应用数学和力学

2005 Vol. 26, No. 7

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Dynamicl Character for a Perturbed Coupled Nonlinear Schr^L dinger System

YU Pei, GAO Ping, GUO Bo-ling

2005, 26(7): 757-762.

Abstract(2480) PDF(627)

Abstract:
The dynamics for a perturbed coupled nonlinear Schr^L dinger system with periodic boundary condition was studiesd. First, the dynamics of perturbed and unperturbed systems on the invariant plane was analyzed by the spectrum of the linear operator. Then the existence of the locally invariant manifolds...

Method of Green’s Function of Corrugated Shells

YUAN Hong, ZHANG Xiang-wei

2005, 26(7): 763-769.

Abstract(2876) PDF(551)

Abstract:
By using the fundamental equations of axisymmetric shallow shells of revolution, the nonlinear bending of a shallow corrugated shell with taper under arbitrary load has been investigated. The nonlinear boundary value problem of the corrugated shell was reduced to the nonlinear integral equations by ...

Bifurcations of Travelling Wave Solutions for a Coupled Nonlinear Wave System

ZHANG Ji-xiang, LI Ji-bin

2005, 26(7): 770-778.

Abstract(3434) PDF(751)

Abstract:
By using the bifurcation theory of dynamical systems to the coupled nonlinear wave equations, the existence and stability of periodic wave solutions by Hopf bifurcations are obtained. Theory of travelling wave was applied to transforma kind of the coupled nolinear wave equations into three- dimensio...

Solving 2-D Nonlinear Coupled Heat and Moisture Transfer Problems via a Self-Adaptive Precise Algorithm in Time Domain

YANG Hai-tian, LIU Yan, WU Rui-feng

2005, 26(7): 779-784.

Abstract(2314) PDF(627)

Abstract:
A self-adaptive precise algorithm in the time domain was employed to solve 2-D nonlinear coupled heat and moisture transfer problems. By expanding variables at a discretized time interval, the variations of variables can be described more precisely, and a nonlinear coupled initial and boundary value...

Time Domain Parameters Identification of Foundation-Structure Interaction System

HUANG Yi, LIU Zeng-rong

2005, 26(7): 785-793.

Abstract(2597) PDF(657)

Abstract:
The time domain parameter identification method of the foundation-structure interaction system is presented. On the basis of building the computation mode and the motion equation of the foundation-structure interaction system, the system parameter identification method was established by using the E...

Well Posedness of Initial Value Problem for Euler Equations of Inviscid Compressible Adiabatic Fluid

WANG Yue-peng

2005, 26(7): 794-800.

Abstract(2920) PDF(783)

Abstract:
The well-posedness of the initial value problem of the Euler equations was mainly discussed based on the stratification theory, and the necessary and sufficient conditions of well-posedness are presented for some representative initial or boundary value problem, thus the structure of solution space ...

Small-Stencil Pad Schemes to Solve Nonlinear Evolution Equations

LIU Ru-xun, WU Ling-ling

2005, 26(7): 801-809.

Abstract(2986) PDF(676)

Abstract:
A set of small-stencil new Pad schemes with the same denominator are presented to solve high-order non-linear evoltuion equations. Using this scheme, the fourth-order precision cannot only be kept, but also the final three-diagonal discrete systems are solved by simple Doolittle methods, or ODE syst...

Dynamic Analysis of Two-Degree-of-Freedom Oblique Impact System With Non-Fixed Impact Positions

JIN Li, LU Qi-shao, WANG Qi

2005, 26(7): 810-818.

Abstract(2700) PDF(602)

Abstract:
The dynamic behavior of a two-degree-of-freedom oblique impact system consisted of two pendulums with non-fixed impact positions is investigeated. The relations between the restitution coefficient, the friction coefficient, as well as other parameters of the system and the states before or after imp...

Galerkin Meshless Methods Based on Partition of Unity Quadrature

ZENG Qing-hong, LU De-tang

2005, 26(7): 819-825.

