应用数学和力学

2004 Vol. 25, No. 6

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Study on Prediction Methods for Dynamic Systems of Nonlinear Chaotic Time Series

MA Jun-hai, CHEN Yu-shu, XIN Bao-gui

2004, 25(6): 551-557.

Abstract(3021) PDF(646)

Abstract:
The prediction methods for nonlinear dynamic systems which are decided by chaotic time series are mainly studied as well as structures of nonlinear self-related chaotic models and their dimensions. By combining neural networks and wavelet theories, the structures of wavelet transform neural networks...

Stress Field at a Tip of a Prefabricated Spiral V-Notch

ZHENG Zhou-lian, CHEN Shan-lin, YE Xiao-ming

2004, 25(6): 558-562.

Abstract(2804) PDF(499)

Abstract:
Based on the tranditional V-notched blasting, a technique of spirally V-notched blasting to loosen earth and rock was presented. Fracture mechanics and Westergaard stress function were adopted to build a complex stress function to derive the plane stress and strain fields at one tip of the crack und...

Nonempty Intersection Theorems and System of Generalized Vector Equilibrium Problems in Product G-Convex Spaces

DING Xie-ping

2004, 25(6): 563-571.

Abstract(2720) PDF(740)

Abstract:
By using an existence theorems of maximal elements for a family of set-valued mappings in G-convex spaces due to the author, some new nonempty intersection theorems for a family of set-valued mappings were established in noncompact product G-convex spaces. As applications, some equilibrium existence...

Multi-Valued Quasi Variational Inclusions in Banach Spaces

ZHANG Shi-sheng

2004, 25(6): 572-580.

Abstract(2827) PDF(690)

Abstract:
The purpose is to introduce and study a class of more general multivalued quasi variational inclusions in Banach spaces. By using the resolvent operator technique some existence theorem of solutions and iterative approximation for solving this kind of multivalued quasi variational inclusions are est...

Study on the Adjoint Method in Data Assimilation and the Related Problems

LÜ Xian-qing, WU Zi-ku, GU Yi, TIAN Ji-wei

2004, 25(6): 581-590.

Abstract(2995) PDF(862)

Abstract:
It is not reasonable that one can only use the adjoint of model in data assimilation. The simulated numerical experiment shows that for the tidal model, the result of the adjoint of equation is almost the same as that of the adjoint of model: the averaged absolute difference of the amplitude between...

Interaction of Viscous Wakes With a Free Surface

LU Dong-qiang

2004, 25(6): 591-598.

Abstract(3335) PDF(697)

Abstract:
The interaction of laminar wakes with free-surface waves generated by a moving body beneath the surface of an incompressible viscous fluid of infinite depth was investigated analytically. The analysis was based on the steady Oseen equations for disturbed flows. The kinematic and dynamic boundary con...

Characteristic Analysis for Stress Wave Propagation in Transversely Isotropic Fluid-Saturated Porous Media

LIU Ying, LIU Kai-xin

2004, 25(6): 599-606.

Abstract(3016) PDF(722)

Abstract:
According to generalized characteristic theory, a characteristic analysis for stress wave propagation in transversely isotropic fluid-saturated porous media was performed. The characteristic differential equations and compatibility relations along bicharacteristics were deduced and the analytical ex...

Nonlinear Transient Response of Stay Cable With Viscoelasticity Damper in Cable-Stayed Bridge

CHEN Shui-sheng, SUN Bing-nan, FENG Yi-qing

2004, 25(6): 607-613.

Abstract(3014) PDF(594)

Abstract:
Taking the bending stiffness, static sag, and geometric non-linearity into consideration, the space nonlinear vibration partial differential equations were derived. The partical differential equations were discretized in space by finite center difference approximation, then the nonlinear ordinal dif...

Theoretical Analysis on Hydraulic Transient Resulted by Sudden Increase of Inlet Pressure for Laminar Pipeline Flow

DENG Song-sheng, ZHOU Shao-qi, LIAO Zhen-fang, QIU Zheng-yang, ZENG Shun-peng

2004, 25(6): 614-620.

Abstract(3078) PDF(528)

Abstract:
Hydraulic transient, which is resulted from sudden increase of inlet pressure for laminar pipeline flow, is studied. The partial differential equation, initial and boundary conditions for transient pressure were constructed, and the theoretical solution was obtained by variable-separation method. Th...

Mid-Facets of a Simplex

LI Xiao-yan, HE Bin-wu, LENG Gang-song

2004, 25(6): 621-626.

Abstract(2435) PDF(798)

Abstract:
The mid-facet of a simplex in n-dimensional Euclidean space which was introduced quite recently is an important geometric element. An analytic expression for the mid-facet area of a simplex is firstly given. In order to obtain the expression, the exterior differential method was presented. Furthermo...

Global Stability Analysis in Cellular Neural Networks With Unbounded Time Delays

ZHANG Ji-ye

2004, 25(6): 627-634.

Abstract(2546) PDF(719)

Abstract:
Without assuming the boundedness and differentiability of the activation functions, the conditions ensuring existence, uniqueness, and global asymptotical stability of the equilibrium point of cellular neural networks with unbounded time delays and variable delays were studied. Using the idea of vec...

Streamline-Based Mathematical Model for CO₂ Miscible Flooding

HOU Jian

2004, 25(6): 635-642.

Abstract(3289) PDF(688)

Abstract:
According to the research theory of improved black oil simulator, a practical mathematical model for CO₂ miscible flooding was presented. In the model, the miscible process simulation was realized by adjusting oil/gas relative permeability and effective viscosity under the condition of miscible flow...

Global Existence and Blow-up Phenomena of Classical Solutions for the System of Compressible Adiabatic Flow Through Porous Media

LIU Fa-gui, KONG De-xing

2004, 25(6): 643-652.

Abstract(3341) PDF(854)

Abstract:
By means of maximum principle for nonlinear hyperbolic systems, the results given by HSIAO Ling and D. Serre was improved for Cauchy problem of compressible adiabatic flow through porous media, and a complete result on the global existence and the blow-up phenomena of classical solutions of these sy...

Prediction of Mode Ⅰ Crack Propagation Direction in Carbon-Fiber Reinforced Composite Plate

ZHANG Shao-qin, YANG Wei-yang

2004, 25(6): 653-660.

Abstract(2613) PDF(588)

Abstract:
A newly developed Z fracture criterion for the composite materials was introduced, the new concepts of in-plane average strain, in-plane dilatational strain energy density factor and reciprocal characteristic function were presented. Many experimental results show that the Z fracture criterion can b...