应用数学和力学

1986 Vol. 7, No. 2

Select articles

Display Method:

Road to Chaos for a Soft Spring System under Weak Periodic Disturbance

Liu Zeng-rong, Yao Wei-guo, Zhu Zhao-xuan

1986, 7(2): 103-108.

Abstract(1973) PDF(670)

Abstract:
The Mel'nikov-Holmes method is used to discuss the road to chaos for an elastic system with soft spring constant and under weak periodic disturbance. It is found that according to how the disturbance is applied, forced vibration or parametric excitation, the response may pass to chaos through differ...

The Response Analysis of Several Nonlinear Isolation Systems Subjected to Random Excitation

Zhuang Biao-zhong, Chen Nai-li, Fu Bo, Gao Zhan

1986, 7(2): 109-1114.

Abstract(2130) PDF(533)

Abstract:
The nonlinear isolation system is popular in modern isolation mounting. By using Fokker-Planck equation and the statistical linearization met hod and under the condition of random excitation are discussed in this article the best damping selection of the dashpots of the stiffening nonlinear stiffnes...

On the Problem of Axisymmetrically Loaded Shells of Revolution with Small Elastic Strains and Arbitrarily Large Axial Deflections

Huang Qian

1986, 7(2): 115-125.

Abstract(2322) PDF(705)

Abstract:
For the problem of axisymmetrically loaded shells of revolution with small elastic strains and arbitrarily large axial deflections, this paper suggests a group of state variables: radial displacement u, axial displacement w, angular deflection of tangent in the meridian X. radial stress resultant H ...

Pansystems Research on a Type of Fixed Subsets

Li Gui-hua

1986, 7(2): 127-132.

Abstract(2277) PDF(500)

Abstract:
The present paper continues the pansystems research, on fixed suhsi is. Unier ihe pansystems framework it gives the existence criterion of I-type fixed subsets, and the theorems about the relations between the classes of reflexive and equivalent relations and fixed subsets; introduces the concept of...

Fixed Point Theorems for Fuzzy Mapping(Ⅱ)

Zhang Shi-sheng

1986, 7(2): 133-138.

Abstract(2181) PDF(495)

Abstract:
This paper presents some new fixed point theorems for fuzzy mappings. The results given in this paper improve and extend some recent results of [1, 4, 5].

The Periodic Cracks of an Infinite Anisotropic Media for Plane Skew-Symmetric Loadings

Cai Hai-tao

1986, 7(2): 139-144.

Abstract(1963) PDF(503)

Abstract:
This paper attempts to solve the periodic crack problems of infinitive anisotropic media for plane skew-symmetric loadings by means of the method of complex function. The problems are now reduced to the determination of two complex functions that must satisfy certain boundary conditions. In this pap...

A Difference Method for Singular Perturbation Problem of Hyperbolic-Parabolic Partial Differential Equation

Sheng Jin-reng

1986, 7(2): 145-153.

Abstract(1878) PDF(612)

Abstract:
In this paper we constructed an exponentially fitted difference scheme for singular perturbation problem of hyperbolic-parabolic partial differential equation. Not only do we take a fitting factor in the equation, but also we put one in the approximation of second initial condition. By means of the ...

Representing General Solution of Equations in Theory of Elasticity by Harmonic Functions

Nie Yi-yong

1986, 7(2): 155-160.

Abstract(2145) PDF(513)

Abstract:
The general solution of the equations in the theory of elasticity is represented by seven harmonic functions, where there are only three harmonic functions independent of each other and every one of them has certain mechanics meaning. The examples applying the general solution to solve several simpl...

Application of Subregion Function Method in the Method of Weighted Residuals

Qian Guo-zhen

1986, 7(2): 161-167.

Abstract(1744) PDF(505)

Abstract:
In this paper, a new concept of subregion function method is suggested. According to the boundary shape and the stiffness and loading conditions of the structure, the original zone of the structure is divided into some subregions, in each of which different trial functions may be adopted. Conditions...

The Theorem of the Stability of Linear Nonautonomous ystems under the Frequently-Acting Perturbation

Zhang Shu-shun

1986, 7(2): 169-171.

Abstract(1670) PDF(551)

Abstract:
In the paper a theorem on the stability of linear nonautonomous system under the frequently-acting perturbation has been given and proved on the basis of Malkin's Theorem.

Function of Region

Ho Chong

1986, 7(2): 173-179.

Abstract(2080) PDF(465)

Abstract:
The purpose of this paper is to extend points function and interval functions theoretics to an arbitrary region. For this, the new theory, the contraction of a region, and the retraction of a region; the extension of a region, and the kernel-preserving extension of a region are established by the au...

The Finite Element Technique for Predicting the Natural Frequencies, Mode Shapes and Damping Values of Filamentary Composite Plates

Lin Dun-xiang, Ni Rong-gen

1986, 7(2): 181-196.

Abstract(1876) PDF(830)

Abstract:
This article presents the numerical method for predicting the natural frequencies, mode shapes and damping values of filamentary composite plates. This method is based on finite element technique, using damped element and allowing transverse shear deformation. For the example of this technique, the ...