一种拟合三维空间直线的新方法

提出了一种基于稳健总体最小二乘的三维空间直线拟合新方法。该方法以加权总体最小二乘为基础,通过删除点到拟合直线距离过大的观测点来抵抗粗差的影响,获得空间直线参数的稳健估计值。试验表明,当观测数据中不含有误差时,加权最小二乘法、加权总体最小二乘法和本文方法的参数估计值高度一致;当观测数据包含粗差时,本方法的参数估计值明显更接近真实值。

基于三维空间直线拟合的卫星天线动态精密校准方法研究

卫星天线的调试、校准都必须在关停的状态下实施,给日常的检修工作中带来了很大的不便。提出了利用全站仪观测实时运行天线的抛物面、馈源上安装的部分反射片坐标,对天线椭圆抛物型面进行拟合及对馈源三维直线进行拟合,得到瞬时的直线方程,计算出瞬时的准确的天线指向,解决动态天线在工作状态下的精密校准问题。经实际检验,效果较为理想。

地下隧道倾斜洞门中心三维空间拟合研究

本文结合某工程实例,分析了在地下隧道工程中所遇到的关于倾斜洞门中心三维空间拟合的问题,提出了一种基于最小二乘法为拟合方法的解决方案,为隧道工程中洞门的监测提供了一定的理论基础和实践经验。

优化设计中的拟网格原理(Ⅰ)

在研究目标函数和约束条件的性质与允许误差的条件下 ,研究了断定全局优化方案就存在于变量网格结点中的若干个结点之间的问题 .提出了拟三维空间和超球体概念 ;导出了确定可计算的网格结点公式 。

The numerical simulation for a 3D two-phase anisotropic medium based on BISQ model

Biot-flow and squirt-flow are the two most important fluid flow mechanisms in porous media containing fluids. Based on the BISQ （Biot-Squirt） model where the two mechanisms are treated simultaneously, the elastic wave-field simulation in the porous medium is limited to two-dimensions and two-components （2D2C） or two-dimensions and three-components （2D3C）. There is no previous report on wave simulation in three- dimensions and three-components. Only through three dimensional numerical simulations can we have an overall understanding of wave field coupling relations and the spatial distribution characteristics between the solid and fluid phases in the dual-phase anisotropic medium. In this paper, based on the BISQ equation, we present elastic wave propagation in a three dimensional dual-phase anisotropic medium simulated by the staggered-grid high-order finite-difference method. We analyze the resulting wave fields and show that the results are an improvement.

Three-dimensional Spaces of Quasi-constant Curvature

In this paper some properties of three-dimensional spaces of quasi-constant curvature different from those of cases when dimension n≥4 are proved. In particular, two classes of non-conformally flat solutions of them are constructed. In physics,a three-dimensional space of quasi-constant curvature appears as the space-like hypersurface of the rotation-free cosmological model of type D for the fluids with heat flow in General Relativity.

Vortex-Induced Vibration of Two Parallel Risers:Experimental Test and Numerical Simulation

The vortex-induced vibration of two identical rigidly mounted risers in a parallel arrangement was studied using Ansys-CFX and model tests.The vortex shedding and force were recorded to determine the effect of spacing on the two-degree-of-freedom oscillation of the risers.CFX was used to study the single riser and two parallel risers in 2–8D spacing considering the coupling effect.Because of the limited width of water channel,only three different riser spacings,2D,3D,and 4D,were tested to validate the characteristics of the two parallel risers by comparing to the numerical simulation.The results indicate that the lift force changes significantly with the increase in spacing,and in the case of 3D spacing,the lift force of the two parallel risers reaches the maximum.The vortex shedding of the risers in 3D spacing shows that a variable velocity field with the same frequency as the vortex shedding is generated in the overlapped area,thus equalizing the period of drag force to that of lift force.It can be concluded that the interaction between the two parallel risers is significant when the risers are brought to a small distance between them because the trajectory of riser changes from oval to curve 8 as the spacing is increased.The phase difference of lift force between the two risers is also different as the spacing changes.

Analyses of axial,lateral and circumferential deformations of rock specimen in triaxial compression

The axial,lateral and circumferential strains were analyzed for a rock specimen subjected to shear failure in the form of a shear band bisecting the specimen in triaxial compression.Plastic deformation of the specimen stemmed from shear strain localization initiated at the peak shear stress.Beyond the onset of strain localization,the axial,lateral and circumferential strains were decomposed into two parts,respectively.One is the elas- tic strain described by general Hooke's law.The other is attributable to the plastic shear slips along shear band with a certain thickness dependent on the internal length of rock. The post-peak circumferential strain-axial strain curve of longer specimen is steeper than that of shorter specimen,as is consistent with the previous experiments.In elastic stage, the circumferential strain-axial strain curve exhibits nonlinear characteristic,as is in agreement with the previous experiment since confining pressure is loaded progressively until a certain value is reached.When the confining pressure is loaded completely,the circumferential strain-axial strain curve is linear in elastic and strain-softening stages.The predicted circumferential strain-axial strain curve in elastic and strain-softening stages agrees with the previous experiment.

Three-dimensional transient numerical simulation for gas exchange process in a four-stroke motorcycle engine

Three-dimensional transient numerical simulation of gas exchange process in a four-stroke motorcycle engine with a semi-spherical combustion chamber with two tilt valves was studied. Combination of the grid re-meshing method and the snapper technique made the valves move smoothly. The flow structure and pattern in a complete engine cycle were described in detail. Tumble ratios around the x-axis and y-axis were analyzed. Comparison of computed pressure with experimental pressure under motored condition revealed that the simulation had high calculation precision; CFD simulation can be regarded as an im-portant tool for resolving the complex aerodynamic behavior in motorcycle engines.

Comparative analyses of current three-dimensional numerical solar wind models

We present a comparative study of the most advanced three-dimensional time-dependent numerical simulation models of solar wind. These models can be classified into two categories： （I） theoretical, empirical and numerically based models and （Ⅱ） self-consistent multi-dimensional numerical magnetohydrodynamic （MHD） models. The models of Category I are used to sep- arately describe the solar wind solution in two plasma flows regions： transonic/trans-Alfvrnic and supersonic/super-Alfvenic, respectively. Models of Category II construct a complete, single, numerical solar wind solution through subsonic/sub-Alfvrnic region into supersonic/super-Alfvrnic region. The Wang-Sheeley-Arge （WSA）/ENLIL in CISM is the most successful space weather model that belongs to Category I, and the Block-Adaptive-Tree-Solarwind-Roe-Upwind-Scheme （BATS-R-US） code in SWMF （Space Weather Modeling Framework） and the solar-interplanetary conservative element solution element MHD （SIP-CESE MHD） model in SWIM （Space Weather Integrated Model） are the most commonly-used models that belong to Category II. We review the structures of their frameworks, the main results for solar wind background studies that are essential for solar transient event studies, and discuss the common features and differences between these two categories of solar wind models. Finally, we conclude that the transition of these two categories of models to operational use depends on the availability of computational resources at reasonable cost and point out that the models＇ prediction capabilities may be improved by employing finer computational grids, incorporating more observational data and by adding more physical constraints to the models.