应用数学和力学

1983 Vol. 4, No. 5

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Recent Investigations on Strain and Stress-Rates in Nonlinear Continuum Mechanics

Guo Zhong-heng

1983, 4(5): 587-594.

Abstract(1926) PDF(555)

Abstract:
Presenting some recent considerations and results, the present paper deals with two basic concepts of the continuum mechanics, strain- and stress-rates. Upon a brief systematic survey of concepts of strain and stress, a so far unknown explicit expression for the rate of the right stretch tensor is o...

The Nonlinear Characteristics of U-Shaped Bellows——Calculations by the Method of Perturbation

Chien Wei-zhang, Wu Ming-de

1983, 4(5): 595-608.

Abstract(2111) PDF(574)

Abstract:
In this paper, the linear exact solution and nonlinear solution for U-shaped bellows have been obtained by using the general solution of circular ring shell^[1] and the method of perturbation.

On the Stability of the Rotational Motion of a Rigid Body Having a Liquid Filled Cavity under Finite Initial Disturbance

Li Li

1983, 4(5): 609-620.

Abstract(1914) PDF(608)

Abstract:
In this paper, the problem of the stability of rotational motion of a rigid body which has a liquid filled cavity and a fixed point is investigated. Criteria of stability and instability under finite initial disturbance are obtained, the region of stability is found explicitly and the behaviour of t...

The Double Velocity Correlation Function of Homogeneous Turbulence with Constant Mean Velocity Gradient

Tsai Shu-tang

1983, 4(5): 621-634.

Abstract(1930) PDF(507)

Abstract:
In this article, as the velocity gradient is taken as a constant value, we obtain the solutions of the equation of fluctuation velocity after Fourier transformation.Under the condition of the the mean velocity gradient being small, they represent the picture of eddies, of whick the homogeneous turbu...

Vector Analysis of Spatial Mechanisms——(Ⅲ)Kinematics of Spatial Mechanisms

Yu Xin

1983, 4(5): 635-640.

Abstract(1912) PDF(583)

Abstract:
The instantaneous kinematics for the spatial mechanisms considered in parts(Ⅰ)and(Ⅱ) are here established via the mothods of vector decomposition and vector equations.

Photoelectric-Computer Data Processing(PCP) Program in Experimental Photo-Stress Analysis

An Li-chan, Chen Zhi-da

1983, 4(5): 641-647.

Abstract(2186) PDF(481)

Abstract:
In this paper, a photoelectric-computer data processing(PCP) program in experimental photo-stress analysis is presented. Basic equation of photoelastic stress analysis by Chen(1962) is adopted;and a cubic spline function suitable for processing of photoelastic data is derived. This program requires ...

Exact Solution of Unsteady Axisymmetrical Two- Dimensional Flow through Triple Porous Media

Liu Ci-qun

1983, 4(5): 649-655.

Abstract(1744) PDF(425)

Abstract:
This paper seeks for the line source and cylindrical place source solutions of unsteady aaisymmetrical two-dimensional flow through inlinite and finite reservoirs with triple porosity. They not only reveal the essential characters of fractured reservoirs but also generalize and develop the ezistiag ...

Singular Perturbation of General Boundary Value Problem for Higher-Order Quasilinear Elliptic Equation Involving Many Small Parameters

Lin Zong-chi, Ni Shou-ping

1983, 4(5): 657-670.

Abstract(1821) PDF(546)

Abstract:
In this paper applyiag M. I. Visik and L. A. Lpusternik's^[1] asymptotic method and principle of fixed point of functional analysis, we study the singular perturbation of general boundary value problem for higher order quasilinear elliptic equation in the case of boundary perturbation combined with e...

General Solution of Multi-Valued Displacement Problem of an Eccentric Circular Ring

Tang Ren-Ji, Zhen Ji-qing

1983, 4(5): 671-677.

Abstract(1846) PDF(432)

Abstract:
In this paper,by using Мусхелишвили's method, a multi-valued displacement problem is considered for an encentric circular ring.The general expression of stress function is derived in the bi-polar co-ordinate system, Here its application is explained.

Circular Welding Problems with a Crack

Lu Jian-ke

1983, 4(5): 679-690.

Abstract(1851) PDF(464)

Abstract:
In this paper,the problem of an infinite plane with a circular hole welded by a nearly circular plate with a crack of different material is considered. The problem is transformed to solve certain boundary value problem of analytic functions and then reduced to solve a singular integral equation alon...

Asymptotic Solution to a Nonlinear Diffusion Process by Chien-Latta’s Method

Liang Jian-hua

1983, 4(5): 691-702.

Abstract(1770) PDF(477)

Abstract:
In this paper, by using Chien Wei-zang-Latta's composite expansion Method^[5], we have obtained the first-order asymptotic solution to a system of equations for a nonlinear diffusion process, therefore, simplifying and improving the previous work^[4] considerably. Moreover, a kind of complete analytic...

A Hydrodynamic Design of the Flooding Port of Cell Separator Blood Processor and the Physical Parameters Affecting the Blood Separation

Zhu Yue-rui, Zhang Xiao-ci

1983, 4(5): 703-709.

Abstract(2004) PDF(441)

Abstract:
On the basis of "A Boundary Perturbation Solution for the Hydrodynamic Stability of Blood Flow in a Cone-Type Blood Processor"^[1], this paper analyses the phenomenon of that the stratified blood composition Lecomes a mixture again, which occurs in the process of trial-producing with the blood proces...

Large Deflection of Circular Plate under Compound Load

Hwang Qian

1983, 4(5): 711-720.

Abstract(1961) PDF(674)

Abstract:
By means of the perturbation method, this paper presents an approximate solution for large deflection of clamped circular plate under uniform pressure together with a concentrated load at the center. The special case of vanishing central deflection is also discussed. In this paper, a load distributi...

Finite Element Analysis of Seepage in Viscoelastic Media

Jin Wen-lu, Wu Gan-qing

1983, 4(5): 721-730.

Abstract(2129) PDF(529)

Abstract:
R. S. Sattdhu and E, L, Wilson presented "Finite Element Analysis of Seepage in Elastic Media"^[1], by which complex problems in engineering can be solved, In this paper, it is extended to the case of viscoelastic media, If the soil skeleton is regarded as the viscoelastic media, the stress-strain re...

On the Strong Singular Method for the Problems of Subsonic Flow Past Obstacles

Ye Jing-tang

1983, 4(5): 731-736.

Abstract(1974) PDF(384)

Abstract:
The purpose of this paper is to give a new research for the doublet elementary solution method to solve the problem of subsonic flow. A strong singular integral equation is produced. The definition and the calculating formula of the effective principle value of strong singular integral are given. Fr...