应用数学和力学

2002 Vol. 23, No. 9

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Unsymmetrical Large Deformation Problem of Orthotropic Plates

WANG Xin-zhi, ZHAO Yong-gang, YEH Kai-yuan, HUANG Da-wen

2002, 23(9): 881-888.

Abstract(2669) PDF(803)

Abstract:
Based upon the theory of anisotropic plates, the unsymmetrical large deformation equations of orthotropic circular plates were derived. By using Fourier series, the partial differential equations of this problem can be transformed into sets of non-linear differential equations. And the procedure to ...

Convergence of Ishikawa Type Iterative Sequence With Errors for Quasi-Contractive Mappings in Convex Metric Spaces

TIAN You-xan, ZHANG Shi-sheng

2002, 23(9): 889-895.

Abstract(2498) PDF(731)

Abstract:
Some convergence theorems of Ishikawa type iterative sequence with errors for nonline ar general quasi-contractive mapping in convex metric spaces are proved. The results not only extend and improve the corre sponding results of L. B. Ciric, Q. H. Liu, H. E. Rho ades and H. K. Xu, at el but also giv...

A New Model of Shape Memory Alloys

ZHU Yi-guo, LÜ He-xiang, YANG Da-zhi

2002, 23(9): 896-902.

Abstract(2582) PDF(663)

Abstract:
A new constitutive model of shape memory alloys (SMAs) based on Tanaka's martensite fraction exponential expression is produced. This new model can present recoverable shape memory strain during different phase transformation, and reflect the action of martensite reorientation. Also it can overcome ...

The Drag Exerted by an Oblate Rotating Atmosphere on an Artificial Satellite

KH. I. Khalil

2002, 23(9): 903-914.

Abstract(2260) PDF(537)

Abstract:
A theory is formulated for the motion of an artificial satellite under the joint effects of Eearth oblateness and atmospheric drag. The Hamilton's equations of motion are derived including the zonal harmonics of the geopotential up to J₄ and the drag accelerations. The atmospheric model is an oblate...

Generalized Canonical Transformation and Symplectic Algorithm of the Autonomous Birkhoffian Systems

ZHANG Xing-wu, WU Ji-ke, ZHU Hai-ping, HUANG Ke-fu

2002, 23(9): 915-920.

Abstract(2762) PDF(564)

Abstract:
The Birkhoff systems are the generalization of the Hamiltonian systems. Generalized canonical transformations are studied. The symplectic algorithm of the Hamiltonian systems is extended into that of the Birkhoffian systems. Symplectic differential scheme of autonomous Birkhoffian systems was struct...

Experimental Study of Measurement for Dissipation Rate Scaling Exponent in Heated Wall Turbulence

JIANG Nan, WANG Yu-chun, SHU Wei, WANG Zhen-dong

2002, 23(9): 921-928.

Abstract(2356) PDF(684)

Abstract:
Experimental investigations were devoted to the study of scaling exponent of coarse grained dissipation rate structure function for velocity and temperature fluctuation in a turbulent boundary layer at moderate Reynolds number. Longitudinal velocity and temperature were measured at different vertica...

Application of Mechanized Mathematics to Rotor Dynamics

HU Chao, WANG Yan, WANG Li-guo, HUANG Wen-hu

2002, 23(9): 929-935.

Abstract(2563) PDF(592)

Abstract:
Based on the mechanize d mathematics and WU Wen-tsun elimination method, using oil film forces of short be aring model and Muszynska's dynamic model, the dynamical behavior of rotor-bearing system and its stability of motion are investigated. As example, the concept of Wu characteristic set and Mapl...

Fuzzy Arithmetric and Solving of the Static Governing Equations of Fuzzy Finite Element Method

GUO Shu-xiang, LÜ Zheng-zhou, FENG Li-fu

2002, 23(9): 936-942.

Abstract(2550) PDF(628)

Abstract:
The key component of finite element analysis of structures with fuzzy parameters, which is associated with handling of some fuzzy information and arithmetic relation of fuzzy variables, was the solving of the governing equations of fuzzy finite element method. Based on a given interval representatio...

The Wavelet Transform of Periodic Function and Nonstationary Periodic Function

LIU Hai-feng, ZHOU Wei-xing, WANG Fu-chen, GONG Xin, YU Zun-hong

2002, 23(9): 943-950.

Abstract(2626) PDF(508)

Abstract:
Some properties of the wavelet transform of trigonometric function, periodic function and nonstationary periodic function have been investigated. The results show that the peak height and width in wavelet energy spectrum of a periodic function are in proportion to its period. At the same time, a new...

Analysis of Nonlinear Dynamic Stability of Liquid-Conveying Pipes

ZHANG Li-xiang, HUANG Wen-hu

2002, 23(9): 951-960.

Abstract(3015) PDF(746)

Abstract:
Nonlinearly dynamic stability of flexible liquid-conveying pipe in fluid structure interaction was analyzed by using modal disassembling technique. The effect of Poisson, Junction and Friction couplings in the wave-flowing-vibration system on the pipe dynamic stability were included in the analytica...

An Improved Arc-Length Method and Application in the Post-Buckling Analysis for Composite Structures

ZHU Ju-fen, CHU Xiao-ting

2002, 23(9): 961-967.

Abstract(3137) PDF(1114)

Abstract:
Based on the conventional arc-length method, an improved arc-length method with high-efficiency is proposed. The weighted modifications with respect to the variation of structural stiffness and extra-interpolation modification by using the information of known equilibrium points are introduced to im...

Numerical Study on the Flow Around a Circular Cylinder With Surface Suction or Blowing Using Vorticity-Velocity Method

LING Guo-ping, FANG Jian-wen

2002, 23(9): 968-974.

Abstract(2643) PDF(568)

Abstract:
A vorticity-velocity method was used to study the incompressible viscous fluid flow around a circular cylinder with surface suction or blowing. The resulted high order implicit difference equations were effeciently solved by the modified incomplete LU decomposition conjugate gradient scheme (MILU-CG...

A Fracture-Energy-Based Elasto-Softening-Plastic Constitutive Model for Joints of Geomaterials

SHEN Xin-pu, SHEN Guo-xiao

2002, 23(9): 975-981.

Abstract(2733) PDF(457)

Abstract:
On the basis of plasticity and fracture mechanics for quasi-brittle materials, this article presented a constitutive model for gradual softening behavior of joints of geomaterials. Corresponding numerical tests are carried out at the local level. Characteristics of the model proposed are:1) plastic ...

Lie Symmetries and Conserved Quantities of Second-Order Nonholonomic Mechanical System

FANG Jian-hui

2002, 23(9): 982-986.

Abstract(2903) PDF(746)

Abstract:
The Lie symmetries and the conserved quantities of the second-order nonholonomic mechanical system are studied. Firstly, by using the invariance of the differential equation of motion under the infinitesimal transformations, the determining equations and the restriction equations of the Lie symmetri...

A Weighted Norm Inequality for Thela(t)-Type Oscillatory Singular Integrals

ZHAO Kai, WANG Mei, WANG Chun-jie

2002, 23(9): 987-990.

Abstract(2562) PDF(702)

Abstract:
The theta(t)-type oscillatory singular integral operators has been discussed. With the non-negative Locally integrable weighted funciton, the weighted norm inequalityof theta(t)-type oscillatory singular integral operators is proved, and the weighted function has replaced by action of Hardy-Littlewo...