正则化方法在非线性分析中的应用

本文用正则化方法给出了麦夸脱方法的一个误差估计式.     

可控翼伞气动力及雀降操纵力仿真计算

本文建立了可控翼伞气动力计算的等效翼型—柔性模型以及雀降操纵力计算的双体铰接模型。用曲面涡格法对翼伞的气动力进行了计算,在此基础上,对翼伞的雀降操纵力也进行了计算。     

实际复摆的非线性振荡系统

本文建立了实际复摆振荡系统的非线性模型,并用一阶谐波平衡法导出各种特征状态函数,从而分析计算定常周期及其运动稳定性、稳定分支振荡的跳跃特性和最大振幅特性。本文利用可控力矩激振装置成功地实现了复摆的强迫振荡实验。实例表明不仅能准确地辩识实际复摆非线性模型的参数,而且实测到复摆的稳定分支振荡和跳跃现象,从而实验验证了实际复摆非线性振荡的理论分析。     

q∝△(T~(-1))传热时三热源热泵的最优性能普遍关系

本文导出工质与三个热源间的传热系数分别为。α、β和γ,传热规律为q~∝△(T~(-1))时,内可逆三热源热泵的最佳供热系数ψ与供热率Π间的关系:ψ<1时,Π=K_1ψ[T_p(T_H-T_ο)-T_H(T_p-Tο)ψ]/[T_HT_pT_ο(1-△_1ψ)~2];ψ>1时,Π=K_2ψ[T_p(T_H-T_ο)-T_H(T_P-T_ο)ψ]/[T_HT_pT_ο(△_2-ψ)~2];式中,K_1=αγ/(α~(1/2)+γ~(1/2))~2,K_2=βγ/(β~(1/2)+γ~(1/2))~2,△_1=(α/β)~(1/2)(β~(1/2)-r~(1/2)/(α~(1/2)+γ~(1/2)),△_2=(β/α)~(1/2)(α~(1/2)-γ~(1/2))/(β~(1/2)+γ~(1/2))。由此可得许多有用的关系。     

模型递推辨识算法及应用

研究了具有线性参数的非线性多项式模型的数据阵L－D分解性质,其中D是对角阵,L是带有单位元素的下三角阵．结果表明,通过因子L可以估计出模型的参数,通过因子D可以选择模型中的项;提出了同时进行模型的结构确定和参数估计的递推辨识算法．该算法可用于船舶运动的实时建模．实际应用结果表明,该算法可以有效地辨识多项式等线性参数的非线性模型．     

非线性系统的状态观测器设计

文中讨论了非线性状态观测器的一种新的构造方法,建立了非线性系统观测器的一种线性化设计过程,所得结果是线性系统观测器理论在非线性系统中的直接拓广。     

Influence of porosity distribution on nonlinear free vibration and transient responses of porous functionally graded skew plates

This article deals with the investigation of the effects of porosity distributions on nonlinear free vibration and transient analysis of porous functionally graded skew (PFGS) plates. The effective material properties of the PFGS plates are obtained from the modified power-law equations in which gradation varies through the thickness of the PFGS plate. A nonlinear finite element (FE) formulation for the overall PFGS plate is derived by adopting first-order shear deformation theory (FSDT) in conjunction with von Karman’s nonlinear strain displacement relations. The governing equations of the PFGS plate are derived using the principle of virtual work. The direct iterative method and Newmark’s integration technique are espoused to solve nonlinear mathematical relations. The influences of the porosity distributions and porosity parameter indices on the nonlinear frequency responses of the PFGS plate for different skew angles are studied in various parameters. The effects of volume fraction grading index and skew angle on the plate’s nonlinear dynamic responses for various porosity distributions are illustrated in detail.     

Recursive weighted least squares estimation algorithm based on minimum model error principle

Kalman filter is commonly used in data filtering and parameters estimation of nonlinear system,such as projectile's trajectory estimation and control.While there is a drawback that the prior error covariance matrix and filter parameters are difficult to be determined,which may result in filtering divergence.As to the problem that the accuracy of state estimation for nonlinear ballistic model strongly depends on its mathematical model,we improve the weighted least squares method(WLSM)with minimum model error principle.Invariant embedding method is adopted to solve the cost function including the model error.With the knowledge of measurement data and measurement error covariance matrix,we use gradient descent algorithm to determine the weighting matrix of model error.The uncertainty and linearization error of model are recursively estimated by the proposed method,thus achieving an online filtering estimation of the observations.Simulation results indicate that the proposed recursive esti-mation algorithm is insensitive to initial conditions and of good robustness.     

基于神经网络的非线性控制系统自组织辨识

本文首先将自组织神经网络算法向一般化情形引伸，接着把自组织过程应用到一般非线性系统的动态过程分类，使得整个非线性系统能够按照输入输出样本空间的概率密度自组织，成为许多具有不同分类核心和感受野的线性子空间逼近。在此基础上，我们采用通用最小二乘算法，以子空间的非线性问题线性化误差作为依据，并进一步运用自组织神经网络的合作与竞争思想，最终得到一般情形的非线性系统的最小二乘辨识。仿真结果表明了本方法的可行性与优越性。     

A Nonlinear Model of Military Expenditure Convergence: Evidence From Estar Nonlinear Unit Root Test

The paper builds a model to empirically test military expenditure convergence in a nonlinear set up. We assert that country A chooses a military strategy of catching up with the military expenditure of its rivals, subject to public spending constraints on public investments, including health and education, leading to decrease in long-term economic welfare. This implies nonlinear convergence path: only when the military expenditure gap between countries reaches the threshold level, will it provide incentives to catch up with rival’s military expenditures. We test this nonlinear catching up hypothesis for 37 countries spanning from 1988 to 2012. Results from individual nonlinear cross-sectionally augmented Dickey–Fuller (NCADF) regression indicate that 53% of countries converge to world’s average military expenditure: where 39% of countries converge to Germany; 33% of countries converge to China; 22% of countries converge to the USA, and 11% of countries converge to Russia. Interestingly, USA does not exhibit nonlinear military expenditure convergence toward world’s average level. For panel NCADF regression, the result suggests that on average, there is evidence for countries converging to USA’s military expenditure at 10% significance level. For the convergence to the world’s average, the statistical significance is at the 1% significance level.