共查询到16条相似文献,搜索用时 187 毫秒
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针对燃烧室初步设计阶段输入参数存在混合不确定性的特点,提出一种概率盒框架下的全局灵敏度分析方法。简单介绍了航空发动机燃烧效率的一维计算方法;在随机和认知混合不确定性的概率盒表征基础上,使用Sobol指标的上下限表征概率盒中随机与认知混合不确定性对响应的贡献程度;最后基于双层嵌套蒙特卡洛/非嵌入式多项式混沌展开(Monte Carlo Simulation/Non-intrusive Polynomial Chaos Expansion,MCS/NIPCE)方法对概率盒灵敏度指标进行求解,筛选出重要变量和次要变量,实现模型的降维。通过某航空发动机燃烧效率的全局灵敏度分析对所提出的方法进行了验证。研究结果表明,Sobol指标的上下限可以显著表征概率盒灵敏度指标,在保证计算精度的前提下,双层MCS/NIPCE方法的计算效率要远远高于传统双层蒙特卡洛(Monte Carlo Simulation, MCS/MCS)方法,可获得考虑随机和认知混合不确定性情况下燃烧效率输入参数的重要性排序。 相似文献
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基于不确定性的凸模型描述,研究考虑变量相关情况下非概率可靠性指标及其参数灵敏度求解方法.从非概率可靠性指标的物理意义出发,建立了相关变量和相互独立变量情况下的非概率可靠性统一模型,在此基础上基于Monte-Carlo法,在变量的标准化扩展空间内通过全局抽样得到结构失效域内距离原点最近的设计点,然后通过迭代策略求解得到非概率可靠性指标的收敛解.在此基础上基于差分理论,提出了非概率可靠性参数灵敏度分析方法.数值算例验证了所提出方法的可行性和有效性. 相似文献
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基于失效概率的全局灵敏度分析可以度量各个基本随机变量的不确定性对失效概率的影响程度,对如何降低结构的失效概率具有指导意义。基于交叉熵方法和空间分割提出一种新全局可靠性灵敏度分析方法。该方法采用交叉熵法自适应的确定重要抽样密度函数,有效地回避了传统重要抽样中设计点位置和个数求解的困难。基于评估失效概率所使用的样本,利用空间分割方法计算各个输入随机变量的全局可靠性灵敏度指标,能够提高样本的利用率和计算效率。文中利用一个数值算例和两个工程算例验证了所提方法的计算效率和精度。 相似文献
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阮文斌 《民用飞机设计与研究》2019,(4):75-80
针对飞行载荷计算输入数据的随机不确定性会导致载荷计算结果波动的现象,采用Monte Carlo模拟方法和基于方差的全局灵敏度分析方法对民用飞机急剧俯仰机动随机平尾载荷进行不确定性及全局灵敏度分析。具体分析了飞机气动特性和重心的不确定性对迎角贡献平尾载荷、升降舵偏度贡献平尾载荷及平尾总载荷的影响,进一步通过全局灵敏度分析找出影响平尾载荷计算结果的主要因素。不确定性分析结果表明:气动特性和重心的不确定性导致迎角贡献平尾载荷的波动程度很大。灵敏度分析结果表明:1)升降舵偏度贡献平尾载荷只受升降舵效率的影响;2)迎角贡献平尾载荷主要受无尾飞机零迎角俯仰力矩系数和重心的影响;3)平尾总载荷受升降舵效率的影响最大,受无尾飞机零迎角俯仰力矩系数及重心的影响次之。此外也验证了方法的有效性,对提高飞行载荷的计算精度有一定的指导意义。 相似文献
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For structural systems with both epistemic and aleatory uncertainties, research on quantifying the contribution of the epistemic and aleatory uncertainties to the failure probability of the systems is conducted. Based on the method of separating epistemic and aleatory uncertainties in a variable, the core idea of the research is firstly to establish a novel deterministic transition model for auxiliary variables, distribution parameters, random variables, failure probability, then to propose the improved importance sampling(IS) to solve the transition model. Furthermore,the distribution parameters and auxiliary variables are sampled simultaneously and independently;therefore, the inefficient sampling procedure with an ‘‘inner-loop' for epistemic uncertainty and an‘‘outer-loop' for aleatory uncertainty in traditional methods is avoided. Since the proposed method combines the fast convergence of the proper estimates and searches failure samples in the interesting regions with high efficiency, the proposed method is more efficient than traditional methods for the variance-based failure probability sensitivity measures in the presence of epistemic and aleatory uncertainties. Two numerical examples and one engineering example are introduced for demonstrating the efficiency and precision of the proposed method for structural systems with both epistemic and aleatory uncertainties. 相似文献
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Aimed at evaluating the structural stability and flutter risk of the system, this paper manages to quantify epistemic uncertainty in flutter analysis using evidence theory, including both parametric uncertainty and method selection uncertainty, on the basis of information from limited experimental data of uncertain parameters. Two uncertain variables of the actuator coupling system with unknown probability distributions, that is bending and torsional stiffness, which are both described with multiple intervals and the basic belief assignment(BBA) extricated from the modal test of actuator coupling systems, are taken into account. Considering