固体火箭发动机粘弹性药柱结构可靠性分析

基于Monte-Carlo粘弹性随机有限元法,分析了药柱结构的可靠度。针对直接Monte Carlo法效率较低的问题,在确定粘弹性有限元的基础上,采用拉丁超立方体抽样(LHS)技术进行随机抽样,以提高计算的收敛速度。考虑泊松比和松弛模量的随机性,结合药柱的破坏判据,研究了工作内压作用下固体火箭发动机药柱结构的可靠度及其变化趋势。算例结果表明,该方法精度高、通用性强,适合于工程应用。     

基于仿真的衍生证券定价研究

衍生证券定价是金融工程研究的重要问题,传统的基于解析求解的定价方法面临很大的困难。本文从衍生证券的特点出发,研究了基于仿真的衍生证券定价原理、方法以及仿真在各种期权定价方面的具体应用,指出了蒙特卡罗仿真在期权定价方面存在的不足,并介绍了基于仿真的衍生证券定价技术的最新发展,希望能对今后的研究有所帮助。     

Minimum of PDOP and its applications in inter-satellite links (ISL) establishment of Walker-δ constellation

Within the next decade, there will be a number of GNSS (Global Navigation Satellite System) available, i.e. modernized GPS, Galileo, restored GLONASS, BeiDou and many other regional GNSS augmentation systems. Thus, measurement redundancies and geometry of the satellites can be improved. GDOP (Geometric Dilution of Precision) and PDOP (Position Dilution of Precision) are associated with the constellation geometry of satellites, and they are the geometrically determined factors that describe the effect of geometry on the relationship between measurement error and position error. GDOP and PDOP are often used as standards for selecting good satellites to meet the desired positioning precision. In this paper, the related conclusions of minimum of GDOP which was discussed are given, and it is used to study the minimum of PDOP for two cases that the receiver is on the earth’s surface and the receiver is on satellite. The corresponding theorem and constructive solutions of minimum of PDOP are given. Then, the rationality of the ISL (inter-satellite link) establishment criteria in Walker-δ constellation is discussed by using the theory of minimum of PDOP. Finally, the minimum of PDOP is calculated when the number of satellites is 4–10, and these results are verified by using Monte Carlo method.     

基于蒙特卡罗模拟的飞机结构可靠度分析

飞机可靠度的分析要综合考虑各种因素的影响,由于各因素的影响较为复杂,很难通过解析的方法来计算飞机的可靠度.随着计算机速度的不断提升,通过蒙特卡罗模拟计算飞机结构的可靠性逐渐变得可行.本文基于蒙特卡罗法,将损伤、工作环境、检修周期等作为核心要素,提出了面向工程应用的飞机结构可靠度分析方法,最终得到了飞机全机结构失效概率的计算方法.本方法在计算机上得到了初步实现.     

红外灯阵热流分布仿真优化研究

利用蒙特卡洛法计算了红外单灯热流分布,并据此建立了数据库,综合考虑红外灯直射热流、挡板反射率以及间隙漏光量等影响因素,得到红外灯阵热流分布.将红外灯空间坐标作为待优化参数,利用遗传算法对灯阵热流分布进行优化计算.文章对某型卫星真空热试验用红外灯阵进行了优化计算,根据优化结果对实际灯阵进行安装并测试热流均匀性,得到的实际...     

Mars entry trajectory optimization using DOC and DCNLP

This paper addresses the issue of Mars atmospheric entry trajectory optimization by use of the desensitized optimal control (DOC) and Direct Collocation and Nonlinear Programming (DCNLP). Firstly, desensitized optimal control methodology is adopted to reduce the sensitivity of terminal state variables with respect to uncertainties and perturbations along the trajectory, in addition to optimizing the original performance index. Then, Direct Collocation (DC) method is used to transform the optimal control problem into Nonlinear Programming (NLP) problem which can be easily solved using the SNOPT software package. Monte Carlo simulations of error analysis show that the sensitivity of terminal state variables with respect to uncertainties and perturbations is significantly reduced, leading to improved entry precision.     

Active disturbance rejection control for drag tracking in mars entry guidance

Future Mars missions will require precision landing capability, which motivates the need for entry closed-loop guidance schemes. A new tracking law – active disturbance rejection control (ADRC) – is presented in this paper. The ability of the ADRC tracking law to handle the atmospheric models and the vehicle’s aerodynamic errors is investigated. Monte Carlo simulations with dispersions in entry state variables, drag and lift coefficients, and atmospheric density show effectiveness of the proposed algorithm.     

Rayleigh问题的Monte Carlo直接模拟

利用流场直接模拟的Ｍｏｎｔｅ Ｃａｒｌｏ方法数值模拟了Ｒａｙｌｅｉｇｈ问题的流场，获得了相应的结果，结果与解析解及经验解吻合较好，ＤＳＭＣ方法避免了求解复杂的控制方程，在流动比较复杂的情形下，有很大的优越性，是研究稀薄气体流动的一种好方法。     

带机械臂的月面巡视探测器的路径规划方法研究

针对巡视探测器路径规划和机械臂路径规划的不同和两者需要依次执行的连接需求,文章将月面巡视探测器的路径规划过程分为三个阶段：巡视探测器的路径规划、机械臂的路径规划、器臂动态联合的路径规划,针对不同的规划分别提出了不同的规划方法,并进行了仿真验证。研究结果表明,巡视探测器的整个路径规划是一个复杂的运算规划过程,在非结构化月面环境下,基于月面三维数字高程图采用改进的启发式搜索（A＊）算法,可以比较高效地完成巡视探测器的路径规划;在采用蒙特卡罗法建立机械臂可达工作空间的基础上,可以比较简单、准确地获取机械臂的规划路径;巡视探测器整个就位探测过程的实现需要两种规划的动态联合。     

基于故障树的蒙特卡罗仿真在可靠性评估中的应用

在某型飞机发动机可靠性评估过程中,通过对各子系统的可靠性分析,构建了系统的故障树模型,提出了基于蒙特卡罗算法的仿真运算。以发动机空中停车为例,通过故障树分析,建立了空中停车的失效模型,应用蒙特卡罗法对失效模型进行了仿真评估。结果表明,基于故障树分析的蒙特卡罗仿真方法,在可靠性评估中计算快捷,可以精确和客观地描述设备的重要度级别,为系统可靠性设计提供有力的支持。