应用数学和力学

2008 Vol. 29, No. 9

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Adaptive Explicit Magnus Numerical Method for Nonlinear Dynamical Systems

LI Wen-cheng, DENG Zi-chen

2008, 29(9): 1009-1016.

Abstract(3494) PDF(543)

Abstract:
Based on the new explicit Magnus expansion developed for nonlinear equation defined on matrix Lie group, an efficient numerical method was suggested for nonlinear dynamical system. To improve the computational efficiency, the integration step size can be controlled self adaptively. The validity and ...

Dynamic Stress Intensity Factor and Dynamic Crack Propagation Characteristics of Anisotropic Material

GAO Xin, WANG Han-gong, KANG Xing-wu

2008, 29(9): 1017-1027.

Abstract(3370) PDF(732)

Abstract:
Based on mechanics of anisotropic material, the dynamic propagation problem of mode Ⅲ crack in an infinite anisotropic body is investigated. The stresses and displacements around the crack tip were expressed as analytical complex function, which can be represented in power series. The constant coeff...

Adaptive Neural Network Control for Coordinated Motion of Dual-Arm Space Robot System With Uncertain Parameters

GUO Yi-shen, CHEN Li

2008, 29(9): 1028-1036.

Abstract(3447) PDF(554)

Abstract:
The control problem of coordinated motion between the base's attitude and the arms' joints of a free-floating dual-arm space robot with uncertain parameters was discussed. Combining the relationship of the system linear momentum conversation and the Lagrangian approach, the dynamic equation of a fre...

Propagation of Plane Waves in Poroviscoelastic Anisotropic Media

A. K. Vashishth, M. D. Sharma

2008, 29(9): 1037-1047.

Abstract(3392) PDF(500)

Abstract:
The wave propagation in, perhaps, the most general model of a poroelastic medium is discussed. The medium is considered as a viscoelastic, anisotropic, porous solid frame such that its pores of anisotropic permeability are filled with a viscous fluid. The anisotropy, considered, is of general type a...

Boundary Slippage Used to Generate Hydrodynamic Load-Carrying Capacity

ZHANG Yong-bin

2008, 29(9): 1048-1056.

Abstract(2388) PDF(475)

Abstract:
Boundary slippage was used to generate the load-carrying capacity of the hydrodynamic contact between two parallel plane surfaces. In the fluid inlet zone the fluid-contact interfacial shear strength on the stationary surface is set as low to generate boundary slippage there, while in the fluid outl...

Analytical Model of Sound Transmission Through Laminated Composite Cylindrical Shells Considering Transverse Shear Deformation

Kamran Daneshjou, Ali Nouri, Roohollah Talebitooti

2008, 29(9): 1057-1068.

Abstract(2948) PDF(523)

Abstract:
Composite structures are often used in aerospace industries because of advantages offered by a high strength to weight ratio. Sound transmission through an infinite laminated composite cylindrical shell is studied in the context of the transmission of airborne sound into aircraft interior. The shell...

Effects of Chemical Reaction on MHD Micropolar Fluid Flow Past a Vertical Plate in Slip-Flow Regime

R. C. Chaudhary, Abhay Kumar Jha

2008, 29(9): 1069-1082.

Abstract(2957) PDF(622)

Abstract:
Heat and mass transfer effects on unsteady flow of a micropolar fluid through a porous medium bounded by a semi-infinite vertical plate in slip-flow regime was studied, taking into account the homogeneous chemical reaction of first order. A uniform magnetic field acts perpendicular to the porous sur...

Limit Cycles and Homoclinic Orbits and Their Bifurcation of the Bogdanov-Takens System

HUANG Cheng-biao, LIU Jia

2008, 29(9): 1083-1088.

Abstract(3259) PDF(843)

Abstract:
The quantitative analysis of limit cycles and homoclinic orbits and the bifurcation curve for the Bogdanov-Takens system were discussed. The parameter incremental method for approximate analytical-expressions of these problems was given. These analytical-expressions of the limit cycle and homoclinic...

Anisotropic Rectangular Nonconforming Finite Element Analysis for Sobolev Equations

SHI Dong-yang, WANG Hai-hong, GUO Cheng

2008, 29(9): 1089-1100.

Abstract(3315) PDF(586)

Abstract:
The anisotropic rectangular nonconforming finite element method to Sobolev equations is discussed under semi-discrete and full discrete schemes, the corresponding optimal convergence error estimates and superclose property are derived, which are the same as the traditional conforming finite elements...

Analytical Approximate Solutions and the Approximate Value of Skin Friction Coefficient for the Boundary Layer of Power Law Fluids

SU Xiao-hong, ZHENG Lian-cun, JIANG Feng

2008, 29(9): 1101-1106.

Abstract(2790) PDF(546)

Abstract:
A theoretical analysis for laminar boundary layer flow in power law non-Newtonian fluid was presented. The Adomian analytical decomposition technique was presented and an approximate analytical solution was obtained. The approximate analytical solution can be represented in terms of a rapid converge...

A New Alternating Group Explicit-Implicit Algorithm With Highly Accuracy for the Dispersive Equation

ZHANG Qing-jie, WANG Wen-qia

2008, 29(9): 1107-1116.

Abstract(3224) PDF(496)

Abstract:
A new alternating group explicit-implicit scheme (nAGEI) for the dispersive equation with a periodic boundary condition is derived. This new unconditionally stable scheme has the fourth-order truncation error in space and quicker ratio of convergence than some known alternating group methods (eg. AS...

Convergence of Gradient Method for Elman Networks

WU Wei, XU Dong-po, LI Zheng-xue

2008, 29(9): 1117-1123.

Abstract(3233) PDF(815)

Abstract:
The gradient method for training Elman networks with finite training sample set is considered. The monotonicity of the error function in the iteration is shown. A weak and a strong convergence results are proved, indicating that the gradient of the error function goes to zero and the weight sequence...

Dividend Function in the Jump-Diffusion Dual Model With Barrier Dividend Strategy

LI Bo, WU Rong

2008, 29(9): 1124-1134.

Abstract(2656) PDF(563)

Abstract:
A dual model of the perturbed classical compound Poisson risk model under a constant dividend barrier was considered. A new method is used in deriving the boundary condition of the equation satisfied by that expectation function, by using the local time of a related process. The expression for the e...