Applied Mathematics and Mechanics (English Edition)

3-D NUMERICAL STUDY ON THE BENDING OF SYMMETRIC COMPOSITE LAMINATES

钱伟长;黄默;冯伟

1994, 15(1): 1-6.

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In this paper, the composite laminates subjected to pure bendinq are modelled by using 3-D anisotropic finite elements and the distributions of stress and strain alongthe thickness are presented.The numerical results show that there is a stressconcentration near the bonding interface in the central region(far from tractionboundaries and free edges)of symmetric angle-ply laminates, which should be called“interlaminar effect”The abrupt change of the mechanical behavior of material onthe interfaces causes interlaminar stresses.The laminates are in 3-D stress state nearthe interfaces. The strain distribution of the 3-D numerical model is different from thestrain hypothesis of the classical laminate theory based on the Kirchhoff-Lovehypotheses of straight inextensional normals.

ASYMPTOTIC ANALYSIS OF A CLASS OF NONLINEAR OSCILLATION EQUATION IN ELECTRICAL ENGINEERING

程友良;戴世强

1994, 15(1): 7-12.

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In the present paper,we investigate a class of nonlinear oscillation equations inelectrical engineering by using the modified Krylov-Bogolyubov method presentedin[1]. We obtain quantitatively ihe parameier range for the existence of a limit cycleand the amplitude of the limit cycle,and find that the limit cycle is unstable. All theresults agree entirely with the known results given by qualitative analysis, and henceconfirm the effectiveness of the above-mentioned asymptotic method

A NEW EQUILIBRIUM EXISTENCE THEOREM OF GENERALIZED GAME

丁协平

1994, 15(1): 13-17.

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In the present paper, we prove a new equilibrium existence theorem forgeneralized games with uncountable number of agents, noncompact choice sets andgeneral preference correspondences which do neither have open graph nor have openlower sections. This theorem improves a recent result of kim.

A FORMULA OF SOLUTION TO THE INTEGRAL OF RATIONAL FUNCTIONS

桂祖华

1994, 15(1): 19-27.

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A usual method is the method of waiting coefficient to solve integral of a rationalfunction. We shall propose a non-waiting coefficient formula of solution about thiskind of integral in this article and perfectly solve this kind of integral problem. Inpractical application this new method is simple, direct and effective. Its advantage isnot only to give a simple solution for several problems which are very difficult or aren'tsolved by usual method, but also to solve more complex problems by computer.

MOTION EQUATIONS OF MULTILAYERED ELASTIC ELECTROCONDUCTIVE PLATES IN A MAGNETIC FIELD

苟兴华;张发祥

1994, 15(1): 29-36.

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The motion equations of multilayered elaslic electroconductive plates in amagnetic field are obtained The well known Ambartsumian's equations of plates arethe special ones of this paper. The equations of transverse vibration of multilayeredplate are also discussed here.

THE VARIATIONAL PRINCIPLES OF COUPLED SYSTEMS IN PHOTOELASTICITY

付宝连

1994, 15(1): 37-48.

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This paper presents an energy principle, zero different principle of coupledsystems in photoelasticity, from which the potential energy, the complementary energy,generalized potential energy and generalized complementary energy variationalprinciples of the coupled systems in photoelasticity are derived What is called the coupled systems means that two deformational bodies, forwhich figures, sizes,loads and boundary conditions are the same and they are all inactual states but they are made of different materials.Prototype body and model body in photoelasticity are essentially the coupledsystems, therefore the above principles become the theoretical basis of defining theinflunce of Poissons ratio v on accuracy of the frozen-stress method.

THE EXISTENCE OF PERIODIC SOLUTIONS FOR A CLASS OF FUNCTIONAL DIFFERENTIAL EQUATIONS AND THEIR APPLICATION

赵杰民;黄克累;陆启韶

1994, 15(1): 49-59.

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In this paper. four sufficiency theorems of existence of periodic solutions for aclass of retarded functional differential equations are given. The result of thesetheorems is better than the well-known Yoshizawa's periodic solution theorem. Anexample of application is given at the end.

A STUDY OF J-INTEGRAL OF THE ORTHOTROPIC COMPOSITE MATERIAL

王蔼勤;冯宝莲;杨维阳

1994, 15(1): 61-69.

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The relation between J-integral near model I crack tip in the orthotropic plateand displacement derivative is derived in this paper. Meanwhile,Ihe relation betweenstress intensity factor K₁ and displacement is also given in this paper.With stickingfilm moire interferometry method, the three-point bending beam is tested,thus thevalues of J-integral and K₁ can be obtained.from the displacement field,and then thetruth of relation formula between J-integral and K₁ in the orthotrtopic compositematerials is experimentally verified.

MIKUSINSKI'S OPERATORS SOLUTION OF THREE-ORDER LINEAR DIFFERENCE EQUATION WITH VARIABLE COEFFICIENTS

周之虎

1994, 15(1): 71-79.

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This paper proceeds the papers [3] [4], we make use of the idea of the variable ,number operators and some concepts and conclusions of the shifting operators serieswith variable coefficients in the operational field of Mikusinski, it is devoted to thesolution of the general three-order linear difference equation with variable,coefficients,and it is also devoted to the better solution .formula for the some special three-orderlinear difference equations with variable coefficients, in addition, we try to provide theidea and method for realizing solution of the more than three-order linear differenceequation with variable coefficients.

A COMPLETE EXPRESSION OF THE ASYMPTOTIC SOLUTION OF DIFFERENTIAL EQUATION WITH A∩-TH ORDER TURNING POINT

张居铃

1994, 15(1): 81-91.

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A second order linear ordinary differential equation has been studied,and thecomplete expression.of the formal uniformly valid asymptotic solutions to the equationnear turning point is obtained by using extended Airy function.

THE INTEGRAL AS A FUNCTION OF THE UPPER LIMIT AND DEPENDING ON A PARAMETER TO SOLVE DRAWING THROUGH IDLING ROLLS

赵德文;赵志业;张强

1994, 15(1): 93-100.

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The relocity and sirain-rate .field which are different from Avilzur's have beenestablished in Caitesian coordinates. Using the integral as a function of the upper limitand integration depending on a parameler, an analylical upper-bound solution todrawing stress through idling rolls has been obtained in this paper.

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