非线性偏最小二乘回归法在均匀设计响应面法中的应用

 针对目前多维变量可靠度分析中广泛应用的均匀设计响应面法(RSM),指出了使用最小二乘(LS)法拟合拟线性回归模型时存在的局限性,并提出采用拟线性偏最小二乘(PLS)法来回归响应面系数。由于拟线性回归法限制了模型的形式,精度提高有限,结果也很不稳定,因此又提出用基于样条变换的偏最小二乘回归模型代替拟线性回归模型并用于结构失效概率的计算,既能处理最小二乘法无法解决的变量间多重相关性的问题,又能避开拟线性回归中预先对模型形式的假定。通过算例验证了基于样条变换的偏最小二乘法的适用性和有效性,尤其对于多维变量非线性程度较高的可靠度分析,与普通最小二乘法拟合的响应面相比,其模型更加精确,失效概率精度更高。     

递阶偏最小二乘回归在飞机研制费用预测中的应用

分析了飞机研制费用样本数据少、费用驱动因子众多的特点,考虑到递阶偏最小二乘回归(Hi-PLS)方法在变量规模巨大情形下进行回归建模的优势,应用递阶偏最小二乘回归方法对飞机研制费用进行预测。以战斗机机体研制费用预测为例进行研究,首先对战斗机机体研制费用驱动因子进行分组,然后应用递阶偏最小二乘回归方法对分组后的费用驱动因子进行回归建立机体研制费用预测模型。实例表明,在飞机研制费用预测方面,采用递阶偏最小二乘回归方法预测更能体现研制费用与飞机性能参数之间的关系。     

反舰导弹维修费用偏最小二乘估算方法

参数估算法能够将影响维修费用的各种客观因素综合考虑,通过建立回归模型,对反舰导弹维修费用进行科学地直接估算。偏最小二乘回归方法在处理样本容量小、自变量多、变量间存在严重多重共线性问题等方面具有得天独厚的优势。文章综合分析了影响反舰导弹维修费用的各种因素,建立了基于偏最小二乘法的费用估算模型,设计了精度评定方法。通过实例计算验证,该方法建立的模型拟合度好,变量累计解释能力强,估算误差在5%内。     

固定影响平行数据模型参数的偏最小二乘估计及应用

当平行数据的解释变量之间存在严重的多重共线性,或者样本点个数与解释变量个数相比较少时,用经典方法求解模型(如最小二乘法等)误差偏大,难以满足实际要求.针对这种情况提出了用偏最小二乘法思想求解固定影响平行数据模型,并且实例表明误差明显减少,可以满足建模和预报的要求.     

利用偏最小二乘回归方法估算CJ828大型客机起飞重量

由于现代民用客机起飞总重的影响因子较多,设计过程中可参考机型较单一,单参数的经典回归分析模型适用度逐渐降低,而偏最小二乘回归提供了一种多元回归建模方法,可以有效解决样本量少且自变量间存在多重相关性的问题.结果证明,偏最小二乘回归的估算结果更为合理.     

保序调整对线性回归影响的试验分析

采用数学试验方法模拟随机变量,考察满足序关系的变量关于自变量的线性回归,研究并对比在这种情况下直接应用最小二乘线性回归与先对观察到的因变量使用PAVA算法进行保序调整再应用最小二乘线性回归的优劣。结果表明实际应用中,首先进行PAVA算法作调整并不一定是好的,尤其当数据量比较大的时候,其并不能提高拟合效果反而增加工作量。当因变量满足序关系时,直接做最小二乘回归,无需对因变量使用PAVA算法作调整。     

多变量系统参数辨识的相关分析法

 <正> 近20年来,线性系统的辨识和参数估计的研究工作得到了迅速发展。系统辨识的方法主要有:最小二乘法、广义最小二乘法、推广最小二乘法、多级最小二乘法、辅助变量法、随机逼近法、极大似然法以及相关分析法等。在这些方法中,相关分析法是一种公认最有效的算法。1974年,Iserman、Saridis和Sinha等人通过若干数值算例证实     

顾客满意指数的结构方程模型与应用

分析了经典的顾客满意指数的结构关系模型的基本原理;结合企业顾客满意指数测评的实际案例,给出了结合偏最小二乘回归(PLS)方法的顾客满意指数测评的线性结构关系(LISREL)路径分析的实施途径。此外,还通过控制某些中间变量的作用,研究了原因变量对结果变量影响作用分解的一般模式。     

