三维体心立方晶体声子谱的解析解

考虑到第三近邻相互作用情况下,利用晶格动力学方法,确定晶格振动的动力学矩阵及其本征方程,求解三维体心立方晶体声子谱,给出了非简并情况下声子谱的能量及与其对应的极化向量的解析解。并在第一布里渊区的全空间讨论了声子谱的特性,指出了声子谱能量只在第一布里渊区的主要对称点线面上具有简并现象,并按其极化向量判断了纵向声子与横向声子的特性。     

残余V元素对1Crl8Ni9Ti钢板组织与性能的影响

通过试验详细论述了1Crl8Ni9Ti钢中不同残余V含量对材料固溶状态的组织及400℃、500℃长期时效后对组织、晶间腐蚀和室温、高温性能的影响。从而得出结论适量V的存在对1Crl8Ni9Ti钢板组织影响不大,对抗晶间腐蚀性能稍有提高,对室温、高温抗拉强度、屈服强度稍有提高,塑性稍有降低。     

一类Cohen-Grossberg型BAM脉冲神经网络周期解的存在性和全局指数稳定性

利用Lyapunov泛函、不等式方法及Poincaré映射,建立了一类具有混合时滞的Cohen-Grossberg型BAM脉冲神经网络周期解的存在性和全局指数稳定性的充分性判据。     

Effects of adiabaticity and non-adiabaticity of dust charge fluctuation on the propagation of the dust ion acoustic waves in inhomogeneous dusty plasma

A theoretical investigation has been made for adiabatic positive and negative dust charge fluctuations on the propagation of dust-ion acoustic waves (DIAWs) in a weakly inhomogeneous, collisionless, unmagnetized dusty plasmas consisting of cold positive ions, stationary positively and negatively charged dust particles and isothermal electrons. The reductive perturbation method is employed to reduce the basic set of fluid equations to the variable coefficients Korteweg–de Vries (KdV) equation. Either compressive or rarefactive solitons are shown to exist depending on the critical value of the ion density, which in turn, depends on the inhomogeneous distribution of the ion. The dissipative effects of non-adiabatic dust charge variation has been studied which cause generation of dust ion acoustic shock waves governed by KdV-Burger (KdVB) equation. The results of the present investigation may be applicable to some dusty plasma environments, such as dusty plasma existing in polar mesosphere region.     

钉载作用下层板多孔过盈配合分析

本文利用各向异性体平面弹性理论中的复势方法,以Faber级数为工具,导出层板多孔/弹性核过盈配合在钉载作用下的级数解。     

一种求解气动双曲方程的高精度差分格式DEM

本文建立了一种基于解本身及共导数所满足的微分方程之上的差分格式DEM(Double Equation Method)。这种差分格式不仅精度高,而且有效地消除了双曲方程高阶差分解中常出现的振荡现象。     

非光滑多目标规划的Fuzzy弱有效解的最优性条件及其对偶定理

本文研究具有Fuzzy约束的非光滑目标规划（FVP），讨论了（FVP）的Fuzzy弱有效解的几何型、Fritz John型和Kuhn Tncker型最优性条件，并尝试建立了（FVP）的Mond-Weir型对偶，得到了弱对偶、直接对偶及逆对偶定理。     

故障树分析法在飞机客舱电气设备的排故应用

从故障树分析法的原理出发,对飞机客舱电气设备的故障原因进行分析,力求总结出一套专门针对飞机客舱故障解决有效方法.     

Self-similar flow of a rotating dusty gas behind the shock wave with increasing energy, conduction and radiation heat flux

A self-similar solution is obtained for one dimensional adiabatic flow behind a cylindrical shock wave propagating in a rotating dusty gas in presence of heat conduction and radiation heat flux with increasing energy. The dusty gas is assumed to be a mixture of non-ideal (or perfect) gas and small solid particles, in which solid particles are continuously distributed. It is assumed that the equilibrium flow-condition is maintained and variable energy input is continuously supplied by the piston (or inner expanding surface). The heat conduction is expressed in terms of Fourier’s law and the radiation is considered to be of the diffusion type for an optically thick grey gas model. The thermal conductivity K and the absorption coefficient α_R are assumed to vary with temperature only. In order to obtain the similarity solutions the initial density of the ambient medium is assumed to be constant and the angular velocity of the ambient medium is assumed to be decreasing as the distance from the axis increases. The effects of the variation of the heat transfer parameters and non-idealness of the gas in the mixture are investigated. The effects of an increase in (i) the mass concentration of solid particles in the mixture and (ii) the ratio of the density of solid particles to the initial density of the gas on the flow variables are also investigated.