应用数学和力学

The Solution of Large Deflection Problem of Thin Circular Plate by the Method of Composite Expansion

Chien Wei-zang, Chen Shan-lin

1985, 6(2): 103-119.

Abstract(1761) PDF(596)

Abstract:
In this paper, the method of composite expansion in perturbation theory is used for the solution of large deflection problem of thin circular plate. In this method. the outer field solution and the inner boundary layer solution are combined together to satisfy all the boundary conditions. In this pa...

On Computations of Stress Intensity Factors for Stiffened Half-Planes with Imperfections and Cracks

Ouyang Chang, Zhou Shiao-kang

1985, 6(2): 121-133.

Abstract(1578) PDF(490)

Abstract:
In this paper we consider uniform extension problems for joined two half-planes with different thickness and material behavior and one of which contains an elliptical hole, the other contains a crack. Along the boundary of these half-planes there is a stiffening stringer. Computational formulas are ...

The Creeping Motion of Multiple Spherical Liquid Drops

Wu Wang-yi, Zhang Bai-wen

1985, 6(2): 135-143.

Abstract(1852) PDF(451)

Abstract:
This paper deals with the drag factor of the multiple spherical liquid drops in the creeping motion by means of the Sampson singularities and collocation technique. The drag factors of the drops are calculated under distinct conditions: different number of liquid drops in the chain and different sph...

Finite Difference Method of Transient Nonlinear Free Surface Wave Problems

Lu Yu-lin, Li Bao-yuan

1985, 6(2): 145-152.

Abstract(1867) PDF(568)

Abstract:
A finite difference method is developed for computing the two-dimensional transient potential flow generated by an impulse on the free surface. Both the dynamic and kinematic free surface conditions are considered in nonlinear version, the primary features of the present paper include the use of spe...

The Relationship between the Stability and the Optimality of Linear Systems——Another Kind of the Inverse Problem of Linear Optimal Control

Chen Xiao-lin, Hwang Ling

1985, 6(2): 153-160.

Abstract(2277) PDF(576)

Abstract:
Different from the inverse problem put forward by R. E. Kalman, another kind ofinverse problem of linear optimal control is proposed and dicussed in this paper.

A Rigorous Solution for the Axisymmetrical Buckling of Simply Supported Cylindrical Sandwich Shells under Axial Load

Wang Zhen-ming, Dai Fu-ling

1985, 6(2): 161-173.

Abstract(1948) PDF(462)

Abstract:
In this paper, based on Ref. [1] the axisymmetrical buckling of simply supported cylindrical sandwich shells under the action of uniform axial lood is solved by a rigorous method. The classical theory of shells is used for the two face sheets and the core is considered as a three-dimensional elastic...

On the Problems of Buckling of an Annular Thin Plate

Qin Sheng-li, Zhang Ai-shu

1985, 6(2): 175-190.

Abstract(2096) PDF(572)

Abstract:
In this paper, problems of buckling of on annular thin plate under the action of in-plane pressure and transverse lood are studied by using the method of multiple scales. We obtain N-order uniformly valid asymptotic expansion of the solution. In the latter part of this paper we discuss a particular ...

The Antiplane Problem of Double Period Non-Uniform Distribution Crack Field

Hao Tian-hu, Cheng Ji-da, Yu Jia-sheng

1985, 6(2): 191-196.

Abstract(1969) PDF(598)

Abstract:
Originating from Robert Hooke's law and equilibrious equations, and using the theory of the complex variable function, this paper transfers the rectaugle region in which the cracks emerge into upper-half part of ζplane by means of conformal mapping. Then according to the theory of ref.[1]. We find t...

1985, 6(2): 197-197.

Abstract(1798) PDF(446)

Abstract:

1985 Vol. 6, No. 2