Applied Mathematics and Mechanics (English Edition)

AN EXACT SOLUTION ON THE STRESS ANALYSIS OF FILLET WELDS

薛大为

1995, 16(11): 1019-1024.

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An exact solution on the stress distribution of fillet welds is obtained in this paper This solution can be used not only for estimating the accuracy of the present design method of fillet welds but also for establishing a new design method.

ELASTICITY SOLUTIONS OF SPHERICALLY ISOTROPIC CONES UNDERCONCENTRATED LOADS AT APE

丁皓江;邹道勤;任永坚

1995, 16(11): 1025-1038.

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Based on the Ref [9]the displacement and stress distributions in a spherically isotropic cone subjected to concentrated loads at apex are studied The displacementand stresses are given explicitly for the cone in compression torsion and bending cases respectively based on the situation of the concentrated forces and moments Finally.the hollow cone problems are discussed .

ELEMENT-BY-ELEMENT MATRIX DECOMPOSITION AND STEP-BY-STEPINTEGRATION METHOD FOR TRANSIENT DYNAMIC PROBLEMS

王怀忠

1995, 16(11): 1039-1045.

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In this paper a general matrix decomposition scheme as well as an element-by-clement relaxation algorithm combined with step-by-step integration method is presented for transient dynamic problems thus the finite element method can be fromforming global stiffness matrix global mass matrix as well as solyin large scale sparse equations Theory analysis and numerical results show that the presented matrix decomposition scheme is the optimal one The presented algoithm has else physicalmeaning and can be busily applied to finite element codes

STABILITY ANALYSIS OF SLOWLY DIVERGENT SWIRLINGFLOW (I)——THEORY

夏南;尹协远

1995, 16(11): 1047-1054.

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The stability of inviscid incompressible swirling flow with slowly divergence is investigated A multiple scale expansion is used to develop a linear stability study of slowly divergent swirling flow with non-axisymmetric disturbances The differental equations of zero-order and first-order disturbance module and governing equation of amplitude variation due to slowly divergent flow are derved The plaschko s equation for slowly divergent swirl-free jet has been extended to slowly divergent flow with swirlin the present study.

THE INTEGRATION METHODS OF VACCO DYNAMICS EQUATION OF NONLINEAR NONHOLONOMIC SYSTEM

罗绍凯

1995, 16(11): 1055-1063.

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This paper presents the integration methods for vacco dynmmies equations of nonlinear nonholononic system,First.vacco dynamies equations are written in the canonical form and the field form.second the gradient methods the single-componentmethods and the field method are used to integrate the dynamics equations of the corresponding holonomic system respectively.And considering the restriction of nonholonomic construint to the initial conditions the solutions of Vacco dynamics cquations of nonlinear nonholonomic system are obtained.

THE ANALYTIC RESOLUTIONS AND APPLICATIONS OF THE NON-LINEARSEEPAGE FLOW EQUATIONS OF COAL INFUSION

张延松

1995, 16(11): 1065-1072.

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hi this paper. the author uses the theory of fluid mechanics. dynamics of fluids in Porous media. gas seepage flow in coal seams and combines the tests in the laboratory with the actual coal infusion to have an investigating and study from the theory to the mechanism of coal infusion to wet coal seams. through the analysis to the process of coal infusion the author builds up the mathematical models and has a detailed discussion to the boundary conditions of coal infusion. Because the equation sets to describe coal infusion are non-linear. we have made a simplification to them to use the dimension analysis theory by leading into the non-dimensions of water pressure of coal infusion, seepage flow rate. increment of coal seam moisture and so on Besides the analytic and approximate solutions have also been discussed. At last. we use the scientific research item of the actual coal infusion to illustrate the effects and importance of the theory to direct actual coal infusion and its designs.

ON THE EXISTENCE AND STABILITY OF SOLUTION FORSEMI-HOMOGENEOUS BOUNDARY VALUE PROBLEM

董勤喜;黄先开

1995, 16(11): 1073-1077.

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In this paper. we discuss the existence and stability of solution for two semi-homogeneous boundary value problems. The relative theorems in [1.2] are extended. Meanwhile. we obtain some new results.

THE PROBLEMS OF THE NONLINEAR UNSYMMETRICAL BENDING FOR CYLINDRICALLY ORTHOTROPIC CIRCULAR PLATE (II)

黄家寅;秦圣立;夏云杰;许晓平;孔祥和

1995, 16(11): 1079-1093.

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In this Paper we study the recursive equations under the recursive boundary conditions for W_nm,nm, v_nm and ψ_nm(n=0.1.2...N:m=1.2...M. which derivedby the two-variable method [3] in the preceding paper[1]. We then solve these problems by using the method of regular perturbation[2]. and the uniformly valid asymptotic solution is obtained. Lastly we consider a particular example i. e the bending problems of the axisymmetrical circular plate by using the mixed perurbation method and compare our results with the exact solution found in Ret[5]. They are similarly coincided.

ON MECHANICAL PROPERTY OF CONSTRAINT

韦杨;梁立孚;梁忠伟

1995, 16(11): 1095-1103.

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In this paper. the mechanical properties of holonomic systems and mon-holonomicsystems are strdied. This is an important and urgent problem.

A SUPPLEMENTARY STUDY OF ANISOTROPIC PLASTIC FIELDS AT A RAPIDLY PROPAGATING PLANE-STRESS CRACK-TIP (I)

林拜松

1995, 16(11): 1105-1115.

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The results in Ref. [1] are not suitable for the cases of β≥2. For this reason, byusing the methods in Ref [1] and Ref [2], we derive the general expressions ofamsotropic plastic fields at a rapidly propagating plane-stress crack-tip for both thecases of β=2 and β>2.

OBLC DOMAIN DECOMPOSITION FOR ARTIFICIAL COMPRESSIBLE EQUATION

林明森;黄兰洁

1995, 16(11): 1117-1121.

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This paper is a continuation of the domain decomposition method according to thephysics scale proposed in [1] and [2]. Starting from systems of ordinary differentialequattons, a solution is decomposed into an outer solution (0) and its boundary layercorrections (BLC) mainly on the fixed boundary. For efficient numerical solution,different equations, different numerical methods and different grids can be suitablychosen for the different scales. This paper also gives the characteristic nature and well-posed boundary condition about artificial compressible equations. Numericalexperiments show that the computational method and the couple process presented inthe paper are effective.

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