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1995年 第16卷 第9期    刊出日期：1995-09-18

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论文

NOTES ON A STUDY OF VECTOR BUNDLE DYNAMICAL SYSTEMS (Ⅰ)

廖山涛

1995, 16(9):  813-823. 

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This paper is a continuation of a previous one. We still emphasize the discussionon the relation between the dynamics on the base space of a rector bundle and that oneach associated bundle of frames.

GENERAL SECOND ORDER FLUID FLOW IN A PIPE

何光渝;黄军旗;刘慈群

1995, 16(9):  825-831. 

摘要 ( 602 )   PDF (395KB) ( 417 )  

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It is more satisfactory for fluid materials between viscous and elastic to introducethe fractional calculus approach into the constitutive relationship. This paper employsthe fractional calculus approach to study second fluid flow in a paper. First, we derivethe analytical solution which the derivate order is half and then with the analyticalsolution we verify the reliability of Laplace numerical inversion based on Crumpalgouithm for the problem, and finally we analyze the characteristics of second orderfluid flow in a pipe by using Crump method. The results indicate that the more obviousthe viscoelastic properties of fluid is, the more sensitive the dependence of velocity andstress on fractional derivative order is.

AN EXAMPLE OF PDE WITH TWO ATTRACTORS

王冠香;徐振源;刘曾荣

1995, 16(9):  833-838. 

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A system of reaction-diffusion equations wity two attractors is given in this paper.The construction of the attractors is discussed.

KANE’S EQUATIONS FOR PERCUSSION MOTION OF VARIABLE MASS NONHOLONOMIC MECHANICAL SYSTEMS

张耀良;乔永芬

1995, 16(9):  839-850. 

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In this paper,the Kane’s equations for the Routh’s form of variable massnonholonomic systems are established.and the Kane’s equations for percussion motionof variable mass holonomic and nonholonomic systems are deduced from them. Secondly,the equivalence to Lagrange’s equations for percussion motion and Kane’sequations is obtained,and the application of the new equation is illustrated by anexample.

THE ADAPTIVE PARAMETER INCREMENTAL METHOD FOR THE ANALYSIS OF SNAPPING PROBLEMS

赵琪;叶天麒

1995, 16(9):  851-858. 

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By the improvement of Riks’and Crisfield’s arc-length method,the adaptiveparameter incremental method is preasted for predicting the snapping response ofstructures. Its justification is fulfilled. Finally,the effectiveness of this method isdemonstrated by solving the snapping response of spherical caps subjected to centrallydistributed pressures.

ACTUATION OF SLOSHING MODULATED FORCE AND MOMENT ON LIQUID CONTAINER DRIVEN BY JITTER ACCELERATIONS ASSOCIATED WITH SIEW MOTION IN MICROGRAVITY

洪儒珍;龙瀛天;潘海林

1995, 16(9):  859-876. 

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The mathematical formulation of sloshing dynamics for a partially liquid filleddewar container driven by the gravity jitter acceleration associated with slew motion isstudied.Explicit mathematical expressions to manage jitter accelerption associated withslew motion which is acting on the fluid systems in microgravity are derived. Thenumerical computation of sloshing dymamics is based on the non-inertia framecontainer bound coordinate and the solution of time-dependent three-dimensionalformulations of partial differential equations subject to initial and boundary conditions.The numerical computation of fluid viscous stress forces and moment fluctuationsexerted on the dewar container driven by jitter acceleration associated with slew motion is investigated.

EXPONENTIAL ATTRACTORS FOR A GENERALIZED GINZBURG-LANDAU EQUATION

高洪俊

1995, 16(9):  877-882. 

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Based on the paper [1]. we obtain the existence of exponential attractors for a generalized Ginzburg-Landau equation in one dimension.

INTEGRABLE TYPES OF NONLINEAR ORDINARY DIFFERENTIAL EQUATION SETS OF HIGHER ORDERS

汤光宋;原存德

1995, 16(9):  883-890. 

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Because of the extensive applications of nonlinear ordinary differential equation in physics,mechanics and cybernetics,there have been many papers on the exact solution to differential equation in some major publications both at home and abroad in recent years Based on these papers and in virtue of Leibniz formula,and transformation set technique,this paper puts forth the solution to nonlinear ordinary differential equation set of higher-orders, moveover,its integrability is proven.The results obtained are the generalization of those in the references.

STUDYING THE FOCAL VALUE OF ORDINARY DIFFERENTIAL EQUATIONS BY NORMAL FORM THEORY

张琪昌;梁以德

1995, 16(9):  891-900. 

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We present a new method to calculate the focal value of ordinary differential equation by applying the theorem defined the relationship between the normal form and focal value,with the help of a symbolic computation language M ATHEMATICA,and extending the matrix representation method.This method can be used to calculate the focal value of any high order terms.This method has been verified by an example.The advantage of this method is simple and more readily applicable.the result is directly obtained by substitution.

SIMILARITY SOLUTIONS OF THE SUPER KdV EQUATION

俞慧丹;张解放

1995, 16(9):  901-904. 

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In this paper two types of similarity reductions of the super KdV equation aregiven by the direct method.

THE SIMILAR SOLUTIONS OF NONLINEAR HEAT CONDUCTION EQUATION

袁镒吾

1995, 16(9):  905-912. 

摘要 ( 664 )  

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In reference [1]. the wave solutions of nonlinear heat conduction equation arestudied In it the similar variable ξ is wave variable and it is assumed that the heat conduction coefficient is only the function of the similar variable ξ.In this paper the author forsakes the above-mentioned restraints and studies the similar solutions of the nonlinear conduction equation from the more general angles.