应用数学和力学

1989 Vol. 10, No. 6

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The Displacement Wave Theory of Blood Vessel

Yuan Fan, Wu Wang-yi

1989, 10(6): 469-476.

Abstract(1862) PDF(1130)

Abstract:
On the basis of the medical and mechanical analysis and explanations in this paper the visco-elastic simply supported beam model is proposed to treat the displacement wave of the blood vessels. The relationships between the displacement wave and blood vessel elasticity as well as the viscous dissipa...

Topologieal Degree Theofy and Fixed Point Theorems in Probabilistic Metric Spaces

Zhang Shi-sheng, Chen Yu-qing

1989, 10(6): 477-486.

Abstract(2156) PDF(705)

Abstract:
The Leray-Schauder topological degree theory is established in the probabilistic linear normed spaces. Based on this theory, some fixed point theorems for mappings in the probabilistic linear normed spaces are shown.

The Curved Beam Element and Its Convergence Rate

Lü He-xiang, Tang Li-min, Liu Xiu-lan

1989, 10(6): 487-498.

Abstract(2084) PDF(598)

Abstract:
The quasi-conforming element of the curved beam and shallow curved beam is given in this paper. Numerical examples illustrate that the quasi-conforming elements of the curved beam and shallow curved beam which is used to approximate the curved beam have better accuracy than the straight beam clement...

The Stability and Convergence of the Finite Analytic Method for the Numerical Solution of Convective Diffusion Equation

Sun Yu-ping, Wu Jiang-hang

1989, 10(6): 499-505.

Abstract(1961) PDF(734)

Abstract:
In this paper we make a close study of the finite analytic method by means of the maximum principles in differential equations and give the proof of the stability and convergence of the finite analytic method.

Incremental Analysis for Nonlinear Rubber-Like Materials by Hybrid Stress Finite Element

Fan Jia-qi, Yang Xiao-xiang

1989, 10(6): 507-515.

Abstract(1889) PDF(524)

Abstract:
In this paper, on the basis of the incremental Reissner variational principle.a nonlinear finite element analysis has been accomplished and a formulation of hybrid stress element has been presented for incompressible Mooney rubber-like materials. The corrected terms of the non-equilibrium force and ...

A Hybrid FEM Algorithm for Fluid Flow in a Visco-Elastic Pipe

Chen Yao-song, Cao Nian-zheng

1989, 10(6): 517-622.

Abstract(1779) PDF(445)

Abstract:
A variational principle of hybrid FEM is proposed to solve the flow in a visco-elaslic pipe. As an example, the influence of an axisymmetrical stenosis on an artery vibrating flow with a single frequency is calculated.

The Interaction of a Shock Wave with the Boundary Layer in a Reflected Shock Tunnel

Xu Li-gong

1989, 10(6): 523-529.

Abstract(2084) PDF(720)

Abstract:
The influence of a nontotal reflection on the interaction of a reflected shock wave with the boundary layer in a reflected shock tunnel has been investigated. The calculating method of the velocity, the temperature and the Mach number profiles in the boundary layer in reflected shock fixed coordinat...

Hopf-Landau Bifurcations of Higher Dimensional Tori

Cheng Chong-qing

1989, 10(6): 531-538.

Abstract(1702) PDF(456)

Abstract:
The existence of degenerate bifurcations from T^m to P_m+1 is provedunder the condition of quasi-periodic critical points.

Torsion of Circular Cylinders Containing n Circular Holes

Yin Chang-yan

1989, 10(6): 539-546.

Abstract(1871) PDF(472)

Abstract:
In the present paper by using complex variable methods in linear elasticity and by-means of analytic continuation, the author obtains for this problem a complex torsional function, shear stress components, displacement components,the lorsional rigidity and shear stresses on boundaries expressed in t...

A Note on the Completeness of Hu Hai-chang’s Solution

Wang Min-zhong, He Bei-chang

1989, 10(6): 547-552.

Abstract(1942) PDF(572)

Abstract:
In this paper it is showed that Hu Hai-chang's solution for the isotropic is complete in case of regions convex in z-direction.

The Asymptotic Expansions of Singularly Perturbed Boundary Value Problems

Zhou Qin-de, Li Yong

1989, 10(6): 553-557.

Abstract(1973) PDF(544)

Abstract:
In this paper we study the singularly penurbed boundary value problem:εy"=f(t,y,ε), y(0)=ξ(ε),y(1)=η(ε), where ε is a positive small parameter In the conditions:f_y(0,y,0)≥m₀,f_y(1,y,0)≥m₀ and f_y(t,y,ε)≥0, we prove the existences, and uniformly valid asymptotic expansions of solutions for the given bo...