应用数学和力学

1986 Vol. 7, No. 10

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Stress Analysis of Hyperbolic Shells of Revolution with Non Axisymmetrical Geometric Imperfections

Tong Guang-shan, Kye J. Han

1986, 7(10): 867-876.

Abstract(2167) PDF(595)

Abstract:
In analyzing hyperbolic shells of revolution with non-axisymmeteric imperfections, an approximate method based on simulating the effect of imperfections by the application of fictitious normal pressure loading on the perfect shell is investigated. In the analysis of a shell of revolution with a bulg...

Analysis of Adhesive Lap Joint

Zhang Fu-fan

1986, 7(10): 877-885.

Abstract(2103) PDF(570)

Abstract:
This paper is to solve the interlaminar stresses of adhesive lap joint by the energy method without considering the adhesive layer. The joint is made of two identical narrow plates. Two cases are discussed: one is for the isotropic material and the other is for orthotropic material. Because of the d...

Bending Problem of Rectangular Plates of UnidirectionalNonhomogeneity and Variable Thickness with Two Opposite Edges Simply Supported underArbitrary Distributed Loads

Yeh Kai-yuan, Wang Ying-bang

1986, 7(10): 887-895.

Abstract(1988) PDF(552)

Abstract:
Using the step reduction method^[1,2] suggested by the first author of this paper, we investigate the problem indicated in the title and obtain the stepped approximate solutions. As an example, the case of a square plate of linearly varying thickness with four edges simply supported under linearly di...

Study of the Closing Mechanism of Natural Heart Valves

Lei Ming, Kang Zhen-huang

1986, 7(10): 897-905.

Abstract(1950) PDF(671)

Abstract:
At present, then are still some controversial considerations on the closing mechanism of natural heart valves. In this area, a lot of phenomena still remain mysterious, particularly for the mechanism of earlier partial closure of the valve while the blood ejection is still in its acceleration phase....

Existence and Uniqueness of Global Strong Solutions of Two Models in Atmospheric Dynamics

Mu Mu

1986, 7(10): 907-912.

Abstract(1725) PDF(475)

Abstract:
In this paper, the author proves by the methods of energy estimates the existence and uniqueness of global strong solutions of barotropic nondivergent model and baroclinic quasi-geostrophic quasi-nondivergent model.The two models are fundamental ones in atmospheric dynamics. The results here general...

Toupin-Berdichevskii Theorem Can’t Be Considered as a Mathematical Expression of Saint-Venant’s Principle

Zhao Jian-zhong

1986, 7(10): 913-916.

Abstract(2274) PDF(1074)

Abstract:
In this paper the condition and the conclusion of Toupin-Berdichevskii Theorem is examined, where by it is explained and demonstrated with an example that the theorem can't be considered as a mathematical expression of Saint-Venant's Principle in Elasticity.

Further Research on the Bending of the Cantilever Rectangular Plates under a Concentrated Load

Zhu Yan-bin, Fu Bao-lian

1986, 7(10): 917-928.

Abstract(2150) PDF(599)

Abstract:
In this paper we apply the reciprocal theorem^[1] to further research on the bending problem of the cantilever rectangular plate under a concentrated load acting at any of its points. This method is even simpler and more general.

Finite Element Analysis of Non-Newtonian Fluid Flow in 2-D Branching Channel

Su Ming-de

1986, 7(10): 929-936.

Abstract(2069) PDF(588)

Abstract:
This paper presents finite element analysis of non-Newtonian fluid flow in 2-d branching channel. The Galerkin method and mixed finite element method are used. Here the fluid is considered as incompressible, non-Newtonian fluid with Oldyord differential-type constitutive equation. The non-linear alg...

On the Surface Instability of Elastic Half Spaces

Cao Guang-zhong

1986, 7(10): 937-945.

Abstract(2011) PDF(659)

Abstract:
In this paper, we present some work on the surface instability of elastic half spaces. An analysis of surface instability of an incompressible half space under biaxial loading is summarized, and the critical condition for the onset of surface buckling is given. As an example in the case of compressi...

The Axial Symmetrical Edge Problems for Thin Walled Shells of Revolution

Chen Guo-dong

1986, 7(10): 947-957.

Abstract(1999) PDF(568)

Abstract:
In this paper, the uniformly valid asymptotic solutions for the axial symmetrical edge problems of thin-walled shells of revolution in bending are given.