应用数学和力学

2002 Vol. 23, No. 5

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Second Order Approximation Solution of Nonlinear Large Deflection Problem of Yongjiang Railway Bridge in Ningbo

CHIEN Wei-zang

2002, 23(5): 441-451.

Abstract(7606) PDF(4196)

Abstract:
The solution and computational aspects on nonlinear deflection of Yongjiang Railway Bridge in Ningbo were investigated.An approximate iteration algorithm on nonlinear governing equation was presented,and the obtained results show that,if altitude difference and span of the riverbanks are taken as 5 ...

2002, 23(5): 452-452.

Abstract(1802) PDF(639)

Abstract:

Dynamic Response of Plates Due to Moving Vehicles Using Finite Strip Method

CHENG Yuan-sheng, Y K CHEUNG, F T KAU

2002, 23(5): 453-458.

Abstract(2520) PDF(606)

Abstract:
Dynamic response of beam-like structures to moving vehicles has been extensively studied.However,the study on dynamic response of plates to moving vehicles has so far received but scant attention.A plate-vehicle strip for simulating the interaction between a rectangular plate and moving vehicles was...

The Three-Dimensional Fundamental Solution to Stokes Flow in the Oblato Spheroidal Coordinates With Applications to Multiple Spheroid Problems

ZHUANG Hong, YAN Zong-yi, WU Wang-yi

2002, 23(5): 459-476.

Abstract(3160) PDF(741)

Abstract:
A new three-dimensional fundamental solution to the Stokes flow was proposed by transforming the solid harmonic functions in Lamb.s solution into expressions in terms of the oblate spheroidal coordinates.These fundamental solutions are advantageous in treating flows past an arbitrary number of arbit...

Classification of Bifurcations for Nonlinear Dynamical Problems With Constraints

WU Zhi-qiang, CHEN Yu-shu

2002, 23(5): 477-482.

Abstract(2884) PDF(751)

Abstract:
Bifurcation of periodic solutions widely existed in nonlinear dynamical systems is a kind of constrained one in intrinsic quality because its amplitude is always non-negative.Classification of the bifurcations with the type of constraint was discussed.All its six types of transition sets are derived...

Research on the Effect of Cylinder Particles on the Turbulent Properties in Particulate Flows

LIN Jian-zhong, LIN Jiang, SHI Xing

2002, 23(5): 483-488.

Abstract(2481) PDF(635)

Abstract:
The fluid fluctuating velocity equations which include the term of cylinder particles were established.The turbulent intensity and Reynolds stress of fluid were obtained by averaging fluctuating velocity based on the solution of the fluctuating velocity equations.Above approach was used to solve the...

Localized Coherent Structures of the(2+1)-Dimensional Higher Order Broer-Kaup Equations

ZHANG Jie-fang, LIU Yu-lu

2002, 23(5): 489-496.

Abstract(2294) PDF(669)

Abstract:
By using the extended homogeneous balance method,the localized cohernet structures are studied.A nonlinear transformation was first established,and then the linearization form was obtained based on the extended homogeneous balance method for the higher order(2+1)-dimensional Broer-Kaup equations.Sta...

The Concave or Convex Peaked and Smooth Soliton Solutions of Camassa-Holm Equation

TIAN Li-xin, XU Gang, LIU Zeng-rong

2002, 23(5): 497-506.

Abstract(2910) PDF(737)

Abstract:
The traveling wave soliton solutions and pair soliton solution to a class of new completely integralbe shallow water equation,Camassa-Holm equation are studied.The concept of concave or convex peaked soliton and smooth soliton were introduced.And the research shows that the traveling wave solution o...

Set-Valued Extension of Operators via Steiner Selections(Ⅰ)-Theoretical Results

TERAN PEDRO, L PEZ-D1AZ MIGUEL

2002, 23(5): 507-517.

Abstract(2278) PDF(730)

Abstract:
A way to extend operators in spaces of continuo us functions to spaces of continuo us set-valued functions is proposed.This extension is developed through the Steiner selections of the set-valued functions.Their properties and chara cteristics of the convergence of sequences of operators of this cla...

Set-Valued Extension of Operators via Steiner Selections(Ⅱ)-Applications to Approximation

TERAN Pedro, L PEZ-DIAZ MIGUEL

2002, 23(5): 518-525.

Abstract(2035) PDF(565)

Abstract:
On the basis of Part(Ⅰ) of this series some applications to the approximation of set-valued functions are obtained: Korovkin type theorems,a method to extend classical approximation operators to the set-valued setting and a Jackson type estimate.

The Properties of a Kind of Random Symplectic Matricess

YAN Qing-you

2002, 23(5): 526-532.

Abstract(2426) PDF(683)

Abstract:
Several important properties of a kind of random symplectic matrix used by A.Bunse-Gerstner and V.Mehrmann are studied and the following results are obtained: 1) It can be transformed to Jordan canonical form by orthogonal similar transformation.2) Its condition unmber is a constant.3) The condition...

Buckling Analysis of Woven Fabric Under Uniaxial Tension in Arbitrary Direction

ZHANG Yi-tong, XU Jia-fu

2002, 23(5): 533-540.

Abstract(2250) PDF(679)

Abstract:
The buckling of a fabric sheet subjected to a uniaxial tension in a direction making arbitrary angle,θ(0<θ<90°) say,with respect to that of warp is investigated.The equation to determine the buckling direction angle,B say,was obtained and,as illustration,the solution curves of the equation for...

Proper Application of a Kind of Matrix Construction Method in Physical Parameter Identification of Dynamic Model

LI Shu, ZHANG Fang, WANG Bo, ZHANG Xiao-gu

2002, 23(5): 541-547.

Abstract(3182) PDF(642)

Abstract:
The expressions of matrix construction by using the singular value decomposition(SVD) are applied to the physics parameter identification of dynamic model.Then,based upon to the characteristics of a kind of matrix construction method,the orders of the parameter identification model can be reduced.Af...

On the Isometric Isomorphism of Probabilistic Metric Spaces

LIU Ming-xue

2002, 23(5): 548-550.

Abstract(3428) PDF(931)

Abstract:
There are two kinds of isometric isomorpism in probabilistic meteric space theory.The first is that a PM space(E,F) is isometrically isomorphic to another PM space(E,F),and the second is that a PM space(E,F) is isometrically isomorphic to a generating space of quasi-metric family(E,d_r,r(0,1)).This p...