应用数学和力学

1988 Vol. 9, No. 6

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Dynamic Solution of Hyperbolic Cooling Tower with Nonsymmetric Imperfections by Finite Element Method

Gao Shi-qiao, Lu Wen-da

1988, 9(6): 475-480.

Abstract(1836) PDF(577)

Abstract:
In this paper, an apprf dmate method is established to solve the couple problem between different harmonic waves in terms of the needs of nonsymmetric imperfections of cooling tower. By means of this method, the frequencies and response of rotational shell with local geometric imperfections are anal...

Transient Spherical Flow of Non-Newtonian Power-Law Fluids in Porous Media

Liu Ci-qun

1988, 9(6): 481-485.

Abstract(1938) PDF(583)

Abstract:
The transient spherical flow behavior of a slightly compressible, non-Newtonian, power-law fluids in porous media is studied. A nonlinear partial differential equation of parabolic type is derived. The diffusivity equation for spherical flow is a special case of the new equation. We obtain analytica...

Properties of a Half Space Including a Twisted Shaft of Revolution

Yun Tian-quan

1988, 9(6): 487-490.

Abstract(1700) PDF(505)

Abstract:
The properties of an elastic half space including a partly embedded twisting shaft of revolution are studied. Without knowing the exact solution of the torsion problem of a given embedded shaft, these properties can indicate some features of the displacement or stress field of the half space and can...

Stress Functions for Central Straight Cracked Anisotropic Plates

Duan shu-jin, Nakagawa Ken-ji

1988, 9(6): 491-498.

Abstract(2082) PDF(546)

Abstract:
In this paper, the plane problem for an anisotropic plate with a central straight crack in any direction is solved. The stress functions are given to represent the finite stress concentrations near the crack tips by the weight integral methcd. It shows that there is no stress singularity at the crac...

Fourier Series of Rational Fractions of Jacobian Elliptic Functions

Wan Shi-dong, Li Ji-bin

1988, 9(6): 499-513.

Abstract(2292) PDF(671)

Abstract:
In this paper more than ninety of the Fourier series of rational fractions of Jacobian elliptic functions sn(u.k), cn(u.k) and dn(u.k) are listed, which cannot be found in the, handbook and Ref. [2]. For the detection and study of chaotic behavior and subharmonic bifurcations in a two-dimensional Ha...

A Boundary Layer Theory for the Buckling of Thin Cylindrical Shells under External Pressure

Shen Hui-shen, Chen Tie-yun

1988, 9(6): 515-528.

Abstract(2430) PDF(752)

Abstract:
Based on the boundary layer theory for the buckling of thin elastic shells-suggested in ref. [14], the buckling and postbuckling behavior of clamped circular cylindrical shells under lateral or hydrostatic pressure is studied applying singular perturbation method by taking deflection as perturbation...

The Bending, Stability and Vibrations of Rectangular Plates with Free Edges on Elastic Foundations

Cheng Xiang-sheng

1988, 9(6): 529-533.

Abstract(1893) PDF(678)

Abstract:
This paper discusses the problems of the bending, stability and vibrations of the rectangular plates with free boundaries on elastic foundations. In the present paper we select a flexural function, which satisfies not only all the boundary conditions of free edges but also the conditions at free cor...

The Bounded Solution of a Class of Differential-Difference Equation of Advanced Type and Its Asymptotic Behavior

Lin Yi-zhong

1988, 9(6): 534-542.

Abstract(1905) PDF(611)

Abstract:
In this paper, we consider the differential-difference equation of advanced type with perturbation term. It is shown that if the bounded solution of the reduced equation has negative exponential order and the perturbation term f satisfies certain condition, then the bounded solution of the perturbat...

The Study of Applicability for PLK Method

Tan Jun-yu

1988, 9(6): 543-551.

Abstract(1817) PDF(442)

Abstract:
This paper researches the applicability of the PLK method. We give the general formulae of the asymptotic solution and strained coordinates, and we establish necessary conditions for the applicability PLK method. Besides, the applicability of the approach is also exemplified by means of examples in ...

The Axial Symmetrical Problems of a/r₂>1 Toroidal Shells with Constant Thickness

Chen Guo-dong

1988, 9(6): 553-558.

Abstract(1724) PDF(478)

Abstract:
In this paper, the uniformly valid asymptotic solutions for the complex equation of the axial symmetrical problems of a/r₂>0 toroidal shells with constant thickness in bending theory are given.

Analysis to the Stress Construction at the Vicinity of Crack Tip for Mode I Fracture in 3-D State Using Finite Element Method

Chen Xiao-ming, Guan Zhong-xin, Zhuang Jia-lin

1988, 9(6): 559-566.

Abstract(1928) PDF(508)

Abstract:
The stresses and strains are calculated for CT specimen of power hardening material in 3-D deformation state using ADINAfinite element program, and the stress distribution at the vicinity of crack tip for Mode I fracture is analysed according to the results of calculation. It is found that the expre...