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 共查询到18条相似文献,搜索用时 156 毫秒
1.
Based on consolidation equations proposed for unsaturated soil, an analytical solution for 1D consolidation of an unsaturated single-layer soil with nonhomogeneous mixed boundary condition is developed. The mixed boundary condition can be used for special applications, such as tests occur in laboratory. The analytical solution is obtained by assuming all material parameters remain constant during consolidation. In the derivation of the analytical solution, the nonhomogeneous boundary condition is first transformed into a homogeneous boundary condition. Then, the eigenfunction and eigenvalue are derived according to the consolidation equations and the new boundary condition. Finally, using the method of undetermined coefficients and the orthogonal relation of the eigenfunction, the analytical solution for the new boundary condition is obtained. The present method is applicable to various types of boundary conditions. Several numerical examples are provided to investigate the consolidation behavior of an unsaturated single-layer soil with mixed boundary condition.  相似文献   

2.
The lattice Boltzmann method (LBM) is employed to simulate the uniform flow past a circular cylinder. The performance of the two-dimensional LBM model on the prediction of force coefficients and vortex shedding frequency is investigated. The local grid refinement technique and second-order boundary condition for curved walls are applied in the calculations. It is found that the calculated vortex shedding frequency, drag coefficient and lift coefficient are consistent with experimental results at Reynolds nu...  相似文献   

3.
The free vibration and transient wave in a prestressed Rayleigh-Timoshenko beam subject to arbitrary transverse forces are analyzed by the newly developed method of reverberation-ray matrix (MRRM). The effects of shear deformation and rotational inertia are taken into consideration. With a Fourier transform technique, the general wave solutions with two sets of unknown amplitude coefficients are obtained in the transformed domain for an unbonded prestressed beam under the action of arbitrary external excitations. From the coupling at joints and the compatibility of displacements in each member, the free and forced vibration responses of a beam with various boundary conditions are finally evaluated through certain numerical algorithms, Results are presented for a simply-supported beam subject to either a point fixed load or moving load. Good agreement with the finite element method (FEM) is obtained. The present work is instructive for high-speed railway bridge design and structural health monitoring.  相似文献   

4.
分层制造中任意边界簿层分形扫描路径的研究   总被引:2,自引:0,他引:2  
The fractal curve is proposed as a novel scanning-path used in Layered Manufacturing.Aiming at a limitation that the fractal curve can only fill a square region,a method is developed to realize the trimming of fractal curve in arbitrary boundary layer by means of undging intersection points between parameterized arbitrary boundary and a FASS(space-filling,self-avoiding,simple and self-similar)fractal curve.Accordingly,the related algorithm concerning with determining intersection points has been investigated according to the recursion reature of the fractal curve,and in the process of the fractal curve traversed,the rule of udging intersection points is ascertained as well,so that the laser-scanning beam can “walk” along the fractal curve inside the desired boundary,and arbitrary contour components are fabricated.  相似文献   

5.
3D thermoelasticity solutions for functionally graded thick plates   总被引:1,自引:0,他引:1  
Thermal-mechanical behavior of functionally graded thick plates, with one pair of opposite edges simply supported, is investigated based on 3D thermoelasticity. As for the arbitrary boundary conditions, a semi-analytical solution is presented via a hybrid approach combining the state space method and the technique of differential quadrature. The temperature field in the plate is determined according to the steady-state 3D thermal conduction. The Mori-Tanaka method with a power-law volume fraction profile is used to predict the effective material properties including the bulk and shear moduli, while the effective coefficient of thermal expansion and the thermal conductivity are estimated using other micromechanics-based models. To facilitate the implementation of state space analysis through the thickness direction, the approximate laminate model is employed to reduce the inhomogeneous plate into a homogeneous laminate that delivers a state equation with constant coefficients. The present solutions are validated by comparisons with the exact ones for both thin and thick plates. Effects of gradient indices, volume fraction of ceramics, and boundary conditions on the thermomechanical behavior of functionally graded plates are discussed.  相似文献   

