Table of Content

18 January 1995, Volume 16 Issue 1

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Articles

SOLUTIONS TO EQUATIONS OF VIBRATIONS OF SPHERICAL AND CYLINDRICAL SHELLS

Ding Hao-jiang;Chen wei-qiu;Liu Zhong

1995, 16(1):  1-15. 

Abstract ( 654 )   PDF (655KB) ( 687 )  

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The governing equations of the free vibrations of spherical and cylindrical shellswith a regular singularity. are solved by Frobenius Series Method in the form ofmatrix. Considering the relationship of the roots of the indicial equation, we get somevarious expressions of solutions according to different cases. This work lays afoundation of solving certain elastic problems by analytical method.

THE COUPLE MOTION BETWEEN VESSEL WALL AND BLOOD INTHE ENTRANCE REGION OF A TAPERED VESSEL

Cen Ren-jing;Qin Chan;Tan Zhe-dong

1995, 16(1):  17-25. 

Abstract ( 572 )   PDF (486KB) ( 508 )  

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A problem of couple motion between vessel wall and blood in the entrance regionof a tapered vessel is considered in this paper A mathematical model of co-coupleaction is formed for both motion of vessel wall and blood flow in the entrance regance regionof elastic vessel with tapered angle. Under the situation that the relative boundary conditions are satisfied a.set of velocity distribution formula. pressure distributionformula for the blood flow in a tapered elastic vessel are derived. Some importantconclusions are obtained.

GENERALIZED THEORY OF NONLINEAR AND UNSTEADY MECHANICSAND APPLICATIONS TO PARTICLE PHYSICS

Yang Wen-xiong

1995, 16(1):  27-35. 

Abstract ( 504 )   PDF (470KB) ( 438 )  

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In this paper we consider that the momentum of a free particle motion withhigh-level speed presenting nonlinear effects may be expanded by using Laurent seriesand then obtain the complete expression of nonlinear and unsteady momentum. These nonlinear and unsieady phenoniena of high-level speed may further expand to the theory of kinematics and it may be determined by Fredholm’s integral equation of the first kind. In addition, according to the nonlinear and unsteady momentum obtained the relations of the nonlinear mechanics equations .work and energy, mass and energymay be derived.Finaly .this paper also calculates those experimental results which done in particle physics for mu-mesons u±and fast neutrons n, these results are in agreement with data perfectly.

THE INERTIAL FRACTAL SET FOR WEAKLY DAMPED FORCEDKORTEWEG-DE-VRIES EQUATION

Dai Zheng-de;Zhu Zhi-wei

1995, 16(1):  37-45. 

Abstract ( 617 )   PDF (418KB) ( 443 )  

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In this paper we consider weakly damped forced Korteweg-de-Vries equation withnon-self-adjoint operator. The existence of inertial fractal set M of this equation is proved, the estimates of the upper bounds of fractal dimension for M are alsoobtained.

THE BENDING OF THIN RECTANGULAR PLATES WITH MIXEDSUPPORTED SEGMENTS OF STRAIGHT EDGES

Chen Li-zhi;Fu Bao-lian

1995, 16(1):  47-58. 

Abstract ( 551 )   PDF (506KB) ( 559 )  

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In this paper, the exact analytical solution of the rectangular plate having simplysupported segments mixed with free segments of straight edges are first given by means of the method of reciprocal theorem.By comparison.we calculate the same question by finite element method.Thecomparison shows that the analytical solution is correct.

THE EXISTENCE OF LIMIT CYCLES FOR THE SYSTEM x = Q(x ,y), y = P(x)

Xu Rong-liang;Zhou Guo-cai;Sun Zhao

1995, 16(1):  59-66. 

Abstract ( 598 )   PDF (441KB) ( 424 )  

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In [1], by a transformation on the Liemrd equation system dx/dt=y-F(x), dy/dt=-g(x) (1) such that the trajectories of (1)on both left and right half-planes change into thoseintegral curves of the new equation system merely on the right half-plane,A.F.Hilippov shows that under some certain conditions the stable limit cycles of system (1) must exist.Applying the Filippov’s method on the more generalized system dx/dt=Q(x,y), dy/dt=P(x) (2) this paper provides a sufficient condition for the existence of the stable limit cycles oftvstem (2).

DYNAMIC STRESS INTENSITY FACTORS AROUND TWO CRACKS NEAR AN INTERFACE OF TWO DISSIMILAR ELASTIC HALF-PLANES UNDER IN-PLANE SHEAR IMPACT LOAD

Qian Ren-gen;Shouetsu Itou

1995, 16(1):  67-77. 

Abstract ( 586 )   PDF (567KB) ( 503 )  

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Transient stresses around two collinear cracks which lie in parallel with theinterface of the two dissimilar half-planes are studied in this article.The surfaces ofthe cracks are sheared suddenly. Application of the Fourier and Laplace transforms technique reduces the problem to that of solving dual integrai equations.To solvethese,the differences of.the crack surface displacements are expanded in a series offunctions which are automatically zero outside of the cracks. The unknown coefficients accompanied in the series are determined by the Schmidt method. The stress intensity .factors are defined in the Laplace transform domain and these are inverted numerically in the physical space .As an example ,the dynamic stress intensity factors around two cracks in a ceramic and steel bonded composite are numerically calculated.

NUMERICAL STUDY OF SHOCK DIFFRACTION IN DUSTY GASES

Wu Qing-son;Zhu Hong;Xu Yan-hou;Wang Bo-yi

1995, 16(1):  79-85. 

Abstract ( 695 )   PDF (530KB) ( 2056 )  

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In the present paper. a two -fluid model with interphase coupling effects is appliedto dilute gas-particle systems.In order to study,the characteristics of shock diffraction round a sharp 90 degree corner in the dusty gas, we adopt the operator-spliting technique and high-resolution numerical method,reveal the changes of diffractionpattern due to particle presence,and discuss the effects of particle properties onpost-shock flow field

THE REMAINDER-EFFECT ANALYSIS OF FINITE DIFFERENCE SCHEMES AND THE APPLICATIONS

Liu Ru-xun;Zhou Zhao-hui

1995, 16(1):  87-96. 

Abstract ( 620 )   PDF (564KB) ( 584 )  

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In the present paper two contents are enclosed .First ,the Fourier analysis approach of the dispersion relation and group velocity effect of finite difference schemes is discussed.the defects of the approach is pointed out and the correction is made;Second,a new systematic analysis method -remaider -effect analysis (abbr.REAM)is proposed by means of the modified partial differential equations (abbr MPDE)of finite difference schemes.The analysis is based on the synthetical study of the rational dispersion-and dissipation relations of finite difference schemes.And the method clearly possesses constructivity

AN INTERPOLATION FORMULA OF THE DERIVATIVES OF HIGHER ORDER

Gui Zu-hua

1995, 16(1):  97-100. 

Abstract ( 496 )   PDF (213KB) ( 453 )  

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In this article we shall obtain an interpolation formula passing given a serial points and satisfying initial values of the derivatives of higher order in preceding points Finally we shall give the erroneous estimate of the preceding interpolation formula.