基于区间不确定性的涡轮盘强度可靠性优化设计

针对涡轮盘在初期设计过程中可利用试验数据少的问题,采用区间模型描述不确定性,以非概率可靠性模型描述可靠性,提出了基于区间不确定性的涡轮盘强度可靠性优化设计方法.同时,为了提高该方法的计算效率,提出两级分阶段构造法,建立非概率可靠性指标关于设计变量的响应面函数,并以此响应面函数表征可靠性约束,从而将可靠性优化设计的双重优化过程转化为单重优化过程,简化了算法结构.典型涡轮盘强度可靠性优化设计算例结果表明,所提方法降低了对试验数据量的需求,且计算成本较低,计算效果较好,能够较好适用于涡轮盘的初期设计.     

复合材料层合板屈曲载荷计算的区间分析算法

提出了求解具有不确定性复合材料层合板屈曲载荷的一种处理方法———区间分析法。区间分析法是基于区间数学和泰勒展开的一种处理不确定性的方法。区间分析法不需要知道不确定变量的概率统计特性,只要较少的材料物理特性信息,即不确定变量的上界和下界,加上较简单的计算就可以得出结构响应的变化区间。在样本比较小,概率统计特性不明显,从而通常的概率统计方法不能有效应用时,区间分析仍然有效。文中针对四边简支的特殊正交层合板以及反对称角铺设层合板的屈曲载荷,用概率算法和区间算法分别进行了计算与比较。     

应力强度因子的区间分析方法

 传统上用来处理不确定性问题比较有效的方法是概率分析方法,本文应用区间分析方法对具有不确定参数的应力强度因子进行估计。该方法以区间数学为基础,将不确定参数描述为区间变量;再利用Taylor级数展开通过区间运算得到应力强度因子的区间范围,从而为工程设计提供可信的数据。区间分析方法优于传统的概率分析方法的是：它不需要预先知道关于不确定参数大量的统计数据信息,并且具有计算方法简便、实用和精度高的特点。最后,通过对两种裂纹情况的计算将区间分析方法和传统的概率分析方法进行比较,说明了该方法的有效性。     

一种包含模糊与区间的统一混合可靠性模型

采用不同的数学工具描述设计变量不确定性时形成了现有的三种结构可靠性分析方法,分别为概率方法、非概率方法以及混合方法。单一的概率可靠性模型发展已经比较成熟,单一的非概率可靠性模型也有不少学者研究。然而尚没有建立包含概率、模糊、非概率的统一混合可靠性模型。本文先把模糊变量隶属函数转化为具有概率密度函数性质的函数,并结合区间可靠性度量获得统一混合可靠性模型。分析结果表明本文提出的混合可靠性模型计算方法可以有效的处理设计变量的不同客观事实。     

基于区间分析方法的智能桁架结构振动特性分析

 针对智能结构复杂的不确定性的特点以区间数学理论为基础，并与有限元分析方法相结合，提出了求解具有复杂不确定性智能桁架结构动力特性分析的非概率区间方法和相应的有限元方法。针对智能桁架结构进行了数值分析，研究了各种不确定性参数对智能桁架结构振动特性的影响。数值结果表明，智能桁架结构对各种参数的不确定性均具有很好的鲁棒性。     

结构的概率-非概率混合可靠性模型

将影响结构可靠性分析的不确定性因素用概率和非概率两种方式模拟。并基于结构可靠性分析中的概率可靠性模型和非概率集合可靠性模型,提出一种新的结构可靠性分析的概率-非概率混合模型。该模型首先通过将功能函数进行非概率可靠性分析,然后将标准化区间变量空间所有区域的可靠度进行求和计算,从而给出结构的可靠度。并根据相同的不确定信息,由混合可靠性模型与概率可靠性模型得到的结果是相等的,证明了方法的有效性。最后,通过一个典型结构和一个机翼下壁加筋板与传统概率可靠性模型进行比较,表明该混合模型对于结构的分析和设计更为合理,能够更好地保证结构的安全性。     

