A new model for temporal–spatial stochastic analysis of vehicle–track coupled systems

The vehicle–track coupled system has a random nature in the time–space domain. This paper proposes a computational model to analyse the temporal–spatial stochastic vibrations of vehicle–track systems, where the vehicle–track system is divided into a vehicle subsystem, track subsystem, and interfacial subsystem between the wheel and rail. In this model, the time-varying randomicity of dynamical parameters of the vehicle system, correlation, and randomness of the track structural parameters in the time–space joint dimensions, and randomness of the track random irregularities are considered. A probability dimension-reduction method was used to randomly combine different random variables. Furthermore, the probability density evolution method was applied to solve the delivery problem of probabilities between excitation inputs and response outputs. The temporal–spatial stochastic vibrations of the vehicle–track system with different coefficients of variation were studied, in which we assumed that the dynamic parameters obeyed the normal distribution, and the stochastic simulation method of the track random irregularities is probed into. The calculated results from this model are consistent with the actual measured results and physical conceptions. Thus, the temporal–spatial stochastic evolutionary mechanism can be explored, and the limits of dynamic indices can be formulated by using this developed model.     

某型潜艇尾流自导鱼雷命中概率方法研究*

尾流自导鱼雷命中概率是考核鱼雷作战效能的重要指标之一,它同鱼雷自身性能和目标尾流特性有直接关系。论文在研究水面舰艇尾流特性的基础上,建立了直航目标和机动目标的尾流区域模型,分析了鱼雷的攻击态势和射击方法,提出了鱼雷捕获概率和追踪概率的计算方法。该方法对计算鱼雷武器系统命中概率有一定的指导作用。     

带延迟的双险种复合Poisson风险模型

由于保险公司风险经营规模的不断扩大,考虑到单险种风险模型的局限性,研究了带延迟的双险种复合Poisson风险模型,给出了该模型破产概率的表达式及有限时间生存概率等重要指标.     

一类离散双险种风险模型的破产概率

研究了一类离散双险种风险模型,对此模型得到了最终破产概率的一般表达式,Lundberg不等式,及当险种Ⅱ的保费收取随机序列与两险种的个体索赔额均服从指数分布时的有限时间破产概率的上界估计.     

鱼雷攻击潜艇的毁伤效果评估模型研究

客观、准确地评价鱼雷攻击潜艇的毁伤效果是鱼雷与潜艇对抗的最后一环,也是评价鱼雷武器系统作战效能的重要指标。本文在现有毁伤概率计算方法的基础上引进了舱段的毁伤程度、要害指数、命中概率、毁伤效果累积系数和齐射毁伤系数等参数,建立了一种比较全面的用来评价鱼雷攻击潜艇毁伤效果的数学模型,并给出了典型应用。     

高地应力千枚岩隧道二次衬砌施作时机研究

二次衬砌施作时机一直是高地应力软岩隧道工程设计与施工过程中面临的关键技术难题之一。为此,依托在建成都-兰州铁路典型千枚岩隧道工程,基于隧道变形长期监测结果,分析高地应力软岩隧道变形时程特点,考虑软岩隧道荷载特点,确定了二次衬砌施作时机原则;考虑隧道测量丢失变形,提出软岩隧道第1稳定阶段变形量确定方法;通过现场实测变形数据统计回归,基于一定保证率确定不同大变形等级和不同断面下的软岩隧道二次衬砌施作时机,并进行现场试验验证。研究结果表明:适当刚度的初期支护可以实现高地应力软岩隧道前期变形稳定,但无法保持围岩长期稳定,二次衬砌应该在初期支护变形达到第1稳定阶段后施作,既可以减少二次衬砌荷载,又可以控制围岩变形;采用指数函数拟合软岩隧道变形具有较好的相关性,但参数差异性较大,同时在确定隧道第1稳定阶段变形量时应考虑测量丢失变形;轻微、中等大变形段拱顶下沉变形速率小于0.1~0.2mm·d^-1,边墙收敛速率小于0.5mm·d^-1,严重、极严重大变形段拱顶下沉变形速率小于0.4mm·d^-1,边墙收敛小于0.6mm·d^-1,即可进行二次衬砌施作;轻微大变形段、中等大变形段和严重大变形段分别在隧道开挖45~55 d,55~60 d和80~90 d后达到二次衬砌施作标准。     

