应用数学和力学

2007 Vol. 28, No. 6

Select articles

Display Method:

Binary Discrete Method of Topology Optimization

MEI Yu-lin, WANG Xiao-ming, CHENG Geng-dong

2007, 28(6): 631-642.

Abstract(2998) PDF(664)

Abstract:
The numerical non-stability of a discrete algorithm of topology optimization can result from the inaccurate evaluation of element sensitivities,especially,when material is added to elements.The estimation of element sensitivities is very inaccurate.Even their sign are also estimated wrongly.In order...

Auxiliary Principle and Three-Step Iterative Algorithms for Generalized Set-Valued Strongly Nonlinear Mixed Variational-Like Inequalities

XU Hai-li, GUO Xing-ming

2007, 28(6): 643-650.

Abstract(3160) PDF(877)

Abstract:
The auxiliary principle technique to study a class of generalized set-valued strongly nonlinear mixed variational-like inequalities is extended.The existence and uniqueness of the solution of the auxiliary problem for the generalized set-valued strongly nonlinear mixed variational-like inequalities ...

Dual Equations and Solutions of Ⅰ-Type Crack of Dynamic Problems in Piezoelectric Materials

BIAN Wen-feng, WANG Biao

2007, 28(6): 651-658.

Abstract(2822) PDF(704)

Abstract:
Firstly,basic differential equations of piezoelectric materials expressed in terms of the potential functions,which are introduced in the very beginning,were worked out.Then these equations were primarily solved through Laplace transformation,seiminfinite Fourier sine transformation and cosine trans...

Noise Analysis for Sensitivity Based Structural Damage Detection

YIN Tao, ZHU Hong-ping, YU Ling

2007, 28(6): 659-667.

Abstract(3128) PDF(732)

Abstract:
As vibration-based structural damage detection methods are easily affected by the environmental noise,a newly statistic-based noise analysis method was proposed together with Monte Carlo technique to investigate the influence of experimental noise of modal data on sensitivity-based damage detection ...

Numerical Solutions of Singular Integral Equations for Planar Rectangular Interfacial Crack in Three Dimensional Bimaterials

XU Chun-hui, QIN Tai-yan, NODA Nao-Aki

2007, 28(6): 668-674.

Abstract(3099) PDF(558)

Abstract:
Stress intensity factors for a three dimensional rectangular interfacial crack are considered on the idea of the body force method.In the numerical calculations,unknown body force densities were approximated by the products of the fundamental densities and power series.Here the fundamental densities...

Formation Around Planetary Displaced Orbit

GONG Sheng-ping, LI Jun-feng, BAOYIN He-xi

2007, 28(6): 675-683.

Abstract(2866) PDF(599)

Abstract:
The relative motion around the planetary displaced orbit is investigated.Several kinds of displaced orbits for geocentric and Martian cases were discussed.First,the relative motion is linearized around the displaced orbits.Then,two semi-natural control laws were investigated for each kind of orbit a...

Dynamic Model of the Vertical Vehicle-Subgrade Coupled System Under Secondary Suspension

LIANG Bo, LUO Hong, MA Xue-ning

2007, 28(6): 684-692.

Abstract(2953) PDF(848)

Abstract:
As is known,track transportation can be divided into track system above and track system below.While the train is moving,the parts above and below are interacted and influenced.Therefore,in fact,the problem of track transportation is the match between the vehicle and the railway line system.On a bas...

Piezoelectric Generator Based on Torsional Modes for Power Harvesting From Angular Vibrations

CHEN Zi-guang, HU Yuan-tai, YANG Jia-shi

2007, 28(6): 693-398.

Abstract(2546) PDF(812)

Abstract:
Torsional vibration of a circular piezoelectric shell of polarized ceramics mounted on a rotationally vibrating base was analyzed.The shell is properly electroded and connected to a circuit such that an electric output is generated.The structure analyzed represents a piezoelectric generator for conv...

Nonlinear Delay Difference Equations for Housing Dynamics Assuming Heterogeneous BackwardOLooking Expectations

LEUNG Andrew Y T, XU Jia-na, TSUI Wing-shum

2007, 28(6): 699-712.

Abstract(2664) PDF(732)

Abstract:
This paper aims to analyze the housing price dynamics after an unanticipated economic shock,which was believed to have similar properties with the backward-looking expectation models. The analysis of the housing price dynamics was based on the cobweb model with a simple user cost affected demand and...

Generalized Contraction Mapping Principle in Intuitionistic Menger Spaces and an Application to Differential Equations

Servet Kutukcu, Adnan Tuna, Atakan T. Yakut

2007, 28(6): 713-723.

Abstract(2655) PDF(758)

Abstract:
Using the idea of Atanassov,the notion of intuitionistic Menger spaces was defined as a natural generalizations of Menger spaces due to Menger.A new generalized contraction mapping and utilize this contraction mapping to prove the existance theorems of solutions to differential equations in intuitio...

Displacements and Stresses in a Composite Mult-Layered Media Due to Varying Temperature and Concentrated Load

M. K. Ghosh, M. Kanoria

2007, 28(6): 724-734.

Abstract(2876) PDF(568)

Abstract:
The determination of the thermo-elastic displacements and stresses in a mult-ilayered body set up in different layers of different thickness having different elastic properties due to the application of heat and a concentrated load in the uppermost surface of the medium is studied.Each layer is assu...

Note on the Barenblatt Power Series Solution to the Boussinesq Equation

SONG Zhi-yao, LI Ling, David Lockington

2007, 28(6): 735-740.

Abstract(3427) PDF(749)

Abstract:
A self-similar analytical solution of the Boussinesq equation of groundwater flow in a semi-infinite porous medium when the hydraulic head at the boundary behaves like a power of time was presented(Barenblatt (1952) obtained a power series solution,but he listed only the first three coefficients and...

Robust Stability of Uncertain Neutral Linear Stochastic Differential Delay Systems

JIANG Ming-hui, SHEN Yi, LIAO Xiao-xin

2007, 28(6): 741-748.

Abstract(2894) PDF(743)

Abstract:
The La Salle-type theorem for the neutral stochastic differential equations with delay was established and then applied to propose algebraic criteria of the stochastically asymptotic stability and almost exponential stability for the uncertain neutral stochastic differential systems with delay.An ex...

Derivatives of Repeated Eigenvalues and the Corresponding Eigenvectors of Damped Systems

XIE Hui-qing, DAI Hua

2007, 28(6): 749-756.

Abstract(3200) PDF(660)

Abstract:
A procedure is presented for computing the derivatives of repeated eigenvalues and the corresponding eigenvectors of damped systems.The derivatives are calculated in terms of the eigenvalues and eigenvectors of the second-order system and the use of rather undesirable state space representation is a...