Marty正规定则的推广

为区域Ｄ上的亚纯函数族，族中每一个函数ｆ只有重级≥ｋ（ｋ∈Ｎ）的零点，是区域Ｄ上的正规族当且仅当，存在一个至少包含ｋ＋４个元素的集合ＥＣ∪｛∞｝，使得对Ｄ的任一紧子集Ｋ都存在常数Ｍ（Ｋ）（依赖于Ｋ），对一切都有特别地，对区域Ｄ上的全纯族，Ｅ只要包含３个有穷元素。定理推广并改进了Ｍａｒｔｙ正规定则以及李松鹰和谢晖春关于只有重级≥ｋ的零点的亚纯函数族的一个正规定则。     

关于Davidson—Lanczos方法的收敛率

本文对文[1]提出的求解大型对称矩阵A的极端(几个最大或最小)特征值及相应特征向量的Davidson—Lanczos方法,用Rayleigh—Ritz逼近理论,研究了该方法的收敛率。证明了由该方法产生的规范正交向量{v_i}_i~m=1是Krylov子空间K_m≡Span(v_1,Av_1,…,A~(m-1)v_1)的一组基。设A的k个最大特征值为又,λ_1>λ_2>…>λ_k,相应的近似特征值为λ_i~(m)(i=1,…,k),得到 这里γ_i(γ_i>1),W_i和W_i~(m)是常数。     

羊毛精纺织物服用性能优选的多属性模糊决策

本文应用多属性目标决策的方法,评判不同规格毛织面料的"满意度",客观地提供一个重要的优选辅助依据。     

Families of halo orbits in the elliptic restricted three-body problem for a solar sail with reflectivity control devices

Solar sail halo orbits designed in the Sun-Earth circular restricted three-body problem (CR3BP) provide inefficient reference orbits for station-keeping since the disturbance due to the eccentricity of the Earth’s orbit has to be compensated for. This paper presents a strategy to compute families of halo orbits around the collinear artificial equilibrium points in the Sun-Earth elliptic restricted three-body problem (ER3BP) for a solar sail with reflectivity control devices (RCDs). In this non-autonomous model, periodic halo orbits only exist when their periods are equal to integer multiples of one year. Here multi-revolution halo orbits with periods equal to integer multiples of one year are constructed in the CR3BP and then used as seeds to numerically continue the halo orbits in the ER3BP. The linear stability of the orbits is analyzed which shows that the in-plane motion is unstable while the out-of-plane motion is neutrally stable and a bifurcation is identified. Finally, station-keeping is performed which shows that a reference orbit designed in the ER3BP is significantly more efficient than that designed in the CR3BP, while the addition of RCDs improve station-keeping performance and robustness to uncertainty in the sail lightness number.     

A novel surrogate modeling strategy of the mechanical properties of 3D braided composites

In this paper, a surrogate-based modeling methodology is developed and presented to predict the elastic properties of three dimensional (3D) four-directional braided composites. Using this approach, the prediction process becomes feasible with only a limited number of training points. The surrogate models constructed using Finite Element (FE) method and Diffuse Approximation, reduce the computational time and cost for preparing experimental samples. In the FE model, multiscale method is applied to couple the computations of elastic properties at microscale and mesoscale. Subsequently, a parametric study is performed to analyze the effects of the three design parameters on the elastic properties. Satisfactory results are obtained via the surrogate-based modeling predictions, which are compared with the experimental measurements. Moreover, the predictions obtained from surrogate models concur well with the FE predictions. This study orients a new direction for predicting the mechanical properties based on surrogate models which can effectively reduce the sample preparation cost and computational efforts.     

An improved approach for rainfall estimation over Indian summer monsoon region using Kalpana-1 data

In this paper, an improved Kalpana-1 infrared (IR) based rainfall estimation algorithm, specific to Indian summer monsoon region is presented. This algorithm comprises of two parts: (i) development of Kalpana-1 IR based rainfall estimation algorithm with improvement for orographic warm rain underestimation generally suffered by IR based rainfall estimation methods and (ii) cooling index to take care of the growth and decay of clouds and thereby improving the precipitation estimation.     

Application of improved active disturbance rejection control algorithm in tilt quad rotor

The Tilt Quad Rotor (TQR) has complex dynamics characteristics, especially in conversion mode. It is difficult to build the dynamic model of the TQR and the environmental factors have a great influence on it. To solve the problem of control in conversion mode of TQR, this paper carries out the design of the controller based on improved Active Disturbance Rejection Control (ADRC). According to the characteristics of flight in conversion mode, Tracking Differentiator (TD) with explicit model is used to solve the problem of multiple integrals when the system is high-order system. Extended State Observer (ESO) with Radial Basis Function (RBF) neural network is used to estimate and compensate for internal and external uncertainties, and the adaptive sliding mode control in Nonlinear State Error Feedback (NLSEF) is used to improve the response speed of the controller and reduce the parameters which should be tuned. Through the flight control simulation of the TQR, the validity and rationality of the control system are verified.     

再论和谐社会的构建——基于功能冲突论视阈

作为对二战后美国社会矛盾激化、社会动荡的回应,在对社会学家关于社会冲突的种种观点反思与发展的基础上,科塞建立了功能冲突论。科塞的功能冲突论由冲突正功能的发挥条件、冲突正功能的具体内容、社会安全阀制度等内容组成。功能冲突论启示我们,在我国构建和谐社会的过程中,要正视、分析社会矛盾、社会冲突,构建社会安全阀制度,消除社会冲突产生的社会土壤。     

波音737NG飞机大气数据探头自动加温功能测试的替代方法研究

根据波音AMM手册要求,在更换波音737NG飞机上的大气数据系统传感器后,需通过试车测试其自动加温功能。本文研究了波音737NG飞机大气数据系统探头自动加温的工作原理,并提出避免试车的解决方案。     

基于幂函数模型的民机结构腐蚀扩展寿命评定方法研究

基于飞机结构腐蚀清除后测量获取的腐蚀深度,提出了飞机结构腐蚀扩展寿命的幂函数动态预测模型以及模型参数定义方法,确定了腐蚀条件下的飞机结构腐蚀扩展寿命评定指标,建立了基于运营状态下飞机结构腐蚀信息更新的民用飞机结构腐蚀扩展寿命评定方法。