1987 Vol. 8, No. 11

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Variational Methods for the Problems of Nonconservative Force Fields in the Micropolar Elastodynamics
Dai Tian-min, Fu Ming-fu, Lin Zhong-xiang, Yang De-pin
1987, 8(11): 943-952.
Abstract(1770) PDF(540)
Abstract:
Based on the properties of the convolution and the convolute commutation,some quasi-variational principles for the problems of nonconservative force field in the micropolar elastodynamics are given and verified in this paper.The theorem given in this paper can be applied to the theories of the nonlo...
The Effect of Local Geometric Imperfections of Rotational Shell on Its Natural Frequencies and Models
Loo Wen-da, Gao Shi-qiao
1987, 8(11): 953-958.
Abstract(1744) PDF(504)
Abstract:
In this paper,an additional stiff ness matrix of meridional geometric imperfections was formed by considering the geometric imperfections as initial displacements based on reference[7].Then,natural frequencies and models of rotational shell with symmetric geometric imperfections were analysed by per...
Photoviscoelasticity-an Experimental Method in Viscoelastic Stress Analysis
Karl-Hans Laermann
1987, 8(11): 959-966.
Abstract(2018) PDF(497)
Abstract:
In this paper,the photoviscoelasticity method of viscoelastic stress analysis has been discussed in detail.lt is shown that,in order to avoid the effects of shrinkage andaging in the test specimens,it is suggested that the specimens should be tempered for three days at a temperature of 60℃ before st...
On Singularly Perturbed Quasilinear Systems
Liu Guang-xu
1987, 8(11): 967-976.
Abstract(1856) PDF(538)
Abstract:
In this paper,the objective is to give sufficient conditions for the existence of solution of the nonlinear two-point boundary value problem(1.1).And we employ these-results to consider the boundary layer phenomena of the quasilinear weakly coupled singularly perturbed system(DP)q.
Instability of Hagen-Poiseuille Flow for Axisymmetric Mode
Wang F. M., J. T. Stuart(F. R. S.)
1987, 8(11): 977-984.
Abstract(2172) PDF(409)
Abstract:
An investigation is described for instability problem of flow through a pipe of circular cross section.As a disturbance motion,we consider an axisymmetric nonlinear mode.An associated amplitude or modulation equation has been derived for this perturbation.This equation belongs to the diffusion type....
Bifurcation and Stability of Spatially Periodic Solutions of Nonlinear Evolution Equations with Integral Operators
Lu Qi-shao
1987, 8(11): 985-995.
Abstract(1841) PDF(453)
Abstract:
A more general kind of nonlinear evolution equations with integral operators is discussed in order to study the spatially periodic static bifurcating solutions and their stability.At first,the necessary condition and the sufficient condition for the existence of bifurcation are studied respectively....
On Exact Solution of Karman’s Equations of Rigid Clamped Circular Plate and Shallow Spherical Shell under a Concentrated Load
Zheng Xiao-jing, Zhou You-he
1987, 8(11): 997-1006.
Abstract(2147) PDF(491)
Abstract:
It is extremely difficult to obtain an exact solution of von Karmán's equations because the equations are nonlinear and coupled.So far many approximate methods have been used to solve the large deflection problems except that only a few exact solutions have been investigated but no strict proof on c...
On Perfectly Stress Field at a Mixed-Mode Crack Tip under Plane and Anti-Plane Strain
Yuan Yi-wu
1987, 8(11): 1007-1014.
Abstract(1711) PDF(593)
Abstract:
In[1],under the condition that all the perfectly plastic stress components at a crack tip are functions of θ only,making use of equilibrium equations,stress-strain rate relations,compatibility equations and yield condition,Lin derived the general analytical expressions of the perfectly plastic stres...
Bending of a Circular Cylinder Containing a Crack
Yin Chang-yan, Zu Cheng-de
1987, 8(11): 1015-1026.
Abstract(2142) PDF(483)
Abstract:
The study of bending of cracked circular cylinders is of more significance.The bending of cylinders containing radical crack or cracks was discussed by refs.[1]-[4] and that of concentrically craked circular cylinders was studied by[5].Continuing[6] and using complex variable methods in elasticity,t...
The Unsymmetrical Bending of Contilever Rectangular Plates
Cheng Xiang-sheng
1987, 8(11): 1027-1033.
Abstract(2030) PDF(445)
Abstract:
This paper discusses the problems of the unsymmetrical bending of cantilever rectangular plates under various loads by the energy method.We illustrate numerous calculating examples such as the plates which are subjected by the concentrated forces or concentrated couples unsymmetrically on free sides...
A Discussion on “Representing General Solution of Equations in Theory of Elasticity by Harmonic Functions”
Zhou Qing, Wang Min-zhong
1987, 8(11): 1035-1038.
Abstract(2018) PDF(421)
Abstract:
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