基于一类SVM的综合导航系统信息故障检测方法

为了提高舰艇综合导航系统的可靠性,并考虑到系统准确建模和大量故障数据获取的困难性,提出了一种基于一类支持向量机的信息故障检测方法。该方法主要包括两个过程:第一个过程是根据实测数据,并利用一类支持向量机的分类原理和主元分析法对导航信息进行离线建模;第二个过程是结合主元分析法将该模型应用到实时的信息故障检测中。该方法不依赖于系统模型而且只需要正常的小样本数据对模型进行训练,具有简便易于实现的优点。仿真试验表明,该方法对导航系统的硬故障和软故障都具有较好的检测能力和较短的检测延迟时间,而且该方法对径向基核函数参数的变化具有较低的敏感性,避免了复杂的调参过程。     

Nonlinear Dynamics of a Cantilever Beam Carrying an Attached Mass with 1:3:9 Internal Resonances

In this paper the nonlinear response of a base-excited slender beam carrying an attached mass is investigated with 1:3:9 internal resonances for principal and combinationparametric resonances. Here the method of normal forms is used to reduce the second order nonlinear temporal differential equation of motion of the system to a set offirst order nonlinear differential equations which are used to find the fixed-point, periodic, quasi-periodic and chaotic responses of the system.Stability and bifurcation analysis of the responses are carried out and bifurcation sets are plotted. Many chaotic phenomena are reported in this paper.     

A Technique for Identification of The Principal Central Axis of Inertia in an Inhomogeneous Rigid Body

A technique is proposed to identify the principal central axis of inertia in a joint-suspended inhomogeneous rigid body from its vertical revolution. The problem is reduced to synchronizing the revolution of the body with the revolution of a fictitious mathematical pendulum     

渐进多焦点镜片的逐点定向曲率补偿优化设计

提出一种利用逐点定向曲率补偿法对渐进多焦点镜片初始模型进行整体优化以减小周边散光区（俗称盲区）的优化设计方法。推导出自由曲面任意方向法曲率的计算公式、确定主曲率和主方向的方法,求出镜片初始模型上各点的曲率差和最大曲率方向、最小曲率方向,通过迭加由不同曲率、不同轴向微小柱面构成的自由曲面,来实现逐点定向曲率补偿,使镜片各点的曲率差适当减小,从而减小散光。给出具体优化步骤和一个优化设计实例,并进行实际加工制作与检测。对比优化前后的光焦度和散光度的面形分布图。结果表明,逐点定向曲率补偿法能有效减小渐进多焦点镜片初始模型的最大散光并明显扩大视远区清晰视觉范围。     

定第二主点变焦光学系统

根据透镜组基点性质和透镜组可变焦原理 ,设计定第二主点变焦光学系统。该系统用于视力矫正 ,在变焦过程中 ,“眼镜片光心”相对于眼睛的位置保持不变 ,是一种新型的光学变焦系统。用它可对近视、远视、散光等非正视眼进行快捷、准确的验光。     

Toward computationally efficient combustion DNS with complex fuels via principal component transport

We investigate the potential of accelerating chemistry integration during the direct numerical simulation (DNS) of complex fuels based on the transport equations of representative scalars that span the desired composition space using principal component analysis (PCA). The transport of principal components (PCs) can reduce the number of transported scalars and improve the spatial and temporal resolution requirements. The strategy is demonstrated using DNS of a premixed methane–air flame in a 2D vortical flow and is extended to the 3D geometry to demonstrate the resulting enhancement in the computational efficiency of PC transport. The PCs are derived from a priori PCA of the same composition space using DNS. This analysis is used to construct and tabulate the PCs’ chemical source terms in terms of the PCs using artificial neural networks (ANN). Comparison of DNS based on a full thermo-chemical state and DNS based on PC transport with six PCs shows excellent agreement even for terms that are not included in the PCA reduction. The transported PCs reproduce some of the salient features of strongly curved and strongly strained flames. The results also show a significant reduction of two orders of magnitude in the computational cost of the simulations, which enables an extension of the solution approach to 3D DNS under similar computational requirements.     

介绍几种测定波片位相差的方法

本文提出测量彼片位相差的几种方法，并从原理上作了相应的说明．     

Fluctuating hydrodynamics and principal oscillation pattern analysis

Principal oscillation pattern (POP) analysis was recently introduced into climatology to analyze multivariate time series x_i(t) produced by systems whose dynamics are described by a linear Markov process x=Bx + . The matrixB gives the deterministic feedback and is a white noise vector with covariances (t) _j (t*Q _ij (t–t. The POP method is applied to data from a direct simulation Monte Carlo program. The system is a dilute gas with 50,000 particles in a Rayleigh-Bénard configuration. The POP analysis correctly reproduces the linearized Navier-Stokes equations (in the matrixB) and the stochastic fluxes (in the matrixQ) as given by Landau-Lifschitz fluctuating hydrodynamics. Using this method, we find the Landau-Lifschitz theory to be valid both in equilibrium and near the critical point of Rayleigh-Bénard convection.     

主特征值估计的新故事

本文介绍主特征值估计的两种通用方法,着重于两个侧面：来自黎曼几何的第一种方法如何应用于概率论;来自概率论的第二种方法如何应用于黎曼几何。此外,还将概述若干基本结果。     

关于边界元方法中柯西主值积分的探讨

本文对边界元方法中的各类积分根据其奇异性作分类，并对主值积分的收敛条件、变量替换等进行了讨论，又给出了变替换附加项显式。文中提供的主值积分配项消奇术在边界元方法中是有普遍意义的。