应用数学和力学

2002 Vol. 23, No. 4

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One-Dimensional Cellular Automaton Model of Traffic Flow Based on Car-Following Idea

DONG Li-yun, XUE Yu, DAI Shi-qiang

2002, 23(4): 331-337.

Abstract(2725) PDF(1075)

Abstract:
An improved one-dimensional CA traffic model was proposed to describe the highway traffic under the periodic boundary conditions. This model was based on the idea of the car-following model, which claims that the motion of a vehicle at one time step depends on both the its headway and the synchronou...

The Interaction Problem Between the Elastic Line Inclusions

TAO Fang-ming, ZHANG Ming-huan, TANG Ren-ji

2002, 23(4): 338-346.

Abstract(2394) PDF(597)

Abstract:
Using the engineering model of elastic line-inclusion and the basic solutions of a single inclusion, the interaction problem between line inclusions in an elastic solid was investigated. A set of standard Cauchy-type singular equations of the problem was presented. The stress intensity factors at po...

XIE Fu-ding, YAN Zhen-ya, ZHANG Hong-qing

2002, 23(4): 347-352.

Abstract(2682) PDF(724)

Abstract:
Four families of similarity reductions are obtained for the nonlinear evolution equation arising in the Fermi-Pasta-Ulam problem via using both the direct method due to Clarkson and Kruskal and the improved direct method due to Lou.

New Studying of Lattice Boltzmann Method for Two-Phase Driven in Porous Media

XU You-sheng, LIU Ci-qun, YU Hui-dan

2002, 23(4): 353-358.

Abstract(2565) PDF(656)

Abstract:
By using the interaction of particles, such as the physical principle of the same attractive each other and the different repulse each other, a new model of Lattice Boltzmann to simulate the two-phase driven in Porous Media was disscussed. The result shows effectively for the problem of two-phase dr...

Some Convergence Problem of Iterative Sequences for Accretive and Pseudo-Contractive Type Mappings in Banach Spaces

ZHANG Shi-sheng

2002, 23(4): 359-370.

Abstract(2196) PDF(729)

Abstract:
Some necessary and sufficient conditions for convergence of Ishikawa Mann and steepest descent iterative sequence for accretive and pseudo-contractive type mappings in Banach spaces were obtained. The results improve, extend and include some recent results.

Kinematic Wave Properties of Anisotropic Dynamics Model for Traffic Flow

JIANG Rui, WU Qing-song, ZHU Zuo-jin

2002, 23(4): 371-375.

Abstract(2767) PDF(650)

Abstract:
The analyses of kinematic wave properties of a new dynamics model for traffic flow are carried out. The model does not exhibit the problem that one characteristic speed is always greater than macroscopic traffic speed, and therefore satisfies the requirement that traffic flow is anisotropic. Linear ...

A Mode Ⅱ Crack in a Two-Dimensional Octagonal Quasicrystals

YIN Shu-yuan, ZHOU Wang-min, FAN Tian-you

2002, 23(4): 376-380.

Abstract(2692) PDF(604)

Abstract:
The present study develops the fracture theory for a two-dimensional octagonal quasicrystals. The exact analytic solution of a Mode Ⅱ Griffith crack in the material was obtained by using the Fourier transform and dual integral equations theory, then the displacement and stress fields, stress intensi...

Statistic Modeling of the Creep Behavior of Metal Matrix Composites Based on Finite Element Analysis

YUE Zhu-feng

2002, 23(4): 381-390.

Abstract(2583) PDF(570)

Abstract:
The aim of the paper is to discover the general creep mechanisms for the short fiber reinforcement matrix composites (MMCs) under uniaxial stress states and to build a relationship between the macroscopic steady creep behavior and the material micro geometric parameters. The unit cell models were us...

A New High-Order Multi-Joint Finite Element for Thin-Walled Bar

LI Zheng-liang, BAI Shao-liang, XIE Wei

2002, 23(4): 391-399.

Abstract(2486) PDF(514)

Abstract:
A new high-order multi-joint finite element for thin-walled bar was derived from the Hermite interpolation polynomial and minimum potential energy principle. This element's characteristics are that it is of high accuracy and can be used in finite method analysis of bridge, tall mega-structure buildi...

Elastic Analysis of Orthotropic Plane Problems by the Spline Fictitious Boundary Element Method

SU Cheng, HAN Da-jian

2002, 23(4): 400-406.

Abstract(3023) PDF(1326)

Abstract:
Non-singular fictitious boundary integral equations for orthotropic elastic plane problems were deduced according to boundary conditions by the techniques of singular-points-outside-domain. Then the unknown fictitious load functions along the fictitious boundary were expressed in terms of basic spli...

On Some Properties of Lienard Systems

HAN Mao-an

2002, 23(4): 407-414.

Abstract(2116) PDF(637)

Abstract:
Some sharp sufficient conditions for generalized Lienard systems to have positive or negative semi-orbits which do not cross the vertical isocline are given. Applications of the main results to some polynomial systems are also presented.

Analytical Solution of Radiation Sound Pressure of Double Cylindrical Shells in Fluid Medium

CHEN Mei-xia, LUO Dong-ping, CHEN Xiao-ning, SHEN Rui-xi

2002, 23(4): 415-421.

Abstract(2286) PDF(668)

Abstract:
The Donnell theory of shell was applied to describe shell motion. The inner and outer shells were stiffened by transverse components. Using deformation harmonious conditions of the interface, the effects of stiffeners were treated as reverse forces and moments on the double cylindrical shell. In the...

On the Continuity and Differentiability of a Kind of Fractal Interpolation Function

LI Hong-da, YE Zheng-lin, GAO Hang-shan

2002, 23(4): 422-428.

Abstract(2616) PDF(613)

Abstract:
The sufficient conditions of Helder continuity of two kinds of fractal interpolation functions defined by IFS were obtained. The sufficient and necessary condition for its differentiability was proved. Its derivative was a fractal interpolation function generated by the associated IFS, if it is diff...

A Computational Method for the Navier-Stokes Equations at All Speeds

ZHAO Xing-yan, SU Mo-ming, MIAO Yong-miao

2002, 23(4): 429-435.

Abstract(2770) PDF(1031)

Abstract:
A PLU-SGS method based on a time-derivative preconditioning algorithm and LU-SGS method is developed in order to calculate the Navier-Stokes equations at all speeds. The equations were discretized using AUSMPW scheme in conjunction with the third-order MUSCL scheme with Van Leer limiter. The present...

Role of Underground Structure Deformation Velocity in the Analysis of Blast-Resistant Structures

ZHAO Xiao-bing, FANG Qin

2002, 23(4): 436-440.

Abstract(2522) PDF(419)

Abstract:
The strucural deformation velocity plays a significant role in the dynamic calculation of underground blastresistant stuctures. The motion differentiating equation of a structure system taking into account the role of deformation velocity of the structure will truthfully describe the actual situatio...