一种系统辨识的递阶算法及其在飞机颤振试飞中的应用

在研究协方差矩阵特性的基础上 ,给出一种最小二乘辨识系统的递阶算法。该算法与自回归模型参数辨识的Levinson方法相似 ,利用协方差矩阵的特性,由低阶模型参数递阶算出高一阶的参数,用阶次辨识方法确定模型阶次。避免了最小二乘系统辨识批处理方法中的高阶矩阵求逆及最小二乘系统辨识递推算法中的循环修正,提高了计算的效率。该辨识方法成功地应用于飞机颤振特性的辨识。     

最小二乘支持向量回归机在可靠性分析中的应用(英文)

经典的响应面方法作为回归方法来模拟可靠性设计中的状态变量和基本变量之间的函数关系,用以解决直接数值模拟方法计算量大的问题。这类算法已经成功解决了一些隐式功能函数的可靠性分析问题,但它依据的"经验风险最小"原则影响了它的使用范围。基于"结构风险最小化"的支持向量回归机方法具有良好的小样本学习性能和泛化能立,比传统的回归方法具有优越性。但支持向量回归机方法对大样本的可靠性问题在时间和空间上开销巨大。为了克服这一不足,本文将最小二乘支持向量回归机引入到可靠性分析中。算例结果表明:基于最小二乘支持向量回归机的可靠性方法计算得到结果精度较高,在计算耗时上远小于支持向量回归机的可靠性方法,因此在工程应用上具有一定价值。     

The effect of inlet conditions on the flow and heat transfer in multiple rotating cavity with axial throughflow

This paper discusses experimental results from two different build configurations of a heated multiple rotating cavity test rig.Measurements of heat transfer from the discs and tangential velocities are presented.The test rig is a 70% full scale version of a high pressure compressor stack of an axial gas turbine engine.Of particular interest are the internal cylindrical cavities formed by adjacent discs and the interaction of these with a central axial throughflow of cooling air.Tests were carried out for a range of non-dimensional parameters representative of high pressure compressor internal air system flows(Re up to 5×106 and Rez up to 2×105).Two different builds have been tested.The most significant difference between these two build configurations is the size of the annular gap between the(non-rotating) drive shaft and the bores of the discs.The heat transfer data were obtained from thermocouple measurements of surface temperature and a conduction solution method.The velocity measurements were made using a two component,LDA system.The heat transfer results from the discs show differences between the two builds.This is attributed to the wider annular gap allowing more of the throughflow to penetrate into the cavity.There are also significant differences between the radial distributions of tangential velocity in the two builds of the test rig.For the narrow annular gap,there is an increase of non-dimensional tangential velocity V/Ωr with radial location to solid body rotation V/Ωr=1.For the wider annular gap,the non-dimensional velocities show a decrease with radial location to solid body rotation.      

Research on Auto-detection for Remainder Particles of Aerospace Relay Based on Wavelet Analysis

Aerospace relay is one kind of electronic components which is used widely in national defense system and aerospace system. The existence of remainder particles induces the reliability declining, which has become a severe problem in the development of aerospace relay. Traditional particle impact noise detection (PIND) method for remainder detection is ineffective for small particles, due to its low precision and involvement of subjective factors. An auto-detection method for PIND output signals is proposed in this paper, which is based on direct wavelet de-noising (DWD), cross-correlation analysis (CCA) and homo-filtering (HF), the method enhances the affectiv-ity of PIND test about the small particles. In the end, some practical PIND output signals are analysed, and the validity of this new method is proved.     

Preparation of Highly Dispersed Antimony-doped Tin Oxide Nano-powder via Ion-exchange Hydrolysis of SnCl4 and SbCl3 and Azeotropic Drying

Antimony-doped tin hydroxide colloid precipitates have been synthesized by hydrolysis of SnCl4 and SbCl3 using: (1) an ion-exchange hydrolysis to remove chlorine ions, and (2) isoamyl acetate as an azeotropic solvent to obviate water. The obtained dried powder is of high dispersivity without any need for further grinding. The size and dispersivity of the final particles are investigated with the aid of TG-DTA, BET, XRD and TEM. After having calcined, the antimony-doped tin oxide nanopowder possesses a tetragonal rutile structure with high dispersivity, uniform particles and low hard agglomeration.     

Effects of Mo on the Microstructure and Hydrogen Sorption Properties of Ti-Mo Getters

The effects of Mo on the microstructure evolution, porosity and hydrogen sorption properties of Ti-Mo getters are investigated in this work. The results show that the addition of Mo prolongs the densification process of Ti-Mo getters and results in a significant amount of sintered pores. With the Mo content increasing, the porosity of getters firstly increases reaching the maximum value as it at- tains about 7.5wt.%, and then drops. At the room temperature, the hydrogen sorption property of getters increases progressively with the Mo content increasing, but the tendency is not very clear before its content lies below 2.5wt.%. When the Mo content achieves about 7.5wt.%, the hydrogen sorption property proves to be the best. The discussion is made about the above mentioned phenomena inclusive of hydrogen sorption properties of getters under different activation conditions (from 500-750 ℃).     

