应用数学和力学

2003 Vol. 24, No. 9

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Analysis of Elastic Layers with Dilative Eigenstrains Varying Through the Thickness

HE Ling-hui, LIM Chee-wah, LIU Ren-huai

2003, 24(9): 881-891.

Abstract(2214) PDF(625)

Abstract:
Elastic layers with varying dilative eigenstrains through the thickness were concerned. A general procedure was proposed for the analysis of such layers under arbitrary loads. The study is based on the state-space method and an asymptotic expansion technique. When the external loads are uniform, the...

Cavity Formation at the Center of a Sphere Composed of Two Compressible Hyper-Elastic Materials

REN Jiu-sheng, CHENG Chang-jun, ZHU Zheng-you

2003, 24(9): 892-898.

Abstract(2336) PDF(625)

Abstract:
The cavitated bifurcation problem in a solid sphere composed of two compressible hyper-elastic materials under a uniform boundary radial stretch was examined. The solutions, including the trivial solution and the cavitated solutions, were obtained. The bifurcation curves and the stress contributions...

Maximal Elements for G_B-Majorized Mappings in Product G-Convex Spaces and Applications(Ⅱ)

DING Xie-ping

2003, 24(9): 899-905.

Abstract(2451) PDF(800)

Abstract:
By applying existence theorems of maximal elements for a family of G_B-majorized map-pings in a product space of G-convex spaces, some coincidence theorem, Fan-Browder type fixed point theorem and some existence theorems of solutions for a system of minimax inequalities are proved under noncompact se...

Suarface Effects of Internal Wave Generated by a Moving Source in a Two-Layer Fluid of Finite Depth

WEI Gang, LE Jia-Chun, DAI Shi-qiang

2003, 24(9): 906-918.

Abstract(2776) PDF(741)

Abstract:
Based on the potential flow theory of water waves, the interaction mechanism between the free-surface and internal waves generated by a moving point source in the lower layer of a two-layer fluid was studied. By virtue of the method of Green. s function, the properties of the divergence field at the...

Controllability of a Class of Hybrid Dynamic Systems(Ⅰ)—Basic Properties and Preliminary Results

XIE Guang-ming, WANG Long, YE Qing-kai

2003, 24(9): 919-928.

Abstract(2653) PDF(766)

Abstract:
The controllability for switched linear system with time-delay in controls was first investigated. The whole work contains three parts. This is the first part, including problem formulation and some preliminaries. First, the mathematical model of switched linear systems with time-delay in control fu...

Controllability of a Class of Hybrid Dynamic Systems(Ⅱ) Single Time-Delay Case

XIE Guang-ming, WANG Long, YE Qing-kai

2003, 24(9): 929-939.

Abstract(2731) PDF(670)

Abstract:
The controllability for switched linear systems with time-delay in controls is first investigated. The whole work contains three parts. This is the second part. The definition and determination of controllability of switched linear systems with single time-delay in control functions is mainly invest...

Controllability of a Class of Hybrid Dynamic Systems(Ⅲ)—Multiple Time-Delay Case

XIE Guang-ming, WANG Long, YE Qing-kai

2003, 24(9): 940-950.

Abstract(2525) PDF(518)

Abstract:
The controllability for switched linear systems with time-delay in controls is first investigated. The whole work contains three parts. This is the third part. The definition and determination of controllability of switched linear systems with multiple time-delay in control functions is mainly inves...

Numerical Simulation for Formed Projectile of Depleted Uranium Alloy

SONG Shun-cheng, GAO Ping, CAI Hong-nian

2003, 24(9): 951-955.

Abstract(2389) PDF(565)

Abstract:
The numerical simulation for forming projectile of depleted uranium alloy with the SPH (Smooth Particle Hydrodynamic) algorithm was presented. In the computations the artificial pressures of detonation were used, i. e. the spatial distribution and time distribution were given artificially. To descri...

Hybrid Finite Analytic Solutions of Shallow Water Circulation

HUAI Wen-xin, Y. Peter Sheng, T. Komatsu

2003, 24(9): 956-962.

Abstract(2403) PDF(542)

Abstract:
The hybrid finite analytic(HFA) method is a kind of numerical scheme in rectangular element. In order to simulate the shallow circulation in irregular bathymetry by HFA scheme, the model in sigma coordinate system was obtained. The model has been tested against three cases: 1) wind induced circulati...

Visco-Elastic Systems Under Both Deterministic and Bound Random Parametric Excitation

XU Wei, RONG Hai-wu, FANG Tong

2003, 24(9): 963-972.

Abstract(2887) PDF(496)

Abstract:
The principal resonance of a visco-elastic systems under both deterministic and random parametric excitation was investigated. The method of multiple scales was used to determine the equations of modulation of amplitude and phase. The behavior, stability and bifurcation of steady state response were...

Difference Scheme and Numerical Simulation Based on Mixed Finite Element Method for Natural Convection Problem

LUO Zhen-dong, ZHU Jiang, XIE Zheng-hui, ZHANG Gui-fang

2003, 24(9): 973-983.

Abstract(2717) PDF(499)

Abstract:
The non stationary natural convection problem is studied. A lowest order finite difference scheme based on mixed finite element method for non stationary natural convection problem, by the spatial variations discreted with finite element method and time with finite difference scheme was derived, whe...

Post-Buckling of a Cantilever Rod with Variable Cross-Sections Under Combined Load

WU Ying, LI Shi-rong, TENG Zhao-chun

2003, 24(9): 984-990.

Abstract(2300) PDF(602)

Abstract:
Based on the geometrically non-linear theory of axially extensible elastic rods, the governing equations of post-buckling of a clamped-free rod with variable cross-sections, subjected to a combined load, a concentrated axial load P at the free end and a non-uniformly distributed axial load q,are est...