1987 Vol. 8, No. 7

Display Method:
Variational Principles in Elasticity with Nonlinear Stress-Strain Relation
Chien Wei-zang
1987, 8(7): 567-577.
Abstract(1931) PDF(1551)
Abstract:
Since 1979, a series of papers have been published concerning the variational principles and generalized variational principles in elasticity such as [1](1979), [6](1980), [2,3](1983) and[4,5](1984). All these papers deal with the elastic body with linear stress-strain relations. In 1985, a book was...
A Note on Divergence, Rotation and Gradient and Their Associated Theorems
Guo You-zhong, Tai Chen-to
1987, 8(7): 579-590.
Abstract(2712) PDF(861)
Abstract:
In this note, the essence and some supplements for the unified definition of divergence, rotation and gradient advanced by Tai have been presented based on the method of exterior differential form with an expression of vectors of tensors. The main purpose of this note is to introduce the useful expr...
Generalized Variational Principles with Several Arbitrary Parameters and the Variable Substitution and Multiplier Method
Long Yu-qiu
1987, 8(7): 591-602.
Abstract(2130) PDF(652)
Abstract:
The functional transformations of variational principles in elasticity are classified as three patterns: Ⅰ relaxation pattern, Ⅱ augmented pattern and III equivalent pattern.On the basis of pattern Ⅲ, the generalized variational principles with several arbitrary parameters are formulated and their f...
Asymptotic Analyses of Dynamic Response of Hyperbolic Cooling Tower Shells with Ring-Stiffeners——Perturbation Finite Element Solution
Li Long-yuan, Loo Wen-da
1987, 8(7): 603-610.
Abstract(1820) PDF(462)
Abstract:
In this paper, a new analysing method called perturbational finite element is suggested, by means of which we calculate the dynamic behaviour and response to turbulent wind of hyperbolic cooling tower shell with ring-stiffeners. The results are compared with those of finite element numerical method ...
The Singularity Analysis of the Stress and Strain Fields for Mode I Fracture in Elastic-Plastic State
Chen Xiao-ming, Yang Nan-sheng, Guan Zhong-xin
1987, 8(7): 611-616.
Abstract(1745) PDF(459)
Abstract:
The stress and strain singularities of power hardening material for Mode I fracrure are analysed according to the fundamental equations of elastic-plastic mechanics. It is found that the singularities of all stress and strain components do not change in the thick direction, and neither the six stres...
Chaotic Behavior in the Helleman Mapping
Cheng Bao-long
1987, 8(7): 617-621.
Abstract(2156) PDF(439)
Abstract:
In this paper, we establish the analytical conditions for the Helleman mapping in which the Smale horseshoe appears. Then we use it to educe the chaotic criterion of Henon maps.
Lubrication Theory for Micropolar Fluids and Its Application to A Journal Bearing with Finite Length
Qiu Zu-gan, Lu Zhang-ji
1987, 8(7): 623-632.
Abstract(2021) PDF(531)
Abstract:
In this paper, the field equation of micropolar fluid with general lubrication theory assumptions is simplified into two systems of coupled ordinary differential equation. The analytical solutions of velocity and microrotat ion velocity are obtained. Micropolar fluid lubrication Reynolds equation is...
A Method to Calculate Period Doubling Bifurcation
Liu Zheng-rong, Zhou Shi-gang, Liu Er-ning
1987, 8(7): 633-637.
Abstract(2151) PDF(443)
Abstract:
Based on physical meaning of Melnikov function, we establish a method to calculate period doubling bifurcation and discuss this kind of bifurcation of soft spring Duffing system and find that the result is analogous to subharmonic bifurcation, that is, period doubling bifurcation will appear if damp...
The Bending, Stability and Vibrations of Cantilever Rectangular Plates
Cheng Xiang-sheng
1987, 8(7): 639-648.
Abstract(1901) PDF(620)
Abstract:
This paper discusses the problems of the bending, stability and vibrations of cantilever rectangular plates by means of the variational method. In the text a good many calculating examples are illustrated.
Solution of the Connection Problems between a Finite Holed Plate and a Stiffener by Using the Partitioning Concept of the Generalized Variational Method
Chen Yi-heng, Zhou De-jiao, Wang Ping
1987, 8(7): 649-660.
Abstract(2007) PDF(784)
Abstract:
In this paper a new finite element method is presented, in which complex functions are chosen to be the finite element model and the partitioning concept of the generalized variational method is utilized. The stress concentration factors for a finite holed plate welded by a stiffener are calculated ...