应用数学和力学

2005 Vol. 26, No. 1

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Variation of Velocity Profile of Jet and Its Effect on Interfacial Stability

LI Xiao-jun, HU Guo-hui, ZHOU Zhe-wei

2005, 26(1): 1-6.

Abstract(2576) PDF(496)

Abstract:
Linear stability theory is used to study a double fluid model for a liquid jet surrounded by a coaxial gas steam.Under the different pressure gradients for liquid and gas flow,the variation of the velocity profile in the model and the thickness of the shear layer were investigated.The effects of suc...

Critical Damping of the Second-Order Pendulum-Like Systems

LI Xin-bin, HUANG Yong-nian, YANG Ying, HUANG Lin

2005, 26(1): 7-15.

Abstract(3130) PDF(594)

Abstract:
First,the properties of solutions of a typical second-order pendulum-like system with a specified nonlinear function were dicussed.Then the case with a general form of nonlinearity is considered and its global properties were studied by using the qualitative theory of differential equations.As a res...

Scattering of Harmonic Anti-Plane Shear Waves by an Interface Crack in Magneto-Electro-Elastic Composites

ZHOU Zhen-gong, WANG Biao

2005, 26(1): 16-24.

Abstract(2632) PDF(613)

Abstract:
The dynamic behavior of an interface crack in magneto-electro-elastic composites under harmonic elastic anti-plane shear waves is investigated for the permeable electric boundary conditions.By using the Fourier transform,the problem can be solved with a pair of dual integral equations in which the u...

A Critical Pattern of Crossflow Around a Slender

LI Guo-hui, DENG Xue-ying

2005, 26(1): 25-31.

Abstract(2634) PDF(506)

Abstract:
Topological structure of a slender crossflow was discussed with topological analysis.It is pointed that the development of slender vortices leads to the change of topological structure about cross flow,and a critical flow pattern will appear.There is a high-order singular point in this critical flow...

Construction of Third-Order WNND Scheme and Its Application in Complex Flow

LIU Wei, ZHAO Hai-yang, XIE Yu-fei

2005, 26(1): 32-39.

Abstract(3338) PDF(700)

Abstract:
According to the Liu's weighted idea,a space third-order WNND scheme was constructed based on the stencils of second-order NND scheme.It was applied in solving linear-wave equation,1D Euler equations and 3D Navier-Stokes equations.The numerical results indicate that the WNND scheme which doesn't inc...

Analyses on Structural Damage Identification Based on Combined Parameters

TANG He-sheng, XUE Song-tao, CHEN Rong, WANG Yuan-gong

2005, 26(1): 40-46.

Abstract(2413) PDF(515)

Abstract:
The relative sensitivities of structural dynamical parameters were analyzed using a directive derivation method.The neural network is able to approximate arbitrary non-linear mapping relationship,so it is a powerful damage identification tool for undnown systems.A neural network-based approach was p...

Stable and Unstable Stationary Trajectories

J. M. Soriano

2005, 26(1): 47-52.

Abstract(2901) PDF(549)

Abstract:
The stability of stationary trajectories of a particular autonomous system is studied.The proof of the result is based upon continuation methods.

Shift of Shock Position for a Class of Nonlinear Singularly Perturbed Problems

MO Jia-qi, WANG Hui

2005, 26(1): 53-57.

Abstract(2873) PDF(645)

Abstract:
The shift of shock position for a class of nonlinear singularly perturbed problems is considered using a special and simple method.The location of the shock wave will be larger move,even from interior layer to the boundary layer when the boundary conditions change smaller.

Computational Technique for Flow in Blood Vessels With Porous Effects

Anil Kumar, C. L. Varshney, G. C. Sharma

2005, 26(1): 58-66.

Abstract(3084) PDF(483)

Abstract:
A finite element solution for the Navier-Stokes equations for steady flow under the porosity effects through a double branched two dimensional section of a three dimensional model of a canine aorta was obtained.The numerical solution involves transforming a physical coordinates to a curvilinear boun...