基于区间灰数的分布式多目标航迹关联算法

研究了存在系统误差条件下分布式多目标航迹关联问题,以异地配置的2D组网雷达为背景,分析了时变系统误差对雷达上报航迹的影响,将误差影响下的目标定位看做一种认知不确定性,并给出两种用区间灰数描述这一不确定性的方法。由此提出了一种航迹关联算法,该算法以区间相离度作为衡量航迹间差异信息的测度,建立灰色关联分析模型,并根据灰关联度排序给出航迹关联对。通过对算法的约束条件进行深层次分析,给出了使用算法的先决条件。在常见系统误差环境下的蒙特卡罗仿真结果表明,算法具有良好的抗差性能和较广泛的适用性。     

改进集对分析的多属性决策方法在通信干扰目标威胁排序中的应用

针对属性值以区间数形式的模糊多属性决策问题,提出了基于集对分析理论的综合理想方案决策方法。该方法将集对分析理论的应用范围从精确实数域拓展到模糊区间数域,在承认不确定性因素的情况下,对各个方案与正理想方案和负理想方案所组成的区间型集对进行了分析,得出同异反联系数,以γ准则为依据实现了模糊多属性决策。通信干扰目标威胁排序的实例计算表明,该方法是处理模糊多属性决策问题的一种有效方法,同时为通信干扰目标威胁排序提供了一种新的方法。     

基于区间灰数的分布式多目标航迹关联算法

 研究了存在系统误差条件下分布式多目标航迹关联问题,以异地配置的2D组网雷达为背景,分析了时变系统误差对雷达上报航迹的影响,将误差影响下的目标定位看做一种认知不确定性,并给出两种用区间灰数描述这一不确定性的方法。由此提出了一种航迹关联算法,该算法以区间相离度作为衡量航迹间差异信息的测度,建立灰色关联分析模型,并根据灰关联度排序给出航迹关联对。通过对算法的约束条件进行深层次分析,给出了使用算法的先决条件。在常见系统误差环境下的蒙特卡罗仿真结果表明,算法具有良好的抗差性能和较广泛的适用性。     

基于实数编码量子进化算法和模态区间数学的航空发动机设计

本文将实数编码量子进化算法和模态区间数学相结合用于解决模态区间数学中的某些难以求解的问题。应用量子进化算法进行了模态区间数学方程组的求解和模态区间矩阵的求逆,将量子进化算法和模态区间数学用于航空发动机的设计,给出了基于模态区间数学的航空发动机总体性能设计方法。这种设计方法能够考虑设计的不确定性。并以某型涡喷发动机为例进行计算,设计结果更符合实际情况。     

α-l型区间可靠性分析方法及其工程应用

在区间非概率可靠性模型的基础上,以区间长度l和区间下限α为结构系统变量的输入参数,重新定义了一种新的可靠性指标,分析得到了这种可靠性分析方法的判定依据;在此基础上,在线性和非线性条件下讨论了结构可靠度的计算方法.以某型飞机防冰引气管结构为例,进一步探讨了所提方法在共振可靠性分析当中的工程应用.     

认知不确定性下可靠性灵敏度分析的新指标

传统的可靠性灵敏度指标只考虑了随机不确定性,当结构中还存在认知不确定性时,该指标难以反映出基本变量中认知不确定性对结构可靠性评估结果的影响程度.针对这一问题,引入概率包络来表达结构中的随机不确定性和认知不确定性,在此基础上建立了可靠性灵敏度分析的新指标——认知灵敏度系数,给出了其定义和代表的意义,并基于证据理论提出了认知灵敏度系数的计算方法.算例分析表明,认知灵敏度系数可以反映出基本变量中认知不确定性对结构可靠性评估结果的不确定性的影响程度,从而为有针对性地提高可靠性评估结果的准确性提供依据.另外,基于证据理论的认知灵敏度系数的计算方法适用于极限状态函数为单调、非单调的结构,以及变量服从正态、非正态的结构,具有普适性.     

Sealing reliability modeling of aviation seal based on interval uncertainty method and multidimensional response surface

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.     

