一类分数阶q-差分方程边值问题正解的存在性

研究了一类分数阶q-差分方程多点边值问题,其中控制函数含有分数阶导数.首先通过变换将该问题转化为带有分数阶积分控制的边值问题,并分析了格林函数的一些性质;其次利用Arzela-Ascoli不动点定理及上下解方法,证明了该方程正解的存在性;最后通过实例验证了本文所得结论的正确性.     

Optimal Design of Two-Chamber Gas Distributor with CFD Approach

Computational fluid dynamics( CFD) is used to investigate a new type of two-chamber natural gas distributor,which has a natural gas inlet and nine nozzle outlets. The uniformity at the outlet of distributor is practice proven to have significant degree influence on its comprehensive performance. To improve the uniformity at the nozzles of the gas distributor,CFD modeling with the RNG k-ε turbulence model is undertaken to understand the mass flow rate of nozzles with reference to different length of chambers and the most optimal length is obtained. The internal flow pattern of the natural gas distributor is analyzed. It is found that the local maximum deviation of the nozzle outflow rate increases with the increase of chambers length when the length is more than 64 mm. The results provide useful suggestions for the optimal design of two-chamber natural gas distributor.     

结构参数对拉伐尔喷管空化特性影响的数值模拟

采用CFD方法模拟水在不同结构参数拉伐尔喷管中的空化流动情况。在一定的操作参数下,采用空化泡动力学模型模拟分析拉伐尔喷管不同入口直径、喉部直径、收缩段长度、扩张段长度、扩张段锥角等结构参数对空化效果的影响,并参照正交试验的方法研究各影响因素与水平之间的关系。结果表明：随着喷管喉部直径的减小,空化区域内的汽含率升高,空化数减小,空化效应增强;入口直径与收缩段长度的改变对喷管空化特性的影响不明显;在一定范围内增大扩张段锥角有利于空化强度的增加,但锥角过大反而抑制空化的进行;扩张段长度的增加可以影响空化产生的区域,但对空化强度影响较小;正交试验结果表明在几个结构参数之中,喉部直径的改变对喷管空化特性的影响最大。     

Stability analysis for natural slope by kinematical approach

The stability of natural slope was analyzed on the basis of limit analysis. The sliding model of a kind of natural slope was presented. A new kinematically admissible velocity field for the new sliding model was constructed. The stability factor formulation by the upper bound theorem leads to a classical nonlinear programming problem, when the external work rate and internal energy dissipation were solved, and the constraint condition of the programming problem was given. The upper bound optimization problem can be solved efficiently by applying a nonlinear SQP algorithm, and stability factor was obtained, which agrees well with previous achievements.     

Upper bound limit analysis of roof collapse in shallow tunnels with arbitrary cross sections under condition of seepage force

The analytical solutions for predicting the exact shape of collapse mechanisms in shallow tunnels with arbitrary excavation profiles were obtained by virtue of the upper bound theorem of limit analysis and variation principle according to Hoek-Brown failure criterion. The seepage force was included in the upper bound limit analysis, and it was computed from the gradient of excess pore pressure distribution. The seepage was regarded as a work rate of external force. The numerical results of roof collapse in square and circular tunnels with different rock parameters were derived and discussed, which proves to be valid in comparison with the previous work. The influences of different parameters on the shape of collapsing blocks were also discussed.     

A novel contour design technique of super/hypersonic nozzle diverging section with sharing throat

A straightforward technique has been developed to quickly determine the wall contour of super/hypersonic nozzles working at multiply Mach number which share a common throat section.Mach number distribution along the centerline of the nozzle is specified in advance and divided into two sections,both of which are described by the b-spline function.The first section is shared by different exit Mach number nozzles.The nozzle contour is determined by the method of characteristics plus boundary layer correction.An example of this design method is employed to illustrate the technique with a computational fluid dynamics calculation.The simulation results indicate that desired Mach numbers are obtained at the nozzle exit,and the good flow quality is attained for different nozzles within δMa/Ma±0.56% in the flow core region.This technique improves the design precision of the converging-diverging nozzle,cancels waves completely,and achieves nozzles with multiple Mach number exiting which share a common throat section.     

基于虚拟仪器技术的轮荷测量仪电测系统开发

依据电阻应变测量原理,应用机电一体化技术,开发测量汽车轮荷的测量仪电测系统.该系统由数采硬件电路和上位机车辆轮荷测量系统软件组成.应变传感器测得的电压信号,先后经过调理电路、A/D转换电路和光电隔离电路,传输给MCU.通过串口通信协议,MCU与上位机轮荷测量系统间进行指令和数据的传输,数据经过存储和运算处理后,通过上位机系统面板把轮荷值传达给用户,并将结果储存到PC机中.采用砝码加载,在可倾斜卡具上对测量仪进行了实验标定.根据实验数据算得测量仪的非线性误差为±0.72%,重复性误差为±1.37%,迟滞性误差为±1.47%,灵敏度误差为±1.67%,最终得到综合误差为±2.71%,满足轮荷测量仪预期设计的测量精度和功能要求.     

具有非线性边值条件的二阶脉冲积微分方程的解

脉冲微分方程在理论方面已取得重大进展,应用极其广泛.文中介绍了上下解的定义、单调迭代方法并给出几个引理.最后用上下解方法和单调迭代技巧讨论了具有非线性边值条件的二阶脉冲积微分方程,得到了最大解和最小解的存在性.     

喷嘴湿气井两相流在线计量装置研究及应用

传统的湿气井计量大多采用分离法,存在工艺流程复杂、造价高昂、占地面积大等缺陷。研制了以喷嘴为节流元件的湿气井气液两相流在线计量装置。应用Fluent软件仿真模拟了单相气、单相液、气液两相流过装置的流动特性,计算了虚高系数,建立了气液两相含率在线计量模型。CFD研究及现场应用表明:该装置模型计量精度高,气相计量误差在5%以内,液相计量误差在8%以内。该装置结构简单,可以将温度、压力、差压、气流量、液流量集成在一个表头显示,可以异地重复使用,维护量少,降低计量设备安装与维护成本,满足气田开发工程计量的需要。     

玛湖凹陷与沙湾凹陷上乌尔禾组储集层差异及成因

通过薄片观察、扫描电镜分析、黏土矿物X射线衍射分析、阴极发光实验等,对准噶尔盆地玛湖凹陷和沙湾凹陷上二叠统上乌尔禾组成岩差异进行对比分析,明确了成岩产物类型和孔隙演化过程。压实作用、碳酸盐矿物胶结与沸石胶结是研究区储集层物性差异的主要控制因素,玛湖凹陷压实作用相对较弱,沙湾凹陷溶蚀作用更强。砂体成岩孔隙演化具有差异性,玛湖凹陷储集层以长石颗粒和凝灰岩岩屑溶孔为主,沙湾凹陷储集层以长石颗粒、凝灰岩岩屑以及浊沸石溶孔为主,2类储集层都少量发育原生孔隙。以上2个地区储集层的差异性主要是由成岩流体性质和岩石组分不同导致,其中,岩石组分是导致玛湖凹陷和沙湾凹陷砂砾岩储集层孔隙结构特征差异的主要原因。