Explicit Square Conserving Schemes of Landau-Lifshitz Equation With Gilbert Component

SUN Jian-qiang, MA Zhong-qi, QIN Meng-zhao

2005, 26(1): 67-71.

Abstract(2889) PDF(716)

Abstract:
A kind of explicit square-conserving scheme is proposed for the Landau-Lifshitz equation with Gilbert component.The basic idea was to semidiscrete the Landau-Lifshitz equation into the ordinary differential equations is skewsymmtery matrix.Then the Lie group method and the Runge-Kutta (RK) method we...

On the Nonlinear Riemann Problems for General First Elliptic Systems in the Plane

LI Ming-zhong, SONG Jie

2005, 26(1): 72-76.

Abstract(2763) PDF(603)

Abstract:
The nonlinear Riemann problem for general systems of two first order linear and quasi-linear equations in the plane are considered.It translates them to singular integral equations and proves the existence of the solution by means of contract principle or general contract principle.The known results...

Analysis of Simple Shear Endochronic Equations for Finite Plastic Deformation

JIANG Wu-gui, HUANG Ming-hui

2005, 26(1): 77-82.

Abstract(3027) PDF(676)

Abstract:
Jaumann rate,generalized Jaumann rate,Fu rate and Wu rate were incorporated into endochronic equations for finite plastic deformation to analyze simple shear finite deformation.The results show that an oscillatory shear stress and normal stress response to a monotonically increasing shear strain occ...

Numerical Study on the Stability and Mixing of Vertical Round Buoyant Jet in Shallow Water

ZENG Yu-hong, HUAI Wen-xin

2005, 26(1): 83-91.

Abstract(2791) PDF(537)

Abstract:
The k-epsilon model was applied to establish the mathematical model of vertical round buoyant jet discharging into confined depth,and it was solved using the Hybrid Finite Analytic Method (HFAM).The numerical predictions demonstrate two generic flow patterns for different jet discharge and environme...

Explicit Solutions to the Coupled KdV Equations with Variable Coefficients

XU Gui-qiong, LI Zhi-bin

2005, 26(1): 92-98.

Abstract(3128) PDF(602)

Abstract:
By means of sn-function expansion method and cn-function expansion method,several kinds of explicit solutions to the coupled KdV equations with variable coefficients are obtained,which include three sets of periodic wave-like solutions.These solutions degenerate to solitary wave-like solutions at a ...

Averaging Principle for Quasi-Geostrophic Motion Under Rapidly Oscillating Forcing

GAO Hong-jun, DUAN Jin-qiao

2005, 26(1): 99-110.

Abstract(2684) PDF(603)

Abstract:
A class of large scale geophysical fluid fows are modelled by the quasi-geostrophic equation.An averaging principle for quasi-geostrophic motion under rapidly oscil-lating(non-autonomous) forcing was obtained,both on finite but large time intervals and on the entire time axis.This includes compariso...

On Plastic Anisotropy of Constitutive Model for Rate-Dependent Single Crystal

ZHANG Guang, ZHANG Ke-shi, FENG Lu

2005, 26(1): 111-119.

Abstract(2894) PDF(808)

Abstract:
An algorithm for single crystals was developed and implemented to simulate plastic anisotropy using a rate-dependent slip model.The proposed procedure was a slightly modified form of single crystal constitutive model of Sarma and Zacharia.Modified Euler method,together with New ton-Raphson method wa...

Cublic Spline Solutions of Axisymmetrical Nonlinear Bending and Buckling of Circular Sandwich Plates

HOU Chao-sheng, ZHANG Shou-kai, LIN Feng

2005, 26(1): 120-126.

Abstract(3035) PDF(631)

Abstract:
Cubic B-spline taken as trial function,the nonlinear bending of a circular sandwich plate was calculated by the method of point collocation.The support could be elastic.A sandwich plate was assumed to be Reissner Model.The formulae were developed for the calculation of a circular sandwich plate subj...