2001 Vol. 22, No. 12

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Unified Way for Dealing With Three-Dimensional Problems of Solid Elasticity
XU Qiang, SUN Huan-chun
2001, 22(12): 1221-1229.
Abstract(2429) PDF(524)
Abstract:
Unified way for dealing with the problemsal of three dimensional solid, each type of plates and shells etc. was presented with the virtual boundary element least squares method(VBEM). It proceeded from the differential equations of three-dimensional theory of elasticity and employs the Kelvin soluti...
Complex Inner Product Averaging Method for Calculating Normal Form of ODE
CHEN Yu-shu, SUN Hong-jun
2001, 22(12): 1230-1235.
Abstract(2740) PDF(877)
Abstract:
This paper puts forward a complex inner product averaging method for calculating normal form of ODE. Compared with conventional averaging method, the theoretic analytical process has such simple forms as to realize computer program easily. Results can be applied in both autonomous and non-autonomous...
Study for the Bifurcation Topological Structure and the Global Complicated Character of a Kind of Non-Linear Finance System(Ⅱ)
MA Jun-hai, CHEN Yu-shu
2001, 22(12): 1236-1242.
Abstract(3431) PDF(835)
Abstract:
Based on the work discussed on the former study, this article first starts from the mathe matical model of a kind of complicated financial system, and analyses all possible things that the mod el shows in the operation of our country's macro-financial system:balance, stable periodic, fractal, Hopf-b...
New Principles of Power and Energy Rate of Incremental Rate Type for Generalized Continuum Field Theories
DAI Tian-min
2001, 22(12): 1243-1248.
Abstract(2503) PDF(1135)
Abstract:
The aim of this paper is to establish new principles of power and energy rate of incremental type in generalized continuum mechanics. By combining new principles of virtual velocity and virtual angular velocity as well as of virtual stress and virtual couple stress with cross terms of incremental ra...
Interval Arithmetic and Static Interval Finite Element Method
GUO Shu-xiang, LÜ Zhen-zhou
2001, 22(12): 1249-1254.
Abstract(2630) PDF(683)
Abstract:
When the uncertainties of structures may be bounded in intervals, through some suitable discretization, interval finite element method can be constructed by combining the interval analysis with the traditional finite element method(FEM). The two parameters, median and deviation, were used to represe...
A Fixed Point Theorem for Set-Valued Mappings
Amitabh Banerjee, Thakur Balwant Singh
2001, 22(12): 1255-1261.
Abstract(2304) PDF(683)
Abstract:
Fixed points for set-valued mappings from a metric space X(not necessarily complete) into B(X), the collection of nonempty bounded subsets of X are obtained. The result generalizes some known results.
Weighted Solution of Small-Deflection Buckling Equation of Thin Shell
WANG Zong-li, WANG Xi, HAO Wen-hua
2001, 22(12): 1262-1266.
Abstract(2751) PDF(685)
Abstract:
Based on small-deflection buckling equation, a weighted solution for critical load is presented. Usually, it is very difficult to solve the equation for general problems, especially those with complicated boundary conditions. Axisymmetric problem was studied as an example. Influencing factors were f...
Study on Dynamics, Stability and Control of Multi-Body Flexible Structure System in Functional Space
XU Jian-guo, JIA Jun-guo
2001, 22(12): 1267-1277.
Abstract(2705) PDF(672)
Abstract:
The dynamics, stability