关于半鞅向量随机积分的两个结果

首先利用半鞅Girsanov定理与闭图像定理证明了:若{Xn}是带滤基的完备概率空间(Ω,F,F,P)中的一列半鞅,其中滤基F=(Ft)t≥0满足通常条件,且{Xn}在关于P的Emery拓扑空间中收敛于X,则当概率测度Q相似文献   

Analysis of some critical aspects in hot machining of Ti-5553 superalloy: Experimental and FE analysis

In this study, a newly developed titanium superalloy, i.e., the Ti-5553 alloy has used for hot machining. This material replaced Ti-grade-5 alloy in the application of aerospace, automobile, and biomedical sector. However, similar to Ti-grade-5 alloy, the Ti-5553 alloy has a low thermal conductivity which makes it difficult-to-cut material categories hence, high tool wear, cutting force and bad surface finish. Hot machining of Ti-5553 has been studied at different machining condition (room and hot) using Deform-2D finite element analysis. The result from the simulation test was compared with the experimental value and reduction of cutting and thrust forces was observed. The experiment was carried out with the same input parameters as simulation, and good coherence between them observed. Additionally, cutting zone temperature, effective stress, etc. for both room and elevated the temperature are also discussed.     

适用于北斗混合星座的相对定位随机模型建模策略

为提高模糊度解算成功率和基线解精度,提出适用于北斗的相对定位随机模型建模策略,即混合随机建模策略。采用最小二乘方差分量估计方法对北斗单差观测量方差进行估计。对处于不同高度的三轨道卫星观测量方差分别建模:对地球静止轨道卫星观测量方差采用载噪比模型建模,对倾斜地球同步轨道卫星和中地球轨道卫星观测量方差均采用仰角模型建模。根据不同模型实时组建观测量的随机模型。试验结果表明:相比于采用传统简化模型和单一的仰角或载噪比模型,混合随机模型能更加真实地反映不同卫星观测量的随机噪声特性,模糊度解算成功率和相对定位精度均有提高,总体性能最优,因而能更好地适用于北斗系统。     

高精度有限体积格式在三维曲线坐标系下的应用

为了构造在光滑区具有较高分辨率并且可以无振荡捕捉激波的高精度有限体积格式,同时降低格式在模板选择上遇到的困难,基于逐维重构方法,发展了结构网格下的高精度有限体积格式,并将这一格式推广到三维曲线坐标系下,从而可以适应相对复杂外形下的计算。为充分验证格式的有效性,选取一系列典型算例进行计算:在等熵涡输运和二维喷管流动中验证了格式的精度可以达到设计精度;在双马赫反射问题中格式也表现出良好的捕捉激波的能力。数值计算表明,上述格式在曲线网格上具有较高的数值精度和鲁棒的激波捕捉能力,适用于流体力学方程的计算。     

Application of Markov renewal theory and semi-Markov decision processes in maintenance modeling and optimization of multi-unit systems

In this paper, a condition-based maintenance model for a multi-unit production system is proposed and analyzed using Markov renewal theory. The units of the system are subject to gradual deterioration, and the gradual deterioration process of each unit is described by a three-state continuous time homogeneous Markov chain with two working states and a failure state. The production rate of the system is influenced by the deterioration process and the demand is constant. The states of the units are observable through regular inspections and the decision to perform maintenance depends on the number of units in each state. The objective is to obtain the steady-state characteristics and the formula for the long-run average cost for the controlled system. The optimal policy is obtained using a dynamic programming algorithm. The result is validated using a semi-Markov decision process formulation and the policy iteration algorithm. Moreover, an analytical expression is obtained for the calculation of the mean time to initiate maintenance using the first passage time theory.     

对称螺杆流量计转子热变形的综合分析

利用有限元理论对８０ｍｍ口径的对称螺杆流量计转子的热变形进行了综合分析．整个计算程序分为平衡和非平衡两套系统．通过计算转子的热变形,推导出热变形对转子泄漏和运转等方面的影响．最后得出对生产有指导意义的具体数值和具体方法．     

基于SPN有限等待差错服务的火力单元排队模型

给出了一般排队模型的SPN描述,分析了防空火力单元的实际作战过程,在已有的火力单元的模型基础上,提出了有限等待差错服务的排队模型,详细分析了排队模型的运行机制,包括顾客有限等待、优先级的排队等,最后运用SPN理论对应的联系谓词公式和随机开关对模型进行了强有力的描述。是构建防空战役层面大型排队网络模型的基础。     

材料随机梁的有限元分析

提出一种以柔度为基础的具有随机刚度弯曲梁的有限元公式。在计算过程中 ,用与刚度均值有关的内力近似表示未知内力值。通过蒙特卡罗模拟可示出刚度的一维可靠性密度函数和相关函数 ,可用来估算柔度的均值和协方差函数。最后根据新的公式计算出随机梁的均值和协方差。     

The NBUL class of life distribution and replacement policy comparisons

Let X and X_τ denote the lifetime and the residual life at age τ of a system, respectively. X is said to be a NBUL random variable if X_τ is smaller than X in Laplace order, i.e., X_τ ≤_L X. We obtain some characterizations for this class of life distribution by means of the lifetime of a series system and the residual life at random time. We also discuss preservation properties for this class of life distribution under shock models. Finally, under the assumption that the lifetimes have the NBUL property, we make stochastic comparisons between some basic replacement policies. © 2001 John Wiley & Sons, Inc. Naval Research Logistics 48: 578–591, 2001.     

迟滞非线性弹性元件动力特性数学模型

描述了迟滞非线性弹性元件动态特性数学模型的发展状况．详细介绍了理想干摩檫模型、双线性模型、Bouc模型和迹法模型．提出了评判数学模型优劣的标准．