动力伞8自由度动力学建模与仿真

现有文献中的翼伞建模方法多数是针对不带动力情况下的翼伞建模,不能适应动力翼伞的飞行控制。为了实现动力伞的有效控制,首先要建立合理的动力学模型。假设翼伞承载物和软翼之间具有2个自由度,分别建立软翼和承载物体坐标系下的作用力和力矩的平衡方程,通过体坐标系转换和消除翼伞内部状态量,得到有利于实现翼伞控制的8自由度非线性状态方程。仿真表明模型的飞行曲线与飞行实验的结果相一致,验证了模型的有效性。     

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...     

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。     

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。     

扩展式机动目标可调白噪声模型

在目标跟踪过程中,每个量测周期所得到的雷达量测数据以极坐标形式表示。量测方程在极坐标中是线性的,但在笛卡儿坐标系中却是非线性的。此时,目标跟踪实际上是非线性的。随着现代航空、航天技术的发展,飞行器的机动性得到了更大的加强,这就使跟踪问题变得更加困难和复杂。针对非线性机动目标跟踪问题,提出了一种扩展式当前统计模型机动目标跟踪算法。该算法不需要假定目标的机动加速度模型,而是直接正确地估计出机动目标的当前状态,不存在任何估计滞后与修正问题。最后,给出了算法的仿真分析。