应用数学和力学

2005 Vol. 26, No. 3

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Nonlinear Natural Frequency of Shallow Conical Shiells With Variable Thickness

WANG Xin-zhi, HAN Ming-jun, ZHAO Yong-gang, YEH Kai-yuan

2005, 26(3): 253-258.

Abstract(3046) PDF(620)

Abstract:
The nonlinear dynamical variation equation and compatible equation of the shallow conical shell with variable thickness are obtained by the theory of nonlinear dynamical variation equation and compatible equation of the circular thin plate with variable thickness. Assuming the thin film tension is c...

Exponential Attractor for the Generalized Symmetric Regularized Long Wave Equation With Damping Term

SHANG Ya-dong, GUO Bo-ling

2005, 26(3): 259-266.

Abstract(2600) PDF(923)

Abstract:
The global fast dynamics for the generalized symmetric regularized long wave equation with damping term is considered. The squeezing property of the nonlinear semi-group associated with this equation and the existence of exponential attractor are proved. The upper bounds of its fractal dimension are...

Scaling Exponents in Fully Developed Asymmetric Channel Flow

JIANG Jian-bo, QIU Xiang, LU Zhi-ming, LIU Yu-lu

2005, 26(3): 267-273.

Abstract(2582) PDF(632)

Abstract:
Wavelet analysis is applied to study the global and local scaling exponents in fully developed asymmetric channel flow. Global exponents are calculated by orthogonal wavelets and Extended Scaling Similarity(ESS). The results show that the flow in an asymmetric channel flow exhibits different charact...

Investigation of the Dynamic Buckling of Doublewalled Carbon Nanotube Subjected to Axial Periodic Disturbing Forces

SHA Feng-huan, ZHAO Long-mao, YANG Gui-tong

2005, 26(3): 274-280.

Abstract(2734) PDF(538)

Abstract:
The dynamic response of a double-walled carbon nanotube embedded in elastic medium subjected to periodic disturbing forces is investigated. Investigation of the dynamic buckling of a double-walled carbon nanotube develops continuum model. The effect of the van der Waals forces between two tubes and ...

Effects of Tensor Closure Models and 3-D Orientation on the Stability of Fiber Suspensions in a Channel Flow

YOU Zhen-jiang, LIN Jian-zhong

2005, 26(3): 281-286.

Abstract(2957) PDF(542)

Abstract:
Three different kinds of closure model of fiber orientation tensors were applied to simulate numerically the hydrodynamic stability of fiber suspensions in a channel flow. The effects of closure models and three-dimensional (3-D) orientation distribution of fibers on the results of stability analysi...

Renewal of Basic Laws and Principlesfor Polar Continuum Theories (Ⅷ)——Principle of Total Work and Energy

DAI Tian-min

2005, 26(3): 287-292.

Abstract(2599) PDF(835)

Abstract:
Theoretical incompleteness of the existing conservation laws of energy for polar continuum mechanics is further clarified. For completeness, the principles of total work and energy and of total work and energy of incremental rate type are postulated. Viatotal variations of the former and the latter ...

Effect of Damage on Nonlinear Dynamic Properties of Viscoelastic Rectangular Plates

ZHENG Yu-fang, FU Yi-ming

2005, 26(3): 293-299.

Abstract(2632) PDF(671)

Abstract:
The nonlinear dynamic behaviors of viscoelastic rectangular plates including the damage effects under the action of a transverse periodic load were studied. Using the von Karman equations, Boltzmann superposition principle and continuum damage mechanics, the nonlinear dynamic equations in terms of t...

Global Dynamics of Delayed Bidirectional Associative Memory (BAM) Neural Networks

ZHOU Jin, LIU Zeng-rong, XIANG Lan

2005, 26(3): 300-308.

Abstract(2995) PDF(947)

Abstract:
Without assuming the smoothness, monotonicity and boundedness of the activation functions, some novel criteria on the existence and global exponential stability of equilibrium point for delayed bidirectional associative memory (BAM) neural networks are established by applying the Liapunov functional...

Analytical Solutions for Elastostatic Problems of Particle- and Fiber-Reinforced Composites With Inhomogeneous Interphases

DUAN Hui-ling, WANG Jian-xiang, HUANG Zhu-ping, HUANG Hong-bo

2005, 26(3): 309-315.

