应用数学和力学

2003 Vol. 24, No. 4

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A Numerical Method for Fractional Integral With Applications

ZHU Zheng-you, LI Gen-guo, CHENG Chang-jun

2003, 24(4): 331-341.

Abstract(3024) PDF(895)

Abstract:
A new numerical method for the liactional integral that only stores part history data is preseated, and its discretization error is estimated.The method can be used to solve the integno-diffemntial equation including fiactional integral or fractional derivative in a long history.The difficulty of st...

A Theoretical Modelling of the Chain Structure Formation in Electrorheological Fluids

LIU Yu-lan, WANG Biao, WANG Dian-fu

2003, 24(4): 342-350.

Abstract(2593) PDF(592)

Abstract:
A model was developed to understand the aggregation process of the particles in electrorheological(ER) fluids under the action of an applied electric field. By establishing a generalized virtual work principle based on the consideration that the released electromagnetic energy accompatlying the grow...

Controlling Hyperchaos in Planar Systems by Adjusting Parameters

YANG ling, LIU Zeng-rong, MAO Jian-min

2003, 24(4): 351-356.

Abstract(2405) PDF(490)

Abstract:
For the two-parameter family of planar mapping, a method to stabilize an unstable fixed point without stable manifold embedding in hypetvhaos is introduced. It works by acjjusting the two parameters in each iteration of the map. The explicit expressions for the parameter a}ustments are derived,and s...

Postbuckling of Pressure-Loaded Shear Deformable Laminated Cylindrical Panels

SHEN Hui-shen

2003, 24(4): 357-366.

Abstract(2803) PDF(611)

Abstract:
A postbuckling analysis is presented for a shear deformable laminated cylindrical panel of finite length subjected to lateral pressure. The governing equations are based on Reddy's higher order shear deformation shell theory with von Kármán-Donnell-type of kinematic nonlinearity.The nonlinear prebuc...

Nonlinear Bending of Corrugated Diaphragm With Large Boundary Corrugation Under Compound Load

YUAN Hong, LIU Ren-huai

2003, 24(4): 367-372.

Abstract(2554) PDF(658)

Abstract:
By using the simplified Reissner's equation of axisymmetric shells of revolution, the nonlinear bending of a corrugated annular plate with a large boundary corrugation and a non-deformable rigid body at the center under compound load are investigated. The nonlinear boundary value problem of the comi...

Research for the Strain Energy Release Rate of Complex Cracks by Using Point-by-Point Closed Extrapolation Approach

GUO Mao-lin, MENG Qing-yuan, WANG Biao

2003, 24(4): 373-377.

Abstract(2760) PDF(506)

Abstract:
A new extrapolation approach was proposed to calculate the strain energy release rates of complex cracks. The point-by-point closed method was used to calculate the closed energy, thus the disadvantage of self-inconsistency in some published papers can be avoided.The disadvantage is that the closed ...

The Effect of an Elastic Triangular Inclusion on a Crack

JIAO Gui-de, WANG Yin-bang

2003, 24(4): 378-384.

Abstract(2404) PDF(532)

Abstract:
The interaction between an elastic triangular inclusion and a crack is investigated. The problem is formulated using the boundary integral equations for traction boundary value problems derived by Chau and Wang as basic equations. By using the continuity condition of traction and displacement on int...

Chaotic Attitude Motion of a Magnetic Rigid Spacecraft

CHEN Li-qun, LIU Yan-zhu

2003, 24(4): 385-390.

Abstract(3175) PDF(533)

Abstract:
Chaotic attitude motion of a magnetic rigid spacecraft in a circular orbit of the earth is treated.The dynamical model of the problem was derived from the law of moment of momentum.The Melnikov analysis was carried out to prove the e}dstence of a complicated nonwandering Cantor set.The dynamical beh...

Almost Disturbance Decoupling for a Class of Minimum-Phase Higher-Order Cascade Nonlinear Systems

BI Wei-ping, MU Xiao-wu, IIN Lan

2003, 24(4): 391-397.

Abstract(2330) PDF(468)

Abstract:
The problem of almost disturbance decoupling (ADD) with internal stability is discussed,for a class of high-order cascade nonlinear systems having zero dynamics.Using adding power integeator techniques, the ADD problems via a static state feedback is solved.

Parameters Identification in Offshore Platform Using ARMA Model and Technology of Extracting Free Vibration Signal

OU Jin-ping, HE Lin, XIAO Yi-qing

2003, 24(4): 398-404.

Abstract(2551) PDF(729)

Abstract:
A procedure for identifying the dynamic parameter of offshore platform is presented. The present procedure consists of two key features.Fist uses random decrement (RD) technology to extract free vlbration signal in strong noise environment in which it may not white noise. Second technology which cal...

Maximum Principles for Greneralized Solutions of Quasi-Linear Elliptic Equations

WANG Xiang-dong, XU Xiao-zeng, HANG Xi-ting

2003, 24(4): 405-413.

Abstract(2592) PDF(504)

Abstract:
Under the assumption that the growth order of the free team to natural growth condition with respect to gradient of the generalized solutions the maximum principle is proved for the bounded generalized solutiom of quasi-linear elliptic equations.

Form Invariance and Noether Symmetrical Conserved Quantity of Relativistic Birkhoffian Systems

LUO Shao-kai

2003, 24(4): 414-422.

Abstract(3008) PDF(679)

Abstract:
A form invariance of the relativistic Birlchoffian system is studied,and the conserved quantities of the system are obtained. Under the infinitesimal transformation of groups, the definition and criteria of the form invariance of the system were given. In view of the invariance of relativistic Pfaff...

Existence of Bounded Solutions on the Real line for Lienard System

XIAO Hai-bin

2003, 24(4): 423-433.

Abstract(2400) PDF(452)

Abstract:
The existence of monotone and non-monotone solutions of boundary value problem on the real line for Liénard equation is studied.Applying the theory of planar,dymamical systems and the comparison method of vector fields defined by Liénard system and the system given by symmetric transformation or qua...

Random Variable With Fuzzy Probability

LÜ En-lin, ZHONG You-ming

2003, 24(4): 434-440.

Abstract(2610) PDF(588)

Abstract:
Mathematic description about the second kind fuzzy random variable namely the random variable with crisp event-fuzzy probability was studied. Based on the interval probability and using the fuzzy resolution theorem,the feasible condition about a probability fuzzy number set was given,go a step furth...