超声速燃烧数值模拟中的湍流与化学反应相互作用模型

高精度数值模拟有助于理解超声速湍流燃烧中湍流与化学反应的相互作用,可为发动机燃烧室等工程应用设计提供可靠的预测模型。除直接数值模拟外,目前在湍流燃烧应用中使用的大涡模拟和雷诺平均Navier-Stokes模拟均需要借助模型模化发生在湍流小尺度上的流动与化学反应过程对湍流大尺度运动的影响。现有的湍流与化学反应相互作用模型大致可分为:火焰面类模型和概率密度函数类模型,2类模型在不同的应用中各自具有优势和局限性。此外,现有模型大都基于低马赫数燃烧,而超声速燃烧中通常会伴随快速混合、局部熄火和再着火以及激波等复杂过程,这为发展其中的湍流与化学反应相互作用模型提出了更多的挑战。     

适于低轨卫星IP网络的单核共享树组播算法(英文)

为了解决低轨卫星IP网络中现有典型源组播算法的信道资源浪费问题,本文提出了一套单核共享树组播算法,即核心群合并共享树(CCST)和加权核心群合并共享树(w-CCST)算法。CCST 算法包括动态近似中心(DAC)选核方法和核心群合并组播路径构建方法。DAC方法专为周期、规律运动的低轨卫星网络提出,不需要复杂的星上计算。在核心群合并方法中,以核节点作为初始核心群,通过核心群和剩余组成员的最短路径方法逐步扩展直至整棵组播树构建完成,从而使得组播树的树代价最小,大大提高了网络的带宽利用率和组播传输效率。w-CCST 算法中所提出的加权因子可以调整树代价和端到端传播时延之间的折衷程度,因此,可以通过调整加权因子来适度增大树代价、降低端到端传播时延以支持某些端到端时延要求苛刻的实时组播业务。最后,与低轨卫星 IP 网络中典型算法进行了性能比较,仿真结果说明,CCST 算法的平均树代价比其它算法显著降低,w-CCST 算法的平均端到端传播时延小于 CCST 算法。     

Jet Vectoring Control Using a Novel Synthetic Jet Actuator

A primary air jet vectoring control system with a novel synthetic jet actuator (SJA) is presented and simulated numerically. The results show that, in comparison with an existing traditional synthetic jet actuator, which is able to perform the duty of either “push” or “pull”, one novel synthetic jet actuator can fulfill both “push” and “pull” functions to vector the primary jet by shifting a slide block inside it. Therefore, because the new actuator possesses greater efficiency, it has potentiality to replace the existing one in various appli- cations, such as thrust vectoring and the reduction of thermal signature. Moreover, as the novel actuator can fulfill those functions that the existing one can not, it may well be expected to popularize it into more flow control systems.     

Nonlinear Adaptive Slewing Motion Control of Spacecraft Truss Driven by Synchronous V-gimbaled CMG Precession

The slewing motion control of a truss arm driven by a V-gimbaled control-moment-gyro (CMG) is a nonlinear control problem. The V-gimbaled CMG consists of a pair of gyros that must precess synchronously. The moment of inertia of the system, the angular momentum of the gyros and the external disturbances are not exactly known. With the help of feedback linearization and recursive Lyapunov design method, an adaptive nonlinear controller is designed to deal with the unknown items. Performance of the proposed controller is verified by simulation.     

An SOR Implicit Time-accurate Scheme in Calculating Unsteady Flows

A new time-accurate marching scheme for unsteady flow calculations is proposed in the present work. This method is the combination of classical Successive Over-Relaxation (SOR) iteration method and Jacobian matrix diagonally dominant splitting method of LUSGS. One advantage of this algorithm is the second-order accuracy because of no factorization error. Another advantage is the low computational cost because the Jacobian matrices and fluxes are only calculated once in each physical time step. And, the SOR algorithm has better convergence property than Gauss-Seidel. To investigate its accuracy and convergency, several unsteady flow computa- tional tests are carried out by using the proposed SOR algorithm. Roe’s FDS scheme is used to discritize the inviscid flux terms. Un- steady computational results of SOR are compared with the experiment results and those of Gauss-Seidel. Results reveal that the numerical results agree well with the experimental data and the second-order accuracy can be obtained as the Gauss-Seidel for unsteady flow computations. The impact of SOR factor is investigated for unsteady computations by using different SOR factors in this algorithm to simulate each computational test. Different numbers of inner iterations are needed to converge to the same criterion for different SOR factors and optimal choice of SOR factor can improve the computational efficiency greatly.