应用数学和力学

2004 Vol. 25, No. 9

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Free-Parameter Perturbation-Method Solutions of the Nonlinear Stability of Shallow Spherical Shells

CHEN Shan-lin, LI Qi-zhong

2004, 25(9): 881-888.

Abstract(3041) PDF(549)

Abstract:
The free-parameter perturbation method is applied to solve the problems of nonlinear stability of spherical shallow shells under uniform load.As a modified perturbation method,the free-parameter perturbation method enables researchers to obtain all characteristic relations without choosing the certa...

Impulsive Control of Chaotic Attractors in Nonlinear Chaotic Systems

MA Jun-hai, REN Biao, CHEN Yu-shu

2004, 25(9): 889-894.

Abstract(3295) PDF(627)

Abstract:
Based on the study both domestic and abroad,an impulsive control scheme on chaotic attractors in one chaotic system was presented.By applying impulsive control theory of the universal equation,the asymptotically stable condition of impulsive control on chaotic attractors in such nonlinear chaotic sy...

Local Discontinuous Galerkin Method for Radial Porous Flow With Dispersion and Adsorption

WANG Ji-wen, LIU Ci-qun

2004, 25(9): 895-900.

Abstract(2656) PDF(551)

Abstract:
Based on the local discontinuous Galerkin methods for time-dependent convection-diffusion systems newly developed by Corkburn and Shu,according to the form of the generalized convection-diffusion equations which model the radial porous flow with dispersion and adsorption,a local discontinuous Galerk...

Analytical Solution of Bending-Compression Column Using Different Tension-Compression Modulus

YAO Wen-juan, YE Zhi-ming

2004, 25(9): 901-909.

Abstract(2833) PDF(1032)

Abstract:
Based on elastic theory of different tension-compression modulus,the analytical solution was presented for bending-compression column subject to combined loadings by the flowing coordinate system and phased integration method.The formulations for the neutral axis,stress,strain and displacement were ...

Analysis of Thermal-Elastic Coupling Vibration of Large Deflection Cylindrical Shell

SHU Xue-feng, LAN Jiao-xia, WU Yong-zhong

2004, 25(9): 910-916.

Abstract(2411) PDF(646)

Abstract:
The governing equation and energy equations for thermal-elastic coupling vibration of cylindrical shell were developed.The Garlerkin method was used in numerical process.Some useful result can be concluded from numerical result.With the increase of the amplitude of temperature and coupling coefficie...

Steady-State Responses and Their Stability of Nonlinear Vibration of an Axially Accelerating String

WU Jun, CHEN Li-qun

2004, 25(9): 917-926.

Abstract(3101) PDF(778)

Abstract:
The steady-state transverse vibration of an axially moving string with geometric nonlinearity was investigated.The transport speed was assumed to be a constant mean speed with small harmonic variations.The nonlinear partial-differential equation that governs the transverse vibration of the string wa...

AINV and BILUM Preconditioning Techniques

GU Tong-xiang, CHI Xue-bin, LIU Xing-ping

2004, 25(9): 927-934.

Abstract(2876) PDF(1035)

Abstract:
It was proposed that a robust and efficient parallelizable preconditioner for solving general sparse linear systems of equations,in which the use of sparse approximate inverse(AINV) techniques in a multi-level block ILU (BILUM) preconditioner were investigated.The resulting preconditioner re tains r...

Analysis of Dynamic Instability of Interfacial Slip Waves Based on the Surface Impedance Tensor

LI Nan, WANG Yue-sheng, YU Gui-lan

2004, 25(9): 935-942.

Abstract(2549) PDF(615)

Abstract:
A new method relying on the Stroh formulism and the theory of the surface impedance tensor was developed to investigate the dynamic instability of interfacial slip waves.The concept of the surface impedance tensor was extended to the case where the wave speed is of a complex value,and the boundary c...

Analysis of the Localization of Damage and the Complete Stress-Strain Relation for Mesoscopic Heterogeneous Rock Under Uniaxial Tensile Loading

ZHOU Xiao-ping, WANG Jian-hua, ZHANG Yong-xing, HA Qiu-ling

2004, 25(9): 943-950.

Abstract(2549) PDF(543)

Abstract:
The mechanical behavior of rock under uniaxial tensile loading is different from that of rock under compressive loads.A micromechanics-based model was proposed for mesoscopic heterogeneous brittle rock undergoing irreversible changes of their microscopic structures due to microcrack growth.The compl...

Analysis of the Localization of Damage and the Complete Stress-Strain Relation for Mesoscopic Heterogeneous Brittle Rock Subjected to Compressive Loads

ZHOU Xiao-ping, WANG Jian-hua, ZHANG Yong-xing, HA Qiu-ling

2004, 25(9): 951-957.

Abstract(2717) PDF(582)

Abstract:
A micromechanics-based model is established.The model takes the interaction among sliding cracks into account,and it is able to quantify the effect of various parameters on the localization condition of damage and deformation for brittle rock subjected to compressive loads.The closed-form explicit e...

Scattering of SH-Wave by Cracks Originating at an Elliptic Hole and Dynamic Stress Intensity Factor

LIU Dian-kui, CHEN Zhi-gang

2004, 25(9): 958-966.

Abstract(2964) PDF(700)

Abstract:
The method of complex function and the method of Green's function are used to investigate the problem of SH-wave scattering by radial cracks of any limited length along the radius originating at the boundary of an elliptical hole,and the solution of dynamic stress intensity factor at the crack tip w...

Squeeze Flow of a Second-Order Fluid Between Two Parallel Disks or Two Spheres

XU Chun-hui, HUANG Wen-bin, XU Yong

2004, 25(9): 967-973.

Abstract(2893) PDF(658)

Abstract:
The normal viscous force of squeeze flow between two arbitrary rigid spheres with an interstitial second-order fluid was studied for modeling wet granular materials using the discrete element method.Based on the Reynolds.lubrication theory,the small parameter method was introduced to approximately a...

Mathematical Models Arising From a Survey of Ferromagnetic Materials Under Magnetisation

GU Xiao-an, ZENG Jin, SHEN Rong-ying

2004, 25(9): 974-982.

Abstract(2750) PDF(764)

Abstract:
Sinusoidal alternating magnetic fields established inside the cores would cause vibrations of silicon steel sheets and make noises.The mechanical behavior of ferromagnetic materials must be modeled for such complicated problems.Mathematical models describing the mechanical behavior of ferromagnetic ...

Elastic-Viscoplastic Fieds Near The Tip of a Propagating Crack Under Anti-Plane Shear

LI Fan-chun, ZHAO Wen-sheng, TANG Long-sheng

2004, 25(9): 983-990.

Abstract(2434) PDF(599)

Abstract:
The elastic-viscoplastic model proposed by Bingham was used to alalyse the stress and strain surrounding the tip of a propagating crack under antiplane shear.The proper displacement pattern was given;the asymptotic equations were derived and solved numerically.The analysis and calculation show that ...