Abstract(3042) PDF(660)

Abstract:
Numerical quadrature is an important ingredient of Galerkin meshless methods. A new numerical quadrature technique, partition of unity quadrature (PUQ), for Galerkin meshless methods was presented. The technique was based on finite covering and partition of unity. There was no need to decompose the ...

Configuration Controllability for Non-Zero Potential Mechanical Control Systems With Dissipation

KANG Jian-ling, WANG Hong, YE Hua-wen

2005, 26(7): 826-832.

Abstract(2786) PDF(704)

Abstract:
Within the affine connection framework of Lagrangian control systems, based on the results of Sussmann on controllability of general affine control systems defined on a finite-dimensional manifold, a computable sufficient condition of configuration controllability for the simple mechanical control s...

Asymptotic Theory of Initial Value Problems for Nonlinear Perturbed Klein-Gordon Equations

GAN Zai-Hui, ZHANG Jian

2005, 26(7): 833-839.

Abstract(2900) PDF(894)

Abstract:
The asymptotic theory of initial value problems for a class of nonlinear perturbed Klein- Gordon equations in two space dimensions is considered. Firstly, using the contraction mapping principle, combining some priori estimates and the convergence of Bessel function, the well-posedness of solutions ...

Analysis on the Stability of an Autonomous Dynamics System for SARS Epidemic

ZHANG Shuang-de, HAO Hai

2005, 26(7): 840-846.

Abstract(3069) PDF(735)

Abstract:
An extended dynamic model for SARS epidemic was deduced on the basis of the K-M infection model with taking the density constraint of susceptible population and the cure and death rate of patients into consideration. It is shown that the infection-free equilibrium is global asymptotic stability for ...

New Method for Geometric Nonlinear Analysis of Large Displacement Drill Strings

TAN Mei-lan, WANG Xin-wei

2005, 26(7): 847-853.

Abstract(2747) PDF(586)

Abstract:
Based on the actual measured well depth, azimuth and oblique angles, a novel interpolation method to obtain the well axis is developed. The initial stress of drill string at the reference state being consistent with well axis can be obtained from the curvatures and the tortuosity of well axis. By us...

Curvature Relation of Wave Front and Wave Changing in External Field

LIU Shen-quan, SONG Le

2005, 26(7): 854-860.

Abstract(2988) PDF(980)

Abstract:
The changing of wave structure in excitable media in external field is studied and the curvature relation of wave front is analyzed. Under external stimulus the normal velocity of wave front has linear relation with mean curvature of wave front, plane velocity and external field. The simulation meth...

Error Estimate for the Influence of Model Reduction of Nonlinear Dissipative Autonomous Dynamical System on the Long-Term Behaviours

ZHANG Jia-zhong, LIU Yan, CHEN Dang-min

2005, 26(7): 861-866.

Abstract(3100) PDF(735)

Abstract:
From viewpoint of nonlinear dynamics, the model reduction and its influence on the long- term behaviours of a class of nonlinear dissipative autonomous dynamical system with higher dimen sion are investigated theoretically under some assumptions. The system was analyzed in the state space with an in...

Region-Wise Variational Principles and Generalized Variational Principles on Large Strain for Consolidation Theory

LUO Xiao-hui, LI Yong-le, LUO Xin

2005, 26(7): 867-874.

Abstract(2988) PDF(881)

Abstract:
The difference of constitutive character and large deformation as to soil mass are basic questions to analyze deformational feature. According to the description method of limited deformation, the large deformation consolidation equations of soil mass were created and its variational principles were...

Multi-Monte Carlo Method for General Dynamic Equation Considering Particle Coagulation

ZHAO Hai-bo, ZHENG Chu-guang, XU Ming-hou

2005, 26(7): 875-882.

Abstract(2727) PDF(1372)

Abstract:
Monte Carlo (MC) method is widely adopted to take into account general dynamic equation (GDE) for particle coagulation, however popular MC method has high computation cost and statistical fatigue. A new Multi-Monte Carlo (MMC) method, which has characteristics of time-driven MC method, constant numb...