应用数学和力学

1987 Vol. 8, No. 9

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Nonlinear Analyses for the Postbuckling Behaviors of Annular and Circular Plates

Jiang Fu-ru

1987, 8(9): 755-770.

Abstract(1990) PDF(688)

Abstract:
In this paper we apply the modified method of multiple scales to study the postbuckling behaviors of annular and circular thin plates. The asymptotic solutions have been constructed, the ultimate loads have been determined, and the relations-between the length of twisted waves formed by buckling and...

On the Circular Footing Plates on Two-Parameters Foundation under Arbitrary Loads

Loo Wen-da, Wang Shu

1987, 8(9): 771-778.

Abstract(1959) PDF(441)

Abstract:
Modelling soils by two-parameter foundation model, this paper calculates the distributions of displacements of circular footing plates on soils and reactions of soils under arbitrary loads using semi-analytical finite element method. And it improves F.Z. Vlazov's solution in the case of axisymmetry....

Some Comments on the Original Kaluza-Klein Theory

Amjad Pervez, Asghar Qadir

1987, 8(9): 779-780.

Abstract(3201) PDF(531)

Abstract:
In this note the basis of the Kaluza-Klein theory is examined critically and it is pointed out that the five-dimensional version can't work in the way that was originally intended. The reason why the problem was not noted originally is elucidated.

The Effect of the Hydrodynamic Interaction on the Rheological Properties of Hookean Dumbbell Suspensions in Steady State Shear Flow

Fan Xi-jun

1987, 8(9): 781-789.

Abstract(1993) PDF(473)

Abstract:
The diffusion equation for the configurational distribution function of Hookean dumbbell suspensions with the hydrodynamic interaction(HI) was solved, in terms of Galerkin's method, in steady state shear flow;and viscosity,first and second normal-stress coefficients and molecular stretching were the...

Conservation Integrals and Determination of HRR Singularity Fields

Wang Ke-ren, Wang Zi-qiang

1987, 8(9): 791-797.

Abstract(1875) PDF(506)

Abstract:
The angular distribution functions of HRR singularity fields are analyzed via conservation integrals. Two functional equations are proved for the angular distribution-functions andean be used for their solutions. The detailed forms of the functional equations and the final governing equations for so...

Asymmetrical Growing Delta

Tao Ming-de

1987, 8(9): 799-804.

Abstract(1938) PDF(462)

Abstract:
In this paper, a nonlinear partial differential equation governing a change of shoreline is derived, its solution is expanded as an asymptotic series in a small parameter. Then the Green function is obtained by means of Fourier transform and the solution is expressed using the Green function. The re...

On Discontinuous Period Solution and Discontinuous Solitary Wave of Two-Dimension Shallow Water Equation

Huang Si-xun

1987, 8(9): 805-812.

Abstract(1703) PDF(485)

Abstract:
In this paper we discuss discontiunuous periodic solution and discontinuous solitary wave of the shallow water model of geophysical fluid dynamics. When we consider the properties of trajectory near non-equiubrium point, i.e. singular point, we find that if we introduce the concept of generalized so...

The Asymptotic Solutions of Axisymmetrical Problems for the Cylindrical Shells with Varying Wall Thickness

Chen Guo-dong

1987, 8(9): 813-824.

Abstract(1896) PDF(543)

Abstract:
In this paper,the uniformly valid asymptotic solutions of axisymmetrical problems for the cylindrical shells with varying wall thickness are given.

Laminar Boundary Layer between Two Planes Perpendicular to Each Other

Yuan Yi-wu

1987, 8(9): 825-831.

Abstract(1798) PDF(499)

Abstract:
In this paper, we obtain a third-order approximate solution for the laminar boundary layer between two planes perpendicular to each other.In boundary layer equations, the viscous and the inertial terms have the same quantity step. In this paper, at first, supposing that the inertial terms are bigger...

Chaotic Behavior of the Measure-Preserving Mappings with Odd Dimension

Cheng Bao-long

1987, 8(9): 833-838.

Abstract(1888) PDF(558)

Abstract:
In this paper, we consider the measure-preserving mapping C with dimension 3 which is also the expansion of Henon mapping. Then we study the character of its fixed points and chaotic behavior. Next we offer a possibility that using the chaotic behavior of the lower dimensional mappings brings about ...

Analysis of the Motion of a Gyro-theodolite

Wang Hong-lan

1987, 8(9): 839-848.

Abstract(2035) PDF(727)

Abstract:
With the method of analytical mechanics, this paper studies the motions of a gyro-theodolite under the action of(1) the torque of gravity only,(2) the torque applied by the band suspension,(3) the torque of the band suspension with air damping considered, the equations of motion are then established...