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1994年 第15卷 第7期    刊出日期：1994-07-18

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论文

EQUILIBRIUM IN Abstract ECONOMICS WITH A NON-COMPACTINFINITE DIMENSIONAL STRATEGY SPACE

丁协平;庄德铭

1994, 15(7):  601-604. 

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We generalize an existence theorem of equilibrium of abstract economics by Tulcea to a non-compact strategy, space. Our theorem also improves a recent result ofTian.

POSTBUCKLING BEHAViOR OF RECTANGULAR MODERATELYTHICK PLATES AND SANDWICH PLATES

成振强;王秀喜;黄茂光

1994, 15(7):  605-610. 

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Postbuckling behavior is investigated for Reciangular Reissner’s moderately thickplates and sandwich plates. The fundamental equations and boundary conditions areevpressed in unified dimensionless form for reciangular moderaiely thick plaies andsanduich plaies. Exact solutions of series form with a number of different boundaryconditions. especially. with unsmmetrical boundary conditions. are oblained bydeveloping a new technique of mixed Fourier series in nonlinear analisis. Thenonlinear parlial differenlial equalions are reduced to an infinite set of simultaneousnonlinear algebraic equations, which are truncated by iteration in numericalcompulations.

AN EXISTENCE THEOREM OF GENERALIZEDSAWYER-ELIASSEN EQUATION

余庆余;许秦

1994, 15(7):  611-614. 

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In this paper we obtain an existence theorem for generalized Sawyer-Eliassenequation which has played an important role in the study of frontal circulation of at-mosphere.

A GENERAL SOLUTION AND THE APPLICATION OFSPACE AXISYMMETRIC PROBLEM INPIEZOELECTRIC MATE RIAL

王子昆;陈庚超

1994, 15(7):  615-626. 

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According to the structure feature of the governing equations of spaceaxisymmetric problem in transversely, isotropic piezoelectric material. using the methodof introducing potential .function one by. one, in this paper we obtain the so-calledgeneral solution of displacement and eleclric potential function denoied by uniquepoiential.function which satisfies specific partiality equations. As an applying exampleof the general solution, we solve problem of semi-infinile boodt. made of piezoelectricmaterial, on the surface of the semi-infinite body a concentrative .force is applied, andget the analytic .formulations of stress and electric displacement comiponenis. Thegeneral solution provided by this paper can be used as a tool to analyse the mechanical-electrical coupling behavior of piezoelecrtic material which conlains defects such ascavity inclusion. penny-shape crack. and so on. The result of the solved problem canbe used directly to analyse contact problems which take place between twopiezoelectric bodies or piezoelectric body. and elastic body .

PSEUDOSPECTRAL-FINITE DIFFERENCE METHOD FORTHREE-DIMENSIONAL VORTICITY EQUATION WITHUNILATERALLY PERIODIC BOUNDARY CONDITION

熊岳山;郭本瑜

1994, 15(7):  627-647. 

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A Fourier pseudospectral-finue difference scheme is proposed for three-dimensional vorticity. equalion with unilalerally periodic boundary. condilion. Thegeneralized stability. and conrergence are analyzed. The nunierical results show. theadvantage of this method.

THE CURVILINEAR INTEGRAL PROBLEMS TO VELOCITY FIELDFOR DRAWING THROUGH PARABOLIC DIES

赵德文;刘相华;王国栋;李桂范

1994, 15(7):  649-656. 

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n this paper with Von Karmanis basic assumptions a kinematically admissible continuous velocity field has been established to drawing through parabolic dies (or called trumpet dies). Then by. using the curvilinear and the integral as a function of the upper limit an upper bound analytical solution of the drawing stress is obtained.

ANALYTICAL SOLUTIONS OF THE HELICAL FLOW OF NONNEWTONIAN FLUID IN ECCENTRIC ANNULAR SPACE

张海桥;吴继周

1994, 15(7):  657-670. 

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Mani problems in petroleum and chemical industry can be reduced to the solutions of the helical flow of Non-newtonian fluid in eccentric annular space This paper studies the flow law of the laminar helical flow of the power law fluid and Bingham fluid in eccentric annular space and the determination of the flow state Intheory, by the priciple of the fluid mechanics with methematical methods based on our theory of the helical flow in concentric annular space and through the infinite subdivision method for the flow field of eccentric annular space helical flow the .apparent viscosity distribution the velocity distribution the flow rqte and the pressure drop equation of the .field cat be given. and then the stability parameter.characterizing the transition from laminar to turbulent flow ,is established,

WHITTAKER’S REDUCTION METHOD FOR POINCARÉ’SDYNAMICAL EQUATIONS

Q. K. Ghori

1994, 15(7):  671-677. 

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Whitlaker’s reduction method invokes the energy integral to reduce the order of Lagrange’s.equations of motion of aholonomic dynamical system This paper treats the coresponding result for a nonholonomic conservative system deseribed by poincar’s equations which are constructed form the standpoint of the theory of Lie groups.

ON COMPLETENESS FOR A 3-D LINEARTHEORY OF COMPOSITE LAMINATE

蒋友谅

1994, 15(7):  679-688. 

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In Ref [1] a model of 3-D composite laminate theory was described In the present paper,based on the basic equations about 3-D linear elasticity and classicalrariational principles,by the block matrix operation and the Lagrange’s method of multipliers a series of basic equations and variational principles are obtained whichare more complere and more systematic than that in Ref [1]

THE CALCULATION OF THE MULTIPLY-CONNECTED ELASTIC PLANE PROBLEMS BY MEANS OF STRESS FUNCTIONS OF MULTIPLE COMPLEX VARIABLES

王林江;林佳铿

1994, 15(7):  689-696. 

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On the basis of mathematical elastic theory, the stress functions of multiplecomplex variables are derived in an infinite multiply-connecied plate by using ,nultipleconformal represeniations. The funciions are developed in Fou ries series on unit circles,the unknown coefficients of the functions are deiermined by cornparing coefficientmethod, then the stresses in the plaie can be calculaied. A plate conlaining multipleelliptical hofes is discussed, the corresponding FORTRAN77 program is finished. Twoexamples are given, they show that this method is very effective and convenient.