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1995年 第16卷 第12期    刊出日期：1995-12-18

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论文

ON THE ERROR ESTIMATE OF H-CONVERGENCE IN QUADRILATERAL ELEMENTS

段梅;宫本裕;周本宽;陈大鹏

1995, 16(12):  1123-1131. 

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To provide a iheoreiical basis for h-type.finire elemenl analysis with quadrilateralelements, in the present paper, the h-convergence of quadrilateral elements is established. whose related lemmas and theorems being presented, and therefore, theerror estimate problems are investigated.

THE EXPLICIT SOLUTION OF THE MATRIX EQUATION AX-XB=C——To the memory of Prof. Guo Zhongheng

陈玉明;肖衡

1995, 16(12):  1133-1141. 

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Almost all of the existing results on the explicit solutions of the matrix equation AX-XB=C are obtained under the condition that A and B have no eigenvalues incommon For both symmetric or skewsymmetric matrices A and B. we shall give outthe explicit general solutions of this equation by using the notions of eigenprojectionsThe results we obtained are applicable not only to any cases of eigenvalues regardlessof their multiplicities but also to the discussion of the general case of this equation.

ANALYTICAL SOLUTION OF RADIATED SOUND PRESSURE OF RING-STIFFENED CYLINDRICAL SHELLS IN FLUID MEDIUM

谢官模;骆东平

1995, 16(12):  1143-1148. 

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In this paper, analytical formularions of radiated sound pressure of ring-stiffenedcylindrical shells in fluid medium are derived by means of Hamilton’s principleHuygens principle and Green function. These formulations Can be used to compute the sound pressure of the shell’s surface nearfield and farfield.

THE INTERACTION OF PLANE SH-WAVES AND CIRCULAR CAVITY SURFACED WITH LINING IN ANISOTBOPIC MEDIA

韩峰;韦扬;刘殿魁

1995, 16(12):  1149-1159. 

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In this paper. we use the complex function method for solving the problem ofinteraction of plane SH-waves and circular cavity surfaced with lining in anisotropicmedia.Anisotropic media can be used to simulate the conditions of the geology Thisproblem can be handled by using the method similar to that incorporated in Ref [5] todefine the scattering waves in media. added with the given boundary condition of the circular cavity. In this paper. as illustrated in the examples the results and discussions ofnumerical studies have been done for the interaction of plane SH-waves and two kinds of circular cavities surfaced with lining made up of different materials in anisotropicmedia.

THE VARIATIONAL PRINCIPLE OF THIN SHELL IN STABILITY

黄炎;黄瑞芳

1995, 16(12):  1161-1169. 

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this paper gives the resultant forces and moments strain energy and work of external forces on the basis of the deformation theory of flexible body therefore in aqcfordance with the principle of virtual displacement the energy criterion of critical lad is obtained and the equilibrium equation and boundary conditions of stability problem are derived.

ON THE EXISTENCE OF HARMONIC SOLUTIONS FORHIGHER-ORDER LIENARD SYSTEMS

董勤喜;黄先开

1995, 16(12):  1171-1174. 

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In this paper, by using of the theory of coincidence degree,we obtain the new conditions which guarantee the existence of harmonic solutions for Lienard Systems x=d/dt grad F(x)+grad G(x)=p(t) our resuls do not require that the damping must be positive.

INTERACTION OF TURBULENT COHERENT STRUCTURES ANDSMALL SCALE STRUCTURES

刘士和;梁在潮

1995, 16(12):  1175-1183. 

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In lhis paper experimental research is carried out for the existence of larqe andsmall scale.structures in turbulent boundary layer and the interactions between these structures. Based on the experimental results,a new method is suggested to discribe the coherent strucures in which the interactions between between the coherent and small-scale slructures are considered,Using this method a new pattern recognition method is and rough wall conditions. The results show that the suggested method is reasonable.

INSTABILITY OF SOLUTION FOR A CLASS OF THE THIRDORDER NONLINEAR DIFFERENTIAL EQUATION

卢德渊

1995, 16(12):  1185-1200. 

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In Ref [1] the asymptotic stability of nonlinear slowly changing system has been discussed.In Ref [2] the instability of solution for the order linear differential equaiton with varied coefficient has been discussed.In this paper,we have discussed instability of solution for a class of the third order nonlinear diffeential equation by means of the metod of Refs [1] and [2].

SOLVING THE FREE BOUNDARY PROBLEM IN CONTINUOUSCASTING BY USING BOUNDARY ELEMENT METHOD

李耀勇;张自立

1995, 16(12):  1201-1208. 

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In this paper. the authors solve the free boundary problem (FBP) in continuouscasiing by using boundary element method (BEM). First, we simplify the generalmathematical model for continuous casting to a practicable model, and give theboundary integral equations with partial unknown boundary for this model, anddescribe in detail the steps of calculating this FBP by using the BEM. Next, wepresent the result of our numerical experiments, and discuss the stability, convergenceand applicaiion of our method. At last. we simplify the former model so that it has ananalytic solution. and we compare its numerical solution resulted from our method withits analytic solution.

UNCONDITIONAL STABLE SOLUTIONS OF THE EULER EQUATIONS FORTWO-AND THREE-D WINGS IN ARBITRARY MOTION

高正红

1995, 16(12):  1209-1220. 

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The work presented here shows the unsteady inviscid results obtained for the twoand three-dimensional wings which are in rigid and flexible osciliations.The results are generated by a finite volume Euler method. It is based on theRunge-Kutta time stepping scheme developed by Jameson et al.. To increase the timestep which is limited by the stability of Runge-Kutta scheme, the implicit residualsmoothing which is modified by using variable coefficients in prerent the loss of flowphysics for the unsteady flows is engaged in the calculations. With this unconditionalstable solver the unsteady flws about the wings in arbitrary motion can be receivedefficiently.The two-and three-dimensional rectangular wings which are in rigid andflexible pitching oscillations in the transonic flow are invesigated here, some of thecomputational results are compared with the experimental data. The influence of thereduced frequency for the two kinds of the wings are researched. All the results givenin this work are reasonable.

AN ANALYSIS OF THE POST-BUCKLING OF LAMINATEDPLATES OF SYMMETRIC CROSS-PLY

翁宗诒

1995, 16(12):  1221-1230. 

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In this paper, general equations relating to the stability of laminated plates ofsymmetric cross-ply with initial imperfection factors are derived by using thevariational principle. Taking the deflection as the perturbation parameter, theequilibrium path of the post-buckling path of a simply supported rectangular plate isinvestigated with the perturbation method. An approximation expression and a typicalnumerical example are presented to manifest the post-buekling behavior of therectangular plate.