基于功率谱包络能量和SVM的舰用发动机故障诊断

发动机是军舰上的重要部件之一,其稳定性对军舰的正常航行具有重要影响。以舰用发动机关键部件(主泵轴承)为具体研究对象,提出了基于功率谱包络能量和支持向量机相结合的故障诊断方法。首先获取了大量可表征舰用发动机主泵轴承健康状态的振动加速度信息,对其进行功率谱分析,获得其功率谱的包络能量;以获取的舰用发动机主泵轴承功率谱的包络能量构建特征向量,并设计基于SVM的舰用发动机主泵轴承故障诊断模型,对主泵轴承的故障进行诊断研究。研究结果表明,采用基于功率谱包络能量和SVM相结合的舰用发动机关键部件故障诊断方法,可以很好实现主泵轴承的故障诊断效能,为舰用发动机主泵轴承故障诊断的工程应用奠定了基础。     

模拟退火优化SVM参数的变压器故障诊断

利用群智能算法优化支持向量机(SVM)参数往往需要引入额外的变量,使变压器故障诊断问题更加复杂,对此提出一种自适应的模拟退火算法优化(ASA)支持向量机参数。通过设计自适应的冷却进度表,使得寻参的过程仅仅依赖于退火速率以及网格搜索粒度,保持了较少的参数设置。在相关数据集上的实验表明,与已提出的粒子群算法(PSO)、遗传算法(GA)相比,ASA算法具有更快的收敛速度以及较好的诊断精度。利用自适应的模拟退火算法能够较好的优化SVM参数并提高变压器故障诊断的精度。     

射影簇和向量丛的数字不变量对超二次曲面的刻画

设X是光滑的n维射影簇,E是X上的丰富向量丛,E的秩r＜n.如果E在X上的数字有效值为n/r,且X的皮卡数1,则X是超二次曲面Qn,E是线丛OQn(1)的直和.     

统计流形在切丛上提升的等积仿射结构

具有等积仿射结构的统计流形在贝叶斯统计理论中有着重要应用,主要讨论统计流形及其切丛上的等积仿射结构,得到了统计流形的无挠仿射联络和其在切丛上提升的仿射联络的等积仿射性是一致的.     

Geometry of Lagrangian First-order Classical Field Theories

We construct a lagrangian geometric formulation for first-order field theories using the canonical structures of first-order jet bundles, which are taken as the phase spaces of the systems in consideration. First of all, we construct all the geometric structures associated with a first-order jet bundle and, using them, we develop the lagrangian formalism, defining the canonical forms associated with a lagrangian density and the density of lagrangian energy, obtaining the Euler-Lagrange equations in two equivalent ways: as the result of a variational problem and developing the jet field formalism (which is a formulation more similar to the case of mechanical systems). A statement and proof of Noether's theorem is also given, using the latter formalism.     

六维近凯勒流形的Kodaira维数

本文主要研究了六维近凯勒流形的典范丛和Kodaira维数.证明了六维严格近凯勒流形的典范丛是拟全纯平凡的,从而其Kodaira维数为0.特别地,证明了三维复射影空间CP3具有Kodaira维数不为-∞的近复结构.对于齐性的六维严格近凯勒流形,具体构造了它们典范丛的整体生成元.证明了齐性近凯勒流形F3和CP3的Hodge...     

Structure formation in turbulence as an instability of effective quantum plasma

Structure formation in turbulence can be understood as an instability of “plasma” formed by fluctuations serving as effective particles. These “particles” are quantumlike in the sense that their wavelengths are non-negligible compared to the sizes of background coherent structures. The corresponding “kinetic equation” describes the Wigner matrix of the turbulent field, and the coherent structures serve as collective fields. This formalism is usually applied to manifestly quantumlike or scalar waves. Here, we show how to systematically extend it to more complex systems using compressible Navier–Stokes turbulence as an example. In this case, the fluctuation Hamiltonian is a five-dimensional matrix operator and diverse modulational modes are present. As an illustration, we calculate these modes for a sinusoidal shear flow and find two modulational instabilities. One of them is specific to supersonic flows, and the other one is a Kelvin–Helmholtz-type instability that is a generalization of the known zonostrophic instability. Our calculations are readily extendable to other types of turbulence, for example, magnetohydrodynamic turbulence in plasma.     

具有常余维数2k+2k-2不动点集的(Z2)k作用

设(Z2)k作用于光滑闭流形Mn,其不动点集具有常余维数r,Jn,kr是具有上述性质的未定向的n维上协边类[Mn]构成的集合.Jn,kr=∑n≥rJn,kr为未定向上协边环N*=∑n≥rNn的理想.通过构造上协边环N*的一组生成元决定了理想J2k 2k-2*,k.     

Dynamic modeling and simulation of deploying process for space solar power satellite receiver

To reveal some dynamic properties of the deploying process for the solar power satellite via an arbitrarily large phased array (SPS-ALPHA) solar receiver, the symplectic Runge-Kuttamethod is used to simulate the simplified model with the consideration of the Rayleigh damping effect. The system containing the Rayleigh damping can be separated and transformed into the equivalent nondamping system formally to insure the application condition of the symplectic Runge-Kutta method©First, the Lagrange equation with the Rayleigh damping governing the motion of the system is derived via the variational principle. Then, with some reasonable assumptions on the relations among the damping, mass, and stiffness matrices, the Rayleigh damping system is equivalently converted into the nondamping system formally, so that the symplectic Runge-Kutta method can be used to simulate the deploying process for the solar receiver. Finally, some numerical results of the symplectic Runge-Kutta method for the dynamic properties of the solar receiver are reported. The numerical results show that the proposed simplified model is valid for the deploying process for the SPS-ALPHA solar receiver, and the symplectic Runge-Kutta method can preserve the displacement constraints of the system well with excellent long-time numerical stability.     

紧黎曼面上一类线丛截面空间的基

对于亏格g≥1的紧Riemann曲面M,本文运用Riemann-Roch定理,证明了其上线丛Lλ(M)的某类截面空间非空集,并利用Theta函数和素形式构造出这类截面空间的一组基．