应用数学和力学

2001 Vol. 22, No. 5

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Study on the Prediction Method of Low-Dimension Time Series That Arise From the Intrinsic Nonlinear Dynamics

MA Jun-hai, CHEN Yu-shu

2001, 22(5): 441-448.

Abstract(2657) PDF(701)

Abstract:
The prediction methods and its applications of the nonlinear dynamic systems determined from chaotic time series of low dimension are discussed mainly.Based on the work of the foreign researchers,the chaotic time series in the phase space adopting one kind of nonlinear chaotic model were reconstruct...

Influences of Slope Gradient on Soil Erosion

LIU Qing-quan, CHEN LI, LI Jia-chun

2001, 22(5): 449-457.

Abstract(2613) PDF(817)

Abstract:
The main factors influencing soil erosion include the net rain excess,the water depth,the velocity,the shear stress of overland flows,and the erosion-resisting capacity of soil.The laws of these factors varying with the slope gradient were investigated by using the kinematic wave theory.Furthermore,...

A New Completely Integrable Liouville’s System, Its Lax Representation and Bi-Hamiltonian Structure

FAN En-gui, ZHANG Hong-qing

2001, 22(5): 458-464.

Abstract(2527) PDF(1292)

Abstract:
A new isospectral problem and the corresponding hierarchy of nonlinear evolution equations is presented.As a reduction,the well-known MKdV equation is obtained.It is shown that the hierarchy of equations is integrable in Liouville's sense and possesses Bi-Hamiltonian structure.Under the constraint b...

Forces and Moments of the Liquid Finite Amplitude Sloshing in a Liquid-Solid Coupled System

GOU Xing-yu, LI Tie-shou, MA Xing-rui, WANG Ben-li

2001, 22(5): 465-476.

Abstract(2744) PDF(593)

Abstract:
Nonlinear coupling dynamics between a spring-mass system and a finite amplitude sloshing system with liquid in a cylindrical tank is investigated.Based on a group of nonlinear coupling equations of six degrees of freedoms,analytical formulae of forces and moments of the liquid large amplitude sloshi...

Auto-Darboux Transformation and Exact Solutions of the Brusselator Reaction Diffusion

YAN Zhen-ya, ZHANG Hong-qing

2001, 22(5): 477-482.

Abstract(2592) PDF(827)

Abstract:
Firstly,using the improved homogeneous balance method,an auto-Darboux transformation(ADT) for the Brusselator reaction diffusion model is found.Based on the ADT,several exact solutions are obtained which contain some authors.results known.Secondly,by using a series of transformations,the model is re...

The Crack-Inclusion Interaction and the Analysis of Singularity for the Horizontal Contact

TAO Fang-ming, TANG Ren-ji

2001, 22(5): 483-492.

Abstract(2638) PDF(519)

Abstract:
Using the basic solutions of a single crack and a single inclusion,and making use of the principle of linear superposition of elastic mechanics,the interaction problem between a planar crack and a flat inclusion in an elastic solid is studied.The problem is reduced to solve a set of standard Cauchy-...

A Computational Method for Interval Mixed Variable Energy Matrices in Precise Integration

GAO Suo-wen, WU Zhi-gang, WANG Ben-li, MA Xing-rui

2001, 22(5): 493-498.

Abstract(2334) PDF(502)

Abstract:
To solve the Riccati equation of LQ control problem,the computation of interval mixed variable energy matrices is the first step.Taylor expansion can be used to compute the matrices.According to the analogy between structural mechanics and optimal control and the mechanical implication of the matric...

Fixed Points on Two Complete and Compact Metric Spaces

M. Telci

2001, 22(5): 499-503.

Abstract(2339) PDF(937)

Abstract:
By using functions,some related fixed point theorems on two metric spaces are established.These results generalize some theorems of Fisher.

Uniform Analytic Construction of Wavelet Analysis Filters Based on Sine and Cosine Trigonometric Functions

LI Jian-ping, TANG Yuan-yan, YAN Zhong-hong, ZHANG Wan-ping

2001, 22(5): 504-518.

Abstract(2652) PDF(868)

Abstract:
Based on sine and cosine functions,the compactly supported orthogonal wavelet filter coefficients with arbitrary length are constructed for the first time.When N=2^k-1 and N=2k,the unified analytic constructions of orthogonal wavelet filters are put forward,respectively.The famous Daubechies filter a...

A 1/3 Pure Subharmonic Solution and Transient Process for the Duffing’s Equation

XU Yu-xiu, BAO Wen-bo, W.Schiehlen, HU Hai-yan

2001, 22(5): 519-524.

Abstract(2216) PDF(564)

Abstract:
The 1/3 subharmonic solution for the Duffing s equation is investigated by using the methods of harmonic balance and numerical integration.The sensitivity of parameter variation for the transient process and the transient process for the perturbance initial conditions are studied.Over and above,the ...

[0,k_i]₁^m-Factorizations Orthogonal to a Subgraph

MA Run-nian, XU Jin, GAO Hang-shan

2001, 22(5): 525-528.

Abstract(1788) PDF(562)

Abstract:
Let G be a graph,k₁,…,k_m be positive integers.If the edges of graph G can be decom- posed into some edge disjoint [0,k₁]-factor F₁…,[0,k_m]-factor F_m then we can say F={F₁,…,F_m},is a [0,k_i]₁^m-factorization of G.If H is a subgraph with m edges in graph G and |E(H)∩E(F_i)|=1 for all 1≤i≤m,then we can ca...

Probability Inequalities for Sums of Independent Unbounded Random Variables

ZHANG Di-xin, WANG Zhi-cheng

2001, 22(5): 529-533.

Abstract(2417) PDF(943)

Abstract:
The tail probability inequalities for the sum of independent undbounded random variables on a probability space(Ω,T,P) were studied and a new method was proposed to treat the sum of independent unbounded random variables by truncating the original probability space(Ω,T,P).The probability exponential...

Convergence of a Modified SLP Algorithm for the Extended Linear Complementarity Problem

XIU Nai-hua, GAO Zi-you

2001, 22(5): 534-540.

Abstract(2215) PDF(568)

Abstract:
A modified sequential linear programming algorithm is presented,whose subproblem is always solvable,for the extended linear complementarity problem(XLCP),the global convergence of the algorithm under assumption of X-row sufficiency or X-column monotonicity is proved.As a result,a sufficient conditio...

Locking-Free Degenerated Isoparametric Shell Element

ZHANG Xiang-ming, WANG An-wen, HE Han-lin

2001, 22(5): 541-549.

Abstract(2514) PDF(522)

Abstract:
An 8-noded locking-free degenerated isoparametric shell element is presented.A revised interpolation for shear strain terms was constructed in natural co-ordinate system such that all necessary modes (translation,rotation and constant curvature) are preserved,which can be used to eliminate shear loc...

2001, 22(5): 550-550.

Abstract(1552) PDF(426)

Abstract: