应用数学和力学

1993 Vol. 14, No. 9

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Numerical Solutions for Singularly Perturbed Semi-linear Parabolic Equation

Wu Qi-guang, Li Ji-chun

1993, 14(9): 753-761.

Abstract(2226) PDF(473)

Abstract:
In this paper, we discuss singularly perturbed semi-linear parabolic equations for one dimension and two dimension, we find numerical solutions by using both the line-method and the exact difference scheme on a special non-uniform discretization mesh. The uniform convergence in ε of the first order ...

Section Theorems, Coincidence Theorems and Intersection Theorems on H-Spaces with Applications

Zhang Shi-sheng, Zhang Yin

1993, 14(9): 763-774.

Abstract(2089) PDF(554)

Abstract:
The purpose of this paper is to study the section theorems, coincidence theorems and intersection theorems on H-spaces. As a way of application, we use these results to study the existence problems of solutions for minimax inequalities and variational inequalities. The results presented in this pape...

The Analyses of the Three-Dimensional Stress Structurenear the Crack Tip of Mode I CT Specimens in Elastic-Plastic State Part 2:The Analyses of the Stress Structure

Yue Z. F., Zheng C. Q.

1993, 14(9): 775-785.

Abstract(2193) PDF(540)

Abstract:
Based on [1], the stress structures of the smooth region and shear lip of the specimens have been investigated in the paper.The characteristics of the stress structure in the smooth region have been found that the variable z can be separated out;the stresses in the midsection can be obtained by the ...

The Numerical Method for Analysing the Transient Temperature Field and Transient Phase Transformation of Metal Materials in Heat Treating

Yuan Fa-rong, Yang Shu-shen

1993, 14(9): 787-792.

Abstract(1962) PDF(735)

Abstract:
In this paper, the Kirchhoff's transformation is popularized to the nonlinear heat conduction problem which the heat conductivity can be expressd as a multinomial of temperature firstly, the boundary condition of heat conduction problem is determined by analytics.Secondly, the incubation peroid supe...

A Study on Flow Resistance in the Entrance Region of Isosceles Triangular Ducts

Zhu Shi-xing, Wang Zhi-qing

1993, 14(9): 793-807.

Abstract(2224) PDF(666)

Abstract:
In the present paper the variational solution of velocity profile for an incompressible laminar and fully developed flow in isosceles triangular ducts is derived by applying the Kantovorich method. The theoretical and experimental results of pressure loss are also given. The velocity distribution mo...

An Analysis of Hemodynamics of the Anterior Descending Branch of the Arteria Coronaria Sinistra

Huang Jing-quan, Li Jing-mei

1993, 14(9): 809-813.

Abstract(2600) PDF(630)

Abstract:
This paper analyses the anterior descending branch of the arteria coronaria sinistra from the view of hemodynamics.The results show that the branching of the anterior descending branch with an angle of 90° at the opening and the formation of the mural arteria coronaria are the hemodynamic characteri...

Summation of Fourier Series with Parameter by Laplace Transforms

Bu Xiao-ming

1993, 14(9): 815-822.

Abstract(2244) PDF(430)

Abstract:
In this paper, the theorems concerning the summation of Fourier series with parameter are given by using the Laplace transforms. By means of the known result of Laplace transforms, many new, important problems of summation of Fourier series with parameter in mechanics can be solved.

The Application of the Asymptotic Method to a Class of Strongly Nonlinear Systems

Xie Liu-hui

1993, 14(9): 823-828.

Abstract(2425) PDF(480)

Abstract:
In this paper, according to the form of the asymptotic solution of papers [1,2], the asymptotic method is extended to the following a class of more general strong nonlinear vibration systems where g and f are the nonlinear analytical-functions of x and , and ε>0 is a small parameter. We assume th...

Generalized Dynamic Model for Multibodies Manipulator

Zhao Yu-shan, Gu Liang-xian

1993, 14(9): 829-833.

Abstract(2338) PDF(565)

Abstract:
In this paper the general dynamical equations were given for multibodies manipulator. The system is a topologic tree structure consisting of arbitrary number of rigid bodies. The hinges allow the rotational and/or tranlalional motion. In consideration of influence of friction the dynamic equations a...

Bifurcations of Periodic Solutions for Plane Mappings

Cao Jin-de, Li Qiong

1993, 14(9): 835-840.

Abstract(1974) PDF(553)

Abstract:
In this paper, using some techniques, we prove that there exists the regular homodinic point for Taylor mapping with 4<A≤1.5π and motion of bouncing ball with 4<r≤1.5π. This result implies that the corresponding systems have infinitely many distinct periodic points.

The Limiting Stokes Wave with Finite Water Depth

Ma Yu, Chen Yao-song

1993, 14(9): 841-844.

Abstract(1839) PDF(430)

Abstract:
In this paper we extend the method developed in[1] for limiting Stokes wave of infinite water depth to cover the case of finite depth. The method has high efficiency and the result is accurate.