应用数学和力学

1986 Vol. 7, No. 3

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Interior Layer Phenomena of Semilinear Systems

Lin Zong-chi, Lin Su-rong

1986, 7(3): 197-204.

Abstract(1783) PDF(548)

Abstract:
In this paper, we study the interior layer phenomena of singular perturbation boun-dary value problems for semilinear systems:
εy″=f(t,y,ε) (ay(a,ε< br="">)=A(ε), y(b,ε)=B(ε)where
ε>0 is a small parameter, y, f, A and B arc n-dimensional vector functions, This vector boundary value problem does not appear...

Subharmonic Solution of a Piecewise Linear Oscillator with Two Degrees of Freedom

Chen Yu-shu, Jin Zhi-sheng

1986, 7(3): 205-213.

Abstract(2339) PDF(582)

Abstract:
In the present paper subharmonic resonance solution of a piecewise linear loscillator with two degrees of freedom is studied, It is shown that in this system there eaist a series of subharmonic resonance solutions, among them there are 1/2, 1/3, 1/4,1/5,1/6, …subharmonic resonance solutions, The cal...

The Method of Mixed Boundary Condition for a Kind of Linear and Nonlinear Composite Structure

Chen Shan-lin, Zhang Li-ying

1986, 7(3): 215-224.

Abstract(2196) PDF(455)

Abstract:
This paper deals with the aaisymmetrical deformation of shallow shells in large deflection, which are in conjunction with linear elastic structures at the boundary. A method of mired boundary condition for this problem is introduced, then the problem of a composite structure is transformed into a pr...

Plastic Analysis of Thin Plates with Anisotropic Hardening

Jing Yong-jie

1986, 7(3): 225-234.

Abstract(1960) PDF(537)

Abstract:
In this paper we discuss the adoption of the anisotropic hardening model due to the existence of Bauschinger effect when thin plate is applied by repeated loading, The loading condition of thin plates for linear kine matic hardening has been deduced in terms of generalized forces and generalized pla...

Nonlinear Oscillation of a Two-Dimensional Lift Body

Wang Mao-hua

1986, 7(3): 235-238.

Abstract(1678) PDF(389)

Abstract:
It is very difficult to obtain an enact analytical solution to a nonlinear ordinary differential equation,so till now analytical solutions are rare in this area, The author has obtained the exact analytical solutions of this type of nonlinear oscillations, In this paper as an example,the exact analy...

Contact Problem of Rubber Rings with Large Deformation

Lü He-xiang

1986, 7(3): 239-248.

Abstract(1808) PDF(754)

Abstract:
A combined problem with and linear elastic thin plate of the influence of frictional frictional contact between a rubber ring with large deformation is solved by means of the substructuring technique, A study coefficient and the influence of plate thickness is presented.

Uniformly Convergent Difference Method for the Convection-Diffusion Singular Perturbation Problem in a Curved Boundary Region

Sheng Qin

1986, 7(3): 249-258.

Abstract(1843) PDF(448)

Abstract:
In this paper we construct a difference scheme for the convection-diffusion.singular perturbation problem in a convex curved boundary region, and discuss the uniform convergence of its solution. We have proved that the, order of uniform convergence of its solution is O(h^β+τ^β/2)(0<β<1/2),where ...

On Problems of Optimal Design of Shallow Shell with Double Curvature on Elastic Foundation

Cheng Xiang-sheng

1986, 7(3): 259-263.

Abstract(2034) PDF(459)

Abstract:
The present paper discusses a method of optimal design of the shallow shell, with double curvature on the elastic foundation, Substantially we take the initial flexural function as the control function or design variable which will be found and the potential energy of the eternal loads as the criter...

Random Region Function and Its Applications

He Chong

1986, 7(3): 265-271.

Abstract(2071) PDF(448)

Abstract:
This paper establishes some basic concepts of the random region and random region function, From these concepts and with the existence of a random stable point of a random region function of the random region, the necessary and sufficient conditions of the existence of a random stable centre of any ...

The Transformation Function Φ and the Condition Needed for KUR Space Having the Fixed Point

Gu An-hai

1986, 7(3): 273-277.

Abstract(2196) PDF(454)

Abstract:
In the last several years some progress has been made in the study of the properties of the extent of Banaeh space: In 1979, for example, when SuiIIivan discussed a related characterization of real L^P(x) space,he used uniform behavior of all two-dimensional subspace and defined this concept of a KUR...

Determination of Expression of Continuous Damage Parameter for Non-Ageing Materials Under Constant Tensije Load

Cheng Yuan-sheng

1986, 7(3): 279-284.

Abstract(2041) PDF(448)

Abstract:
Under constant uniazial tensile load continuous damage parameter for non-ageing brittle materials may be ezpressed as
w(P/A₀)=g(P/A₀)+f₁(P/A₀)f₂(t)
The determination of the expression for g(P/A₀)had been pointed out by[4].Hut how to determine the expressions for f₁(P/A₀)and f₂(t), the solution to this...