Abstract(2856) PDF(783)

Abstract:
By transforming the governing equations for displacement components into Riccati equations, analytical solutions for displacements, strains and stresses for RVEs of particle- and fiber-reinforced composites containing inhomogeneous interphases were obtained. The analytical solutions derived here are...

Performance Modeling and Analyis of Blood Flow in Elastic Arteries

Anil Kumar, C. L. Varshney, G. C. Sharma

2005, 26(3): 316-324.

Abstract(3440) PDF(1014)

Abstract:
Two different non-Newtonian models for blood flow are considered, first a simple power law model displaying shear thinning viscosity, and second a generalized Maxwell model displaying both shear thinning viscosity and oscillating flow viscous-elasticity. These models are used along with a Newtonian ...

Study on Coupling Model of Seepage-Field and Stress-Field for RCCD

GU Chong-shi, SU Huai-zhi, ZHOU Hong

2005, 26(3): 325-332.

Abstract(2369) PDF(721)

Abstract:
Based on the construction interfaces in RCCD, the methods were proposed to calculate the influence thickness of construction interfaces and the corresponding physical mechanics parameters. The principle on establishing the coupling model of seepage-field and stress-field for RCCD was presented. A 3-...

Adaptive Interval Wavelet Precise Integration Method for Partial Differential Equations

MEI Shu-li, LU Qi-shao, ZHANG Sen-wen, JIN Li

2005, 26(3): 333-340.

Abstract(3037) PDF(1364)

Abstract:
The quasi-shannon interval wavelet is constructed based on the interpolation wavelet theory, and an adaptive precise integration method, which is based on extrapolation method is presented for nonlinear ODEs. And then, an adaptive interval wavelet precise integration method (AIWPIM) for nonlinear PD...

Global Asymptotic Stability Conditions of Delayed Neural Networks

ZHOU Dong-ming, CAO Jin-de, ZHANG Li-ming

2005, 26(3): 341-348.

Abstract(2802) PDF(939)

Abstract:
Utilizing the Liapunov functional method and combining the inequality of matrices technique to analyze the existence of a unique equilibrium point and the global asymptotic stability for delayed cellular neural networks (DCNNs), a new sufficient criterion ensuring the global stability of DCNNs is ob...

Forming Michell Truss in Therr-Dimensions by Finite Element Method

ZHOU Ke-min, LI Jun-feng

2005, 26(3): 349-355.

Abstract(3606) PDF(985)

Abstract:
The finite element method to form Michell truss in three-dimensions is presented. The orthotropic composite with fiber-reinforcement is employed as the material model to simulate Michell truss. The orientation and densities of fibers at nodes are taken as basic design variables. The stresses and str...

Hamiltonian Symplectic Semi-Analytical Method and Its Application in Inhomogeneous Electromagnetic Waveguides

SUN Yan, XIE Jun

2005, 26(3): 356-362.

Abstract(2819) PDF(597)

Abstract:
Dual vectors are applied in Hamilton system of applied mechanics. Electric and magnetic field vectors are the dual vectors in electromagnetic field. The Hamilton system method is introduced into the analysis of electromagnetism waveguide with inhomogeneous materials. The transverse electric and magn...

New Variational Inequality Formulation for Seepage Problems With Free Surfaces

ZHENG Hong, LIU De-fu, LEE C. F., THAM L. G.

2005, 26(3): 363-371.

Abstract(2530) PDF(760)

Abstract:
A new variational inequality formulation for seepage problems with free surfaces was presented, in which a boundary condition of Signorini's type was prescribed over the potential seepage surfaces. This made the singularity of seepage points eliminated and the location of seepage points determined. ...

Interactions Between Two Sedimenting Particles With Different Sizes

SHAO Xue-ming, LIU Yang, YU Zhao-sheng

2005, 26(3): 372-378.

Abstract(2565) PDF(687)

Abstract:
An improved implementation of Distributed Lagrange multiplier/fictitious domain method was presented and used to simulate the interactions between two circular particles sedimenting in a two-dimensional channel. The simulation results were verified by comparison with experiments. The results show th...