞行实体运动模型的方法;通过保留运动学方程,简化动力学方程的方法,给出了一种常见的机动飞行方式(俯冲爬升类运动)的运动模型的计算公式;并对这种运动模型的非线性和机动性进行了分析和讨论;通过仿真,比较了几种机动目标跟踪算法对该运动模型的跟踪效果,验证了该方法的有效性。     

Approximating nondominated sets in continuous multiobjective optimization problems

Many important problems in Operations Research and Statistics require the computation of nondominated (or Pareto or efficient) sets. This task may be currently undertaken efficiently for discrete sets of alternatives or for continuous sets under special and fairly tight structural conditions. Under more general continuous settings, parametric characterisations of the nondominated set, for example through convex combinations of the objective functions or ε‐constrained problems, or discretizations‐based approaches, pose several problems. In this paper, the lack of a general approach to approximate the nondominated set in continuous multiobjective problems is addressed. Our simulation‐based procedure only requires to sample from the set of alternatives and check whether an alternative dominates another. Stopping rules, efficient sampling schemes, and procedures to check for dominance are proposed. A continuous approximation to the nondominated set is obtained by fitting a surface through the points of a discrete approximation, using a local (robust) regression method. Other actions like clustering and projecting points onto the frontier are required in nonconvex feasible regions and nonconnected Pareto sets. In a sense, our method may be seen as an evolutionary algorithm with a variable population size. © 2005 Wiley Periodicals, Inc. Naval Research Logistics, 2005.     

复杂非线性隔冲减振系统计算分析

基于结构动力学理论,提出了一种用于分析计算复杂非线性隔冲减振系统的双模型两步计算法。该方法将冲击振动分成2个阶段:冲击作用阶段和自由振动阶段。冲击作用阶段,采用两自由度模型进行响应计算,该两自由度模型可有效地解决基础冲击输入问题;自由振动阶段,采用单自由度模型进行响应计算,设备在该阶段以冲击终了时刻的速度和位移为初始条件进行振动。文中还对一个典型的复杂非线性系统的冲击过程进行了数值计算.该方法亦可用于线性隔冲减振系统的计算分析.     

Production/distribution system design with inventory considerations

This study addresses the design of a three‐stage production/distribution system where the first stage includes the set of established retailers and the second and third stages include the sets of potential distribution centers (DCs) and potential capacitated suppliers, respectively. In this problem, in addition to the fixed location/operating costs associated with locating DCs and suppliers, we consider the coordinated inventory replenishment decisions at the located DCs and retailers along with the appropriate inventory costs explicitly. In particular, we account for the replenishment and holding costs at the retailers and selected DCs, and the fixed plus distance‐based transportation costs between the selected plants and their assigned DCs, and between the selected DCs and their respective retailers, explicitly. The resulting formulation is a challenging mixed‐integer nonlinear programming model for which we propose efficient heuristic solution approaches. Our computational results demonstrate the performance of the heuristic approaches as well as the value of integrated decision‐making by verifying that significant cost savings are realizable when the inventory decisions and costs are incorporated in the production distribution system design. © 2012 Wiley Periodicals, Inc. Naval Research Logistics 59: 172–195, 2012     

制导炮弹非线性滑模控制器设计

为了提高制导炮弹的精确打击能力,研究了一种非线性滑模变结构控制器。利用近似最优控制理论确定了非线性滑模面,并设计了舵面的控制律,使得系统状态快速达到并保持在滑模面,采用指数趋近律和饱和函数减轻了滑模控制带来的抖振,实现对控制指令的跟踪。仿真表明,设计的非线性控制器能有效处理制导炮弹的非线性耦合问题,快速响应控制指令,并且在气动参数摄动时体现出较强的鲁棒性,具有良好的工程应用前景。     

提高多管火箭炮发射火力密度研究

为了提高某多管火箭炮火力密度,提出采用两管对称齐射的方法缩短发射时间,减少火箭弹初始扰动的方案。建立多管火箭炮多体动力学模型,根据发射顺序的基本编制原则和考虑火箭炮采用两枚弹同时发射的影响因素拟定射序,对整个发射过程进行仿真,得到火箭初始扰动计算的火箭炮动态特性数据。经与原单发发射时对比,有效提高发射火力密度,并且也有利于提高火箭射击密集度。     

A mathematical programming approach for improving the robustness of least sum of absolute deviations regression

This paper discusses a novel application of mathematical programming techniques to a regression problem. While least squares regression techniques have been used for a long time, it is known that their robustness properties are not desirable. Specifically, the estimators are known to be too sensitive to data contamination. In this paper we examine regressions based on Least‐sum of Absolute Deviations (LAD) and show that the robustness of the estimator can be improved significantly through a judicious choice of weights. The problem of finding optimum weights is formulated as a nonlinear mixed integer program, which is too difficult to solve exactly in general. We demonstrate that our problem is equivalent to a mathematical program with a single functional constraint resembling the knapsack problem and then solve it for a special case. We then generalize this solution to general regression designs. Furthermore, we provide an efficient algorithm to solve the general nonlinear, mixed integer programming problem when the number of predictors is small. We show the efficacy of the weighted LAD estimator using numerical examples. © 2006 Wiley Periodicals, Inc. Naval Research Logistics, 2006     

非线性超晶格中波的传播

通过二维实映射研究了非线性Kronig-Penney超晶格中波的传播。数值计算得到非线性系数不同、以及透射波幅不同时的映射图。结果表明,非线性系数对波传播有明显的调制作用,而透射波幅对非线性系数的有效性有明显的改变。