Global existence and asymptotic behavior for a multidimensional nonisentropic hydrodynamic semiconductor model with the heat source

In this paper, a multidimensional nonisentropic hydrodynamic model for semiconductors with the nonconstant lattice temperature is studied. The model is self-consistent in the sense that the electric field, which forms a forcing term in the momentum equation, is determined by the coupled Poisson equation. Global existence to the Cauchy problem for the multidimensional nonisentropic hydrodynamic semiconductor model with the small perturbed initial data is established, and the asymptotic behavior of these smooth solutions is investigated, namely, that the solutions converge to the general steady-state solution exponentially fast as t→+∞ is obtained. Moreover, the existence and uniqueness of the stationary solutions are investigated.     

On upper bounds for the growth rate in the extended Taylor-Goldstein problem of hydrodynamic stability

For the extended Taylor-Goldstein problem of hydrodynamic stability governing the stability of shear flows of an inviscid, incompressible but density stratified fluid in sea straits of arbitrary cross-section a new estimate for the growth rate of an arbitrary unstable normal mode is given for a class of basic flows. Furthermore the Howard’s conjecture, namely, the growth rate kc _i → 0 as the wave number k → ∞ is proved for two classes of basic flows.     

Global solutions to nonisentropic hydrodynamic models for two-carrier plasmas

This paper is concerned with nonisentropic hydrodynamic models for two-carrier plasmas, which take the form of Euler equations for conservation laws of mass density, current density and energy density for two-carrier plasmas, coupled to Poisson’s equation for self-consistent electronic field. Due to the nonlinear coupling and cancellation between electrons and ions, the expected dissipation rates of densities for two carriers are no longer available in comparison with the one-carrier case, which leads to the lack of exponential stability near constant equilibrium in the whole space. In order to capture the weaker dissipation and obtain global solutions in spatially critical Besov spaces, calculus techniques which have been recently developed in Chemin–Lerner spaces, will be further applied.     

Asymptotic behavior of the solution to the two-dimensional stationary problem of flow past a body far from it

In the exterior domain Ω⊂ℝ² we consider the two-dimensional Navier-stokes system Δu-▽p=(u,▽)u, div u=0 whose solution possesses a finite Dirichlet integral and satisfies the condition lim_|x|→∞ u(x)=(1, 0). For this solution, we establish the estimate |u(x)−(1, 0)|≤c|x| ^−α, where α>1/4. This estimate implies an asymptotic expression for the solution indicating the presence of a track behind the body. Translated fromMatematicheskie Zametki, Vol. 65, No. 2, pp. 246–253, February, 1999.     

无解的模糊关系方程的最优近似解

对无解的模糊关系方程给出了最优近似解的定义,证明了最优近似解的存在性,给出了求最优近似解的算法     

船舶水下拖带缆-体系统的操纵运动分析

提出了船舶水下拖带缆-体系统的时域分析法,采用凝集参数法模拟了缆-体结构系统,缆为圆形截面、可伸长,忽略弯曲刚度．采用变步长4阶龙格——库塔法积分系统运动方程．计算了2个实例以实证程序的可靠性,程序可广泛用于系泊、拖曳、潜器脐带缆等具有组合成分的海洋缆体系统的初步设计阶段．     

圆管截面齐次广义屈服函数与结构极限承载力

为克服圆管截面广义屈服准则不满足比例加载条件,导致采用弹性模量调整法求解该类结构极限承载力时存在计算结果受荷载初值影响、计算精度受损等问题,利用回归分析和最小二乘法研究建立了圆管截面广义屈服函数的齐次多项式,通过误差分析确定了齐次化多项式的阶次;据此定义了圆管截面薄壁构件的单元承载比、承载比均匀度和基准承载比,为高承载比薄壁单元的判别及其弹性模量调整提供了动态判据,进而依据能量守恒准则建立了以单元承载比为基本参数的模量调整公式,结合下限原理提出了圆管截面薄壁结构极限承载力分析的弹性模量缩减法。研究表明,选取齐次化多项式的广义屈服函数能更加准确地考虑各项内力对结构极限承载力的综合影响,具有良好的计算精度和效率,可应用于复杂圆管截面薄壁结构的极限承载力分析中。     

有效预应力对大跨P.C.桥梁极限承载力的影响研究

采用三维实体退化虚拟层合单元理论探讨了有效预应力对大跨P.C.桥梁极限承载力的影响.针对不同的有效预应力水平,以一座典型的预应力混凝土连续刚构桥为例,采用三维精细化有限元模型,对其极限承载力进行了空间分析计算和讨论.分析表明,有效预应力对大跨P.C.桥梁极限承载力有较大影响,其中,纵向预应力筋有效预应力与竖向预应力筋有效预应力的比例是影响桥梁极限承载力的重要参数.大跨P.C.桥梁结构设计时应充分重视这一问题.     

由定子电流信号分析陀螺电机滚珠轴承故障诊断与分类（英文）

在陀螺电机中,轴承故障是最普遍的失效形式。针对陀螺电机球轴承中各组成部分出现故障难以区分,而更换整套轴承又造成巨大浪费的问题,提出了一种基于电流信号分析的陀螺电机轴承故障分类方法。该方法通过采集定子电流信号,并应用数学分析工具,提取出定子电流的特征信号。通过使用顺序递推法排除了冗余和无效特征,然后用最佳的特征信号建立特征空间。通过使用隐马尔科夫模型,对轴承的典型故障(外环故障、内环故障、球故障和保持架故障)进行了准确的分类。该方法的有效性在一台具有不同轴承故障的直流无刷陀螺电机上得到验证,实验结果显示分类的正确率达到97.1%。     

RV减速器主支撑角接触球轴承混合润滑分析

针对RV减速器角接触球轴承承受预紧力、轴向力和径向力等联合外载荷作用的工况,分析得出了内、外圈滚道接触界面的接触区几何参数和接触载荷.在此基础上,综合考虑了角接触球轴承的接触区宏观几何、接触载荷、真实表面粗糙度、瞬态效应等因素,建立了角接触球轴承混合润滑数学模型,分析了在不同工况下角接触轴承的润滑状况及表面以下应力分布.结果表明:随着载荷的不断增加,钢球与内圈沟道之间的油膜厚度会不断减少,导致干接触面积迅速扩大,接触点表面以下最大应力增大;转速的增加会使油膜变厚,干接触面积缩小.该结果对角接触球轴承的实际工程应用具有重要借鉴意义.