应用数学和力学

2003 Vol. 24, No. 3

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Two-Mode Galerkin Approach in Dynamic Stability Analysis of Viscoelastic Plates

ZHANG Neng-hui, CHENG Chang-jun

2003, 24(3): 221-228.

Abstract(2880) PDF(674)

Abstract:
The dynamic stability of viscoelastic thin plates with large deflections was investigated by using the largest Liapunov exponent analysis and other mumerical and analytical dynamic methods.The material behavior was described in terms of the Boltzmann superposition principle.The Galerkin method was u...

Applications of Fractional Exterior Differential in Three-Dimensional Space

CHEN Yong, YAN Zhen-ya, ZHANG Hong-qing

2003, 24(3): 229-233.

Abstract(2393) PDF(807)

Abstract:
A brief survey of fractional calculus and fractional differential forms was firstly given.The fractional exterior transition to curvilinear coordinate at the origin were discussed and the two coordinate transformations for the fractional differentials for three-dimensional Cartesian coordinates to s...

Coexisting Periodic Orbits in Vibro-Impacting Dynamical Systems

LI Qun-hong, LU Qi-shao

2003, 24(3): 234-244.

Abstract(2475) PDF(625)

Abstract:
Abstract: A method is presented to seek for coexisting periodic orbits which may be stable or unstable in piecewise-linear vibro-impacting systems.The conditions for coexistence of single impact periodic orbits are derived, and in particular, it is investigated in details how to assure that no other...

The Effect of Magnetic Fields on Low Frequency Oscillating Natural Convection With Pressure Gradient

G. C. Sharma, Madhu Jain, Mahesh Chandra

2003, 24(3): 245-252.

Abstract(2374) PDF(600)

Abstract:
The oscillating natural convection in the presence of transverse magnetic field with time depending pressure gradient is studied.The analysis of the problem is carried out by assuming that the fluid is flowing in a parallel plate configuration.The emphasis is on low frequency oscillating convective ...

Bifurcation Analysis of a Mitotic Model of Frog Eggs

Lü Jin-hu, ZHANG Zi-fan, ZHANG Suo-chun

2003, 24(3): 253-266.

Abstract(2905) PDF(615)

Abstract:
The mitotic model of frog eggs established by Borisuk and Tyson is qualitatively analyzed.The existence and stability of its steady states are further discussed.Furthermore, the bifurcation of above model is further investigated by using theoretical analysis and numerical simulations.At the same tim...

Poisson Limit Theorem for Countable Markov Chains in Markovian Environments

FANG Da-fan, WANG Han-xing, TANG Mao-ning

2003, 24(3): 267-274.

Abstract(2665) PDF(749)

Abstract:
A countable Markov chain in a Markovian environment is considered.A Poisson limit theorem for the chain recurring to small cylindrical sets is mainly achieved.In order to prove this theorem,the entropy function h is introduced and the Shannon-McMillan-Breiman theorem for the Markov chain in a Markov...

Determination of Creep Parameters from Indentation Creep Experiments

YUE Zhu-feng, WAN Jian-song, Lü Zhen-zhou

2003, 24(3): 275-281.

Abstract(2924) PDF(777)

Abstract:
The possibilities of determining creep parameters for a simple Norton law material are explored from indentation creep testing.Using creep finite element analysis the creep indentation test technique is analyzed in terms of indentation rates at constant loads.Emphasis is placed on the relationships ...

Analysis of Disturbances Rejection for Lur’e Systems

HAO Fei, CHU Tian-guang, HUANG Lin

2003, 24(3): 282-288.

Abstract(2375) PDF(627)

Abstract:
The analysis of disturbance rejection for singe-input singe-output(SISO) Lur'e system with norm uncertainty was concerned through invariant set analysis using Lyapunov function method.The conditions on robust ellipsoidal attractor for uncertain Lur'e systems were given in terms of LMIs(Linear Matrix...

IMD Based Nonlinear Galerkin Method

HOU Yan-ren, LI Kai-tai

2003, 24(3): 289-299.

Abstract(2536) PDF(589)

Abstract:
By taking example of the 2D Navier-Stokes equations, a kind of improved version of the nonlinear galerkin method of Marion-Temam type based on the new concept of the inertial manifold with delay(IMD) is presented, which is focused on overcoming the defect that the feasibility of the M-T type nonline...

Procedure for Computing the Possibility and Fuzzy Probability of Failure of Structures

GUO Shu-xiang, Lü Zhen-zhou

2003, 24(3): 300-304.

Abstract(2617) PDF(841)

Abstract:
Traditionally, the calculation of reliability of fuzzy random structures is based on the wellknown formulation of probability of fuzzy events.But sometimes the results of this formulation willnot indicating the real state of safety of fuzzy-random structures.Based on the possibility theory, a comput...

On the Existence of Common Fixed Points for a Pair of Lipschitzian Mappings in Banach Spaces

ZENG Lu-chuan

2003, 24(3): 305-314.

Abstract(2257) PDF(653)

Abstract:
The existence of common fixed points for a pair of Lipschitzian mappings in Banach Spaces is proved.By using this result, some common fixed point theorems are established for these mappings in Hilbert spaces, in L^pspaces, in Hardy spaces H^p, and in Sobolev spaces H^r,p, for 1< p< +∞ and r≥0.

A Positve Interior-Point Algorithm for Nonlinear Complementarity Problems

MA Chang-feng, LIANG Guo-ping, CHEN Xin-mei

2003, 24(3): 315-322.

Abstract(2494) PDF(735)

Abstract:
Anew iterative method, which is called positive interior-point algorithm, is presented for solving the nonlinear complementarity problems.This method is of the desirable feature of robustness.And the convergence theorems of the algorithm is established.In addition, some numerical results are reporte...

Method of Model Analysis for Flexible Head Impacting With Elastic Plane

ZHAO Gui-fan, TAN Hui-fneg, DU Xing-wen

2003, 24(3): 323-330.

Abstract(2353) PDF(696)

Abstract:
The process of head impacting with elastic plane was modeled as a response of vibrant system, and the method of mechanical network figure and mechanical impedance was used to resolve this problem.Based on its structure, head was viewed as a vibrant model, which concludes the masses of scalp and bone...