6.
For a nonlinear hyperbolic system of conservation laws, the initial-boundary value problem is concerned with the boundary conditions. A boundary entropy condition is derived based on Dubois F and Le Floch P's results by taking a suitable entropy-flux pair (Journal of Differential Equations, 1988, 71(1): 93-122). The solutions of the initial-boundary value problem for the system are constructively obtained, in which initial-boundary data are in piecewise constant states. The delta-shock waves appear in their solutions.  相似文献   

7.
The design methods of anode and cathode are proposed for precision profile grinding.Based on the electrolytic machining theory, electrolytic equilibrium condition and Faraday‘s law of electrolysis are applied to establishing the mathematical model of profile diamond dressing processes. A finite element method (FEM) program is developed to solve the inverse boundary problem of Laplace‘s equation. Desired anode contour or cathode shape is determined by computing the distribution of electric potential layer by layer. Electrolytic machining experiment is carried out to verify the simulated anode shape. The research result shows that shape deviation between designed cathode and profile wheel increases with the value of angle between feed rate and the normal to anode surface. The shape of simulated anode is consistent with the contour of metal-bonded diamond profile wheel for a given cathode. Based on the anode contour, cathode shape can also be designed accurately.  相似文献   

8.
An analytical solution is obtained for a rotating multiferroic composite hollow cylinder made of radially polarized piezoelectric and piezomagnetic materials. Both the number of layers and the stacking sequence of the composite cylinder can be arbitrary. General mechanical, electric and magnetic boundary conditions can be applied at both the inner and outer cylindrical surfaces. The state space method is employed so that only a 2×2 matrix is involved in the whole solving procedure. In the numerical experiments, the distributions of elastic, electric as well as magnetic fields in an internally pressurized rotating BaTiO3/CoFe2O4 composite hollow cylinder subjected to different boundary conditions are presented graphically. The results clearly show that the stress fields in a multiferroic composite cylinder are controllable.  相似文献   

9.
Designing airfoils according to given pressure (or velocity) distribution is one kind of free boundary problems. Free boundary condition can be coupled with the flow governing equations by variable-domain variational calculus, which makes it possible to calculate simultaneously the flow field and the free boundary. An accurate deduction of the variable-domain variational principles is taken herein to design airfoils in compressible and incompressible flows. Furthermore, two grid types (H and O) are used in the calculation with better results for the O-type grid. It is shown that convergence is accelerated and good results can be obtained even if the initial guessed airfoil shape is a triangle, demonstrating the strong adaptability of this method.  相似文献   

10.
It is difficult to analyze the inter-relationship for the construction layout of a reservoir project scientifically and intuitively.According to the characteristics of broad field and huge information,the modeling methods of digital terrain and solid model as well as the techniques of texture mapping and scene navigation are adopted.The simulation system is developed by C program language,which includes the functions of the interactive navigation of 3D scene,the visual inquiry of project digital model information,the storage and management of project information.A certain reservoir is taken as a case.The 3D visual analysis for the construction layout and engineering information are obtained.The proposed system is of great advantages in dealing with large amount of information and the method provides a theoretical basis and technical support for the construction layout of a reservoir project.  相似文献   

11.
基于线性插值的方法提出了一种适用于交替方向隐式时域有限差分法(ADI-FDTD)的吸收边界条件,该边界条件能够在ADI-FDTD方法中改善边界反射性能.首先,对由截断误差和相速估计误差引起的此吸收边界条件的反射进行了分析和推导.通过理论分析,说明了基于相速估计和非均匀网格的对此吸收边界改进方法能够改善边界条件的反射特性.然后进行了矩形波导情况下该吸收边界条件的数值仿真.最后给出了数值仿真结果,并通过对有无相速估计下吸收边界条件反射系数比较、对均匀和非均匀网格处理下吸收边界条件反射系数的比较,以及对在不同时间步长下吸收边界条件反射系数变化的分析,说明了该吸收边界条件及其改进方法对ADI-FDTD方法中的边界反射性能有很好的改善效果.  相似文献   