the difference in dealing with experimental data by different persons and the reliability of various information sources, a new combination rule of evidence––the generalized lower triangular matrices method is formed to acquire the combined BBA. Finally the parametric uncertainty and the epistemic uncertainty of flutter analysis method selection are considered in the same system to realize quantification. A typical rudder of missile is selected to examine the present method, and the dangerous range of velocity as well as relevant belief and plausibility functions is obtained. The results suggest that the present method is effective in obtaining the lower and upper bounds of flutter probability and assessing flutter risk of structures with limited experimental data of uncertain parameters and the belief of different methods. 相似文献
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Baopeng LIAO Bo SUN Yu LI Meichen YAN Yi REN Qiang FENG Dezhen YANG Kun ZHOU 《中国航空学报》2019,32(9):2188-2198
Many variables affect the sealing performance, and their distribution characteristics are difficult to obtain with probabilistic methods owing to the high cost involved. Numerous problems in engineering are similar due to the appearance of small-sample parameters. In this study, the sealing reliability of an aviation seal was defined as the research object, and an interval uncertainty method and multidimensional response surface were proposed to calculate the sealing reliability.Based on this, we first analyzed the failure mechanism of the aviation seal and established a leakage rate model. Then, based on the non-probabilistic interval model, an interval uncertainty method was proposed to construct the analytical model. With reference to the limit state equation from the structural reliability theory, the multidimensional response surface was used for fast calculation.Then, we chose the single-cylinder gas steering gear used in aircraft as the case study, its sealing reliability in working and non-working statuses were calculated, and the results were verified with the actual maintenance records. By analyzing the sensitivity of some variables, we can improve the sealing reliability of the aviation seal by improving the surface roughness only if the cost allows.Finally, we consider that the method proposed in this study realizes the application of smallsample uncertainty analysis in reliability analysis, and could provide a feasible way to solve the similar problems in engineering with multidimensional and small-sample parameters. 相似文献
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航空航天仿真系统中的不确定性通常是多源的、混合的,并且系统参数的维数众多。针对高维混合不确定性量化问题,提出一种结合概率盒全局灵敏度和活跃子空间的跨层降维方法。在随机和认知不确定的概率盒表征基础上,使用不确定性缩减法分析参数的全局灵敏度继而进行参数筛选;基于输出梯度协方差矩阵的特征分解,使用活跃子空间法对参数进行降维;构造出一种概率盒表征下的参数筛选和跨层降维方法。最后以NASA多学科不确定性量化挑战问题为例,通过概率盒全局灵敏度分析进行第1层次的参数筛选,原有的21维输入参数减为13维;随后采用活跃子空间进行第2层次的参数降维,维数进一步降至一维。研究结果表明,所提出的方法能够对混合不确定性参数进行灵敏度排序,还能够有效降低模型输入参数的维度,为高维系统混合不确定性量化和进一步的优化工作奠定了基础。 相似文献
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基于全局灵敏度分析的侧向气动导数不确定性对侧向飞行载荷的影响 总被引:1,自引:0,他引:1
考虑飞行载荷计算中使用的气动导数存在不确定性,利用基于方差的全局灵敏度分析(GSA)方法,结合偏航机动的动力学模型,分析了侧向气动导数不确定性对侧向飞行载荷的影响。以某型飞机为例,运用该方法得到侧向气动导数的全局灵敏度排序。结果表明:侧滑角、阻尼贡献的垂尾侧向载荷及垂尾侧向总载荷受全机侧力系数对侧滑角导数的影响最大,受航向静稳定导数及方向舵操纵效能的影响次之;方向舵偏度贡献的垂尾侧向载荷只受全机侧力系数对方向舵偏度导数的影响;无尾飞机侧向载荷主要受航向静稳定导数、方向舵操纵效能及无尾飞机侧力系数对侧滑角导数的影响;偏航阻尼导数基本不影响各侧向飞行载荷。同时也验证了方法的有效性,对提高飞行载荷的计算精度有一定的指导意义。 相似文献
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可靠性灵敏度分析的一种新方法 总被引:3,自引:0,他引:3
基于极限状态函数矩估计的失效概率计算,提出一种新的可靠性灵敏度分析方法。推导极限状态函数的矩对基本变量分布参数的偏导数,并进而利用失效概率与极限状态方程矩的关系,推导失效概率对基本变量分布参数的偏导数,从而得到可靠性灵敏度。与改进一次二阶矩可靠性灵敏度分析方法相比,所提方法不用求极限状态方程的设计点,因而不需用到极限状态函数对基本变量的梯度函数,适用于隐式极限状态方程的可靠性灵敏度分析,算例结果也充分显示所提方法的合理性和精度。 相似文献