基于贝叶斯概率估计的智能电动车动态目标避障算法

为了实现智能电动车在中汽中心智能网联示范基地内的动态避障,首先将直角坐标系与曲线坐标系进行转换,构建以参考路径的弧长s为横坐标,横向偏移距离q为纵坐标的曲线坐标系;其次,在曲线坐标系中利用三次多项式生成满足初始位姿与子目标点位姿的候选路径,同时对标准化常量的似然函数进行定义,在此基础上利用贝叶斯定理对每条候选路径的危险等级进行概率估计;在动态避障过程中,借鉴速度障碍法对碰撞威胁进行实时检测,并建立最短避障时间和安全距离的数学模型来实现高效的动态避障,最后对行人占用车道行走与横穿马路2种典型场景进行动态避障试验。研究结果表明：在曲线坐标系中,通过横向偏移距离能够便捷地建立起一系列候选路径,克服在直角坐标系中寻找移动子目标点这个难题;在寻找安全路径方面,由于智能电动车工作环境的不确定性,利用贝叶斯定理对候选路径危险等级进行概率计算的方法可靠性更高,速度障碍法与避障数学模型的结合满足碰撞危险检测的实时性和动态避障的高效性要求。试验结果表明：采用曲线坐标系中的动态避障算法对行人占用车道和横穿马路2种场景进行了有效的避障,在路径选择上符合实际驾驶习惯,达到了智能网联示范基地动态避障的要求。     

反潜直升机搜索常规潜艇概率分析与建模

常规潜艇在对水面舰艇进行攻击后其发射阵位点很可能会暴露,水面舰艇会利用舰载直升机对潜艇进行搜索和攻击.常规潜艇为了能在尽可能短的时间内脱离发射阵位点,其脱离速度在开始的一段时间内采用高速,并保持恒定.但由于常规潜艇受到电池能量的限制,在整个脱离过程中其速度不可能始终保持恒定高速,脱离速度会随着时间的延长而降低.反潜直升机从水面舰艇飞到潜艇发射阵位点需要一定的时间,从而产生时延.在这段时延内,潜艇会采用恒定高速脱离.因此,反潜直升机的时延对潜艇位置圆会产生影响,相应的探测概率也会变化.     

双层嵌套多目标概率模型在珠江三角洲港口工程环境分析中的应用

鉴于未来全球气候变暖、台风强度和频次有逐渐加剧的趋势,建港地区工程风险须得到重视。在分析了珠江三角洲所受台风灾害的基本类型后,采用双层嵌套多目标概率模式及复合极值分布模型（MCEVD）对珠三角的台风灾害及超强台风进行了预测,并将计算结果应用于港区最大风速、波高、排水等方面的设计。该模型能全面系统地反映台风致灾的整体机制,在港口工程环境分析中得到了较好的应用。     

Understanding members' carsharing (activity) persistency by using econometric model

Carsharing is an innovative travel alternative that has recently experienced considerable growth and become part of sustainable transportation initiatives. Although carsharing is becoming increasingly a popular alternative transportation mode in North America, it is still an under‐researched area. Current research is aimed at better understanding of the behavior of carsharing users. For every member, a two‐stage approach microsimulates the probability of being active in any month using a binary probit model and given that a particular member is active during a month, the probability of that member using the service multiple times using a random utility‐based model. The model is estimated using empirical data from one of the largest carsharing companies in North America. The model estimates reveal that the activity persistency of members is positively linked to previous behaviors for up to 4 months, and that the influence of previous months weakens over time. It also shows that some attributes of the traveler (gender, age, and language spoken at home) impact his or her behaviors. Copyright © 2010 John Wiley & Sons, Ltd.