机翼带外挂系统极限环颤振的区间分析

针对带有初偏间隙型非线性刚度的二元翼带外挂系统的极限环颤振,应用当量线化方法得出了颤振边界曲线,并根据颤振边界曲线用4阶Runge-Kutta法得到极限环相图,可明显看出极限环振动与普通周期振动的区别。然后引入了几个不确定量,通过区间分析方法给出了这些不确定量对机翼带外挂系统颤振边界曲线的影响,并用随机有限元法(FEM)验证区间分析方法的可靠性。进而可以得到一定来流速度下,具有不确定机翼外挂系统幅值的上下界,以及不确定参数对极限环相图的影响。知道机翼外挂幅值的上下界后,可以对外挂幅值进行适当控制。     

Fuzzy norm method for evaluating random vibration of airborne platform from limited PSD data

For random vibration of airborne platform, the accurate evaluation is a key indicator to ensure normal operation of airborne equipment in flight. However, only limited power spectral density（PSD） data can be obtained at the stage of flight test. Thus, those conventional evaluation methods cannot be employed when the distribution characteristics and priori information are unknown. In this paper, the fuzzy norm method（FNM） is proposed which combines the advantages of fuzzy theory and norm theory. The proposed method can deeply dig system information from limited data, which probability distribution is not taken into account. Firstly, the FNM is employed to evaluate variable interval and expanded uncertainty from limited PSD data, and the performance of FNM is demonstrated by confidence level, reliability and computing accuracy of expanded uncertainty. In addition, the optimal fuzzy parameters are discussed to meet the requirements of aviation standards and metrological practice. Finally, computer simulation is used to prove the adaptability of FNM. Compared with statistical methods, FNM has superiority for evaluating expanded uncertainty from limited data. The results show that the reliability of calculation and evaluation is superior to 95%.     

Uncertainty evaluation for bearing fatigue property of CFRP double-lap,single-bolt joints

The considerable uncertainty in mechanical properties of composite bolted joints not only prevents advanced composite materials from efficient applications, but also threatens the safety and reliability of the aircraft structures. In this paper, the uncertainty in bearing fatigue properties of a CFRP double-lap, single-bolt joint was evaluated by combing a Progressive Fatigue Damage Model(PFDM) with the interval analysis method. In the PFDM, a residualstrain-based gradual material degradation mo...     

Nonlinear interval analysis of rotor response with joints under uncertainties

The dynamic influence of joints in aero-engine rotor systems is investigated in this paper. Firstly, the tangential stiffness and loss factor are obtained from an isolated lap joint setup with dynamic excitation experiments. Also, the influence of the normal contact pressure and the excitation level are examined, which revel the uncertainty in joints. Then, the updated Thin Layer Elements (TLEs) method with fitted parameters based on the experiments is established to simulate the dynamic properties of joints on the interface. The response of the rotor subjected to unbalance excitation is calculated, and the results illustrate the effectiveness of the proposed method. Meanwhile, using the Chebyshev inclusion function and a direct iteration algorithm, a nonlinear interval analysis method is established to consider the uncertainty of parameters in joints. The accuracy is proved by comparison with results obtained using the Monte-Carlo method. Combined with the updated TLEs, the nonlinear Chebyshev method is successfully applied on a finite model of a rotor. The study shows that substantial attention should be paid to the dynamical design for the joint in rotor systems, the dynamic properties of joints under complex loading and the corresponding interval analysis method need to be intensively studied.     

A new structural reliability index based on uncertainty theory

The classical probabilistic reliability theory and fuzzy reliability theory cannot directly measure the uncertainty of structural reliability with uncertain variables,i.e.,subjective random and fuzzy variables.In order to simultaneously satisfy the duality of randomness and subadditivity of fuzziness in the reliability problem,a new quantification method for the reliability of structures is presented based on uncertainty theory,and an uncertainty-theory-based perspective of classical Cornell reliability index is explored.In this paper,by introducing the uncertainty theory,we adopt the uncertain measure to quantify the reliability of structures for the subjective probability or fuzzy variables,instead of probabilistic and possibilistic measures.We utilize uncertain variables to uniformly represent the subjective random and fuzzy parameters,based on which we derive solutions to analyze the uncertainty reliability of structures with uncertainty distributions.Moreover,we propose the Cornell uncertainty reliability index based on the uncertain expected value and variance.Experimental results on three numerical applications demonstrate the validity of the proposed method.