应用数学和力学

1992 Vol. 13, No. 10

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Large Deflection Problem of a Clamped Elliptical Plate Subjected to Uniform Pressure

Chien Wei-zang, Pan Li-zhou, Liu Xiao-ming

1992, 13(10): 857-871.

Abstract(2396) PDF(569)

Abstract:
In this paper,the perturbation solution of large deflection problem of clampedelliptical plate subjected to uniform pressure is given on the basis of the perturbationsolution of large deflection problem of similar clamped circular plate (1948)^[1],(1954)^[2].The analytical solution of this problem was...

A Uniform High-Order Method for a Singular Perturbation Problem in Conservative Form

Wu Qi-guang, Sun Xiao-di

1992, 13(10): 873-880.

Abstract(2366) PDF(533)

Abstract:
A uniform high-order method is.presented for the numerical solution of a singular perturbation problem in conservative form.We firest replace the original second-order problem (1.1) by two equivalent first-order problems (1.4),i.e.,the solution of (1.1) is a linear combination of the solutions of (1...

Finite Layer Analysis for Semi-Infinite Soils (Ⅰ)——General Theory

Yang Zheng-wen, Loo Wen-da

1992, 13(10): 881-890.

Abstract(2306) PDF(609)

Abstract:
In the present paper a finite layer method is studied for the flastodynarnics of transverse isotropic bodies.With this method,semi-infinite soils can be considered as an transverse isotropic half-space,its material functions varying with depth.Dividing the half-space into a scries of layers in the d...

Finite Element Analysis for Consolidation in Interaction between Structure and Saturated Soil Foundation

Zhang Hong-wu, Zhong Wan-xie, Qian Ling-xi

1992, 13(10): 891-899.

Abstract(2028) PDF(573)

Abstract:
The consolidation analysis of interaction between structure and saturated soil foundation is discussed.With the use of substructure technique,the structure is condensed onto the interface of the soil,and then the consolidation governing equations to describe the interaction between soil and structur...

An Engineering Formula on the Calculation of Oblique Penetration by Long-Rod Projectile

Wang Li-ren

1992, 13(10): 901-906.

Abstract(2162) PDF(487)

Abstract:
Based on the concept supposed in this paper that damage of a target is determined by momentum rather than by stress,an engineering formula on the calculation of oblique penetration by long-rod projectile is established.The results calculated from this formula show good agreements with experimental d...

Applications of the Signs of Melnikov’s Function

Shen Jia-qi

1992, 13(10): 907-910.

Abstract(2138) PDF(551)

Abstract:
The existence and stability ol periodic solutions for the two-dimensional system x'=f(x)+εg(x,a),0<ε<<1,a∈R whose unperturbed systemis Hamiltonian can be decided by using the signs of Melnikov's function.The results can be applied to the construction of phase portraits in the bifurcation se...

On the Coupled Vibration of an Ideal Fluid with a Linear Elastic Structure

Huang Zheng-ming

1992, 13(10): 911-924.

Abstract(1997) PDF(617)

Abstract:
The purpose of this paper is to analyse theoretically and numerically the coupled vibration of an ideal fluid with a linear elastic structure,It is proved in the paper that the natural frequencies of the coupled vibration do exist and are all real positive.The paper presents an efficient method to t...

A Fully Elliptic Calculating Procedure for Three Dimensional Thermal Pollution

Li Jia, Zhao Wen-qian, Luo Lin

1992, 13(10): 925-933.

Abstract(1910) PDF(510)

Abstract:
The use of the mathematical models so far for three-dimensional flow has some limitations because of their simplifications.Many characteristics of the flow field can not be predicted by these models.In this paper the three dimensional elliptic governing equations are solved by finite-volume methods;...

A Free Rectangular Plate on Elastic Foundation

Cheng Xiang-sheng

1992, 13(10): 935-940.

Abstract(2252) PDF(630)

Abstract:
This article will discuss the bending problems of the rectangular plates with free boundaries on elastic foundations.We talk over the two cases,that is,the plate acted on its center by a concentrated force and the plate subjected to by a concentrated force equally at four corner points respectively....

The Existence of Solution of a Class of Two-Order Quasilinear Boundary Value Problem

He Qing, Ji Chun-ci

1992, 13(10): 941-944.

Abstract(1621) PDF(445)

Abstract:
Ref.[1] discussed the existence of positive solutions of quasilinear two-point boundary problems: but it restricts 0<α<1<β.This article proves the existence of positive solution to this equation: