应用数学和力学

2006 Vol. 27, No. 10

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Support Vector Machine for Structural Reliability Analysis

LI Hong-shuang, LÜ Zhen-zhou, YUE Zhu-feng

2006, 27(10): 1135-1143.

Abstract(2770) PDF(683)

Abstract:
Support vector machine (SVM) was introduced to analyze the reliability of the implicit performance function, which is difficult to implement by the classical methods such as the first order reliability method (FORM) and the Monte Carlo simulation (MCS). As a classification method where the underlyin...

Analytical Solution for Fixed-Fixed Anisotropic Beam Subjected to Uniform Load

DING Hao-jiang, HUANG De-jin, WANG Hui-ming

2006, 27(10): 1144-1149.

Abstract(2919) PDF(713)

Abstract:
The analytical solutions of the stresses and displacements were obtained for fixed-fixed anisotropic beams subjected to uniform load. A stress function involving unknown coefficients was constructed, and the general expressions of stress and displacement were obtained by means of Airy stress functio...

Oscillation Behavior of Solutions for Even Order Neutral Functional Differential Equations

T. Cadan

2006, 27(10): 1150-1158.

Abstract(2257) PDF(599)

Abstract:
Even order neutral functional differential equations are considered. Sufficient conditions for the oscillation behavior of solutions for this differential equation are presented. The new results are presented and the some examples also given.

Stochastic Algorithm and Numerical Simulation for Drop Scavenging of Aerosols

ZHAO Hai-bo, ZHENG Chu-guang

2006, 27(10): 1159-1168.

Abstract(2791) PDF(713)

Abstract:
The time evolution of aerosol size distribution during precipitation, which is founded mathematically by general dynamic equation (GDE) for wet removal, describes quantitatively the process of aerosol wet scavenging. The equation depends on aerosol size distribution, raindrop size distribution and t...

Exact Solution of Large Deformation Basic Equations of Circular Membrane Under Central Force

HAO Ji-ping, YAN Xin-li

2006, 27(10): 1169-1172.

Abstract(3184) PDF(565)

Abstract:
Exact solution of the nonlinear boundary value problem for the basic equation and boundary condition of circular membrane under central force were obtained by using new simple methods. The existence and uniqueness of the solution were discussed by making use of modern immovable point theorems. Altho...

High Performance Sparse Solver for Unsymmetrical Linear Equations With Out-of-Core Strategies and Its Application on Meshless Methods

YUAN Wei-ran, CHEN Pu, LIU Kai-xin

2006, 27(10): 1173-1181.

Abstract(2851) PDF(775)

Abstract:
A new direct method for solving unsymmetrical sparse linear systems(USLS) arising from meshless methods was introduced. Computation of certain meshless methods such as meshless local Petrov-Galerkin (MLPG) method need to solve large USLS. The proposed solution method for unsymmetrical case performs ...

Directional Derivative of the Vector Field and Regular Curves on Time Scales

Emin Özyilmaz

2006, 27(10): 1182-1192.

Abstract(2789) PDF(736)

Abstract:
The general idea is to study curves where in the parametric equations the parameter varies in a so-called time scale, which may be an arbitrary closed subset of the set of all real numbers. The directional derivative according to the vector fields was introduced.

Double-Medium Constitutive Model of Geological Material in Uniaxial Tension and Compression

LIU Xiao-li, WANG Si-jing, WANG En-zhi, XUE Qiang

2006, 27(10): 1193-1201.

Abstract(2723) PDF(604)

Abstract:
Based on elasto-plasticity and damage mechanics, a double-medium constitutive model of geological material under uniaxial tension and compression was presented, on the assumption that rock and soil materials being pore-fracture double-medium, and porous medium occurring no damage, while fracture med...

Second-Order Moment Model for Dense Two-Phase Turbulent Flow of Bingham Fluid With Particles

ZENG Zhuo-xiong, ZHOU Li-xing, LIU Zhi-he

2006, 27(10): 1202-1210.

Abstract(2976) PDF(500)

Abstract:
The USM-theta model of Bingham fluid for dense two-phase tur bulent flow is developed, which combines the unified second-order moment model for two-phase tur bulence with the particle kinetic theory for the inter-particle collision. In this model, phases interaction and the extraterm of Bingham flui...

Efficient Numerical Integrators for Highly Oscillatory Dynamic Systems Based on Modified Magnus Integrator Method

LI Wen-cheng, DENG Zi-chen, HUANG Yong-an

2006, 27(10): 1211-1218.

Abstract(2764) PDF(599)

Abstract:
Based on the Magnus integrator method established in linear dynamic systems, an efficiently improved modified Magnus integrator method is proposed for the second-order dynamic systems with time-dependent high frequencies. Firstly, the second-order dynamic system was reformulated as a system of the f...

Resistance Effect of Electric Double Layer on Liquid Flow in Microchannel

GONG Lei, WU Jian-kang

2006, 27(10): 1219-1225.

Abstract(2850) PDF(732)

Abstract:
Poisson-Boltzmann equation for electric double layer and Navier-Stokes equation for liquid flows to investigate resistance effect of electric double layer on liquid flow in microchannel were nu merically solved. The dimension analysis indicates that the resistance effect of electric double layer can...

Application of Wu Elimination Method to Constrained Dynamics

JIA Yi-feng, CHEN Yu-fu, XU Zhi-qiang

2006, 27(10): 1226-1234.

Abstract(3017) PDF(736)

Abstract:
The polynomial type Lagrange equation and Hamilton equation of finite dimensional constrained dynamics are considered. A new algorithm was presented for solving constraints based on Wu elimination method. The new algorithm does not need to calculate the rank of Hessian matrix and determine the linea...

On the Cauchy Problem of One Type of Atmosphere Evolution Equations

HE Juan-xiong, HE You-hua

2006, 27(10): 1235-1242.

Abstract(2503) PDF(563)

Abstract:
One type of evolution atmosphere equations was discussed. It is found that according to the stratification theory, 1) the inertial force has no influence on the criterion of the well-posed Cauchy problem; 2) the compressibility plays no role on the well posed condition of the Cauchy problem of the v...

Nonlinear Vibration of Circular Sandwich Plates Under Circumjacent Load

DU Guo-jun, MA Jian-qing

2006, 27(10): 1243-1249.

Abstract(3211) PDF(526)

Abstract:
Based on von Karman plate theory, the issue about nonlinear vibration for circular sandwich plates under circumjacent load with the loosely clamped boundary condition is researched. Nonlinear differential eigenvalue equations and boundary conditions of the problem were formulated by variational meth...

Static Analysis of Cable Structure

HUANG Yan, LAN Wei-ren

2006, 27(10): 1250-1254.

Abstract(2870) PDF(534)

Abstract:
Based on the nonlinear geometric relation between strain and displacement for flexible cable, the equilibrium equation under self-weight and influence of temperature were established and an analytical solution of displacement and tension distribution defined in Eulerian coordinate system was accurat...

Solitary Waves in Finite Deformation Elastic Circular Rod

LIU Zhi-fang, ZHANG Shan-yuan

2006, 27(10): 1255-1260.

Abstract(3080) PDF(817)

Abstract:
A new nonlinear wave equation of a finite deformation elastic circular rod simultaneously introducing transverse inertia and shearing strain was derived by means of Hamilton principle. The nonlinear equation includes two nonlinear terms caused by finite deformation and double geometric dispersion ef...