12.
1 Introduction In some nuclear power plants , chemical plants ,power plants ,the pipe cracks detection is very diffi-cult because of its thinness and fatalness . So the in-pipe inspection micromachine is developed . The rec-tenna (rectifying antenna) ,rec…  相似文献   

13.
文章通过时域有限差分(Finite-Difference Time-Domain,FDTD)方法分析3维(three dimensional)微带天线的散射参数和远场主极化方向图和交叉极化方向图,仿真结果(simulation results)与文献及ansoft软件的仿真结果进行了对比,证实了采用2阶Mur吸收边界条件的FDTD算法的有效性.  相似文献   

14.
为了提高时域有限差分法的计算精度,以二维金属圆柱散射为例,研究了在各向异性完全匹配层(UPML)吸收条件下,改变总场-散射场的输出及吸收边界时误差的变化规律。比较了UPML与二阶Mur吸收边界条件下的误差。同时发现,可采用迭代步数相差半个周期的双站雷达散射截面(RCS)的平均来减小误差,也可采用距离为半个波长的两个输出边界得到RCS的平均来减小误差。  相似文献   

15.
等高线数字化过程中,等高线与边界是否无缝衔接关系到整个后续建模的成败。文章关于等高线与边界无缝衔接问题,在构建数字等高线数据结构的基础上,就数字等高线两端在边界内和在边界外分别编写了数字等高线首尾节点延长算法与裁剪算法,实现了数字化等高线与边界的计算机自动无缝衔接。最后通过实例验证了算法的可行性。  相似文献   

16.
This paper discusses the application of the boundary contour method for resolving plate bending problems. The exploitation of the integrand divergence free property of the plate bending boundary integral equation based on the Kirchhoff hypothesis and a very useful application of Stokes' Theorem are presented to convert surface integrals on boundary elements to the computation of bending potential functions on the discretized boundary points, even for curved surface elements of arbitrary shape. Singularity and treatment of the discontinued corner point are not needed at all. The evaluation of the physics variant at internal points is also shown in this article. Numerical results are presented for some plate bending problems and compared against analytical and previous solutions. Project(No: ZE0208) supported by the National Science Foundation of Zhejiang Province, China  相似文献   

17.
研究了一类不确定离散切换线性奇异(SLS)系统任意切换律下的鲁棒容许性问题.假设系统参数不确定性满足范数有界条件.首先,采用切换Lyapunov函数方法,给出了一些新的保证名义离散SLS系统任意切换律下正则、无脉冲以及渐进稳定的充分条件,且条件表示为线性矩阵不等式形式.基于获得的条件,进一步给出了保证不确定离散SLS系统任意切换律下鲁棒容许的条件.将正常切换系统的切换Lyapunov函数方法推广到奇异切换系统.数值例子说明了该方法保守性的降低及可行性.  相似文献   

18.
In this digital ITEMS module, Dr. Jacqueline Leighton and Dr. Blair Lehman review differences between think-aloud interviews to measure problem-solving processes and cognitive labs to measure comprehension processes. Learners are introduced to historical, theoretical, and procedural differences between these methods and how to use and analyze distinct types of verbal reports in the collection of evidence of test-taker response processes. The module includes details on (a) the different types of cognition that are tapped by different interviewer probes, (b) traditional interviewing methods and new automated tools for collecting verbal reports, and (c) options for analyses of verbal reports. This includes a discussion of reliability and validity issues such as potential bias in the collection of verbal reports, ways to mitigate bias, and inter-rater agreement to enhance credibility of analysis. A novel digital tool for data collection called the ABC tool is presented via illustrative videos. As always, the module contains audio-narrated slides, quiz questions with feedback, a glossary, and curated resources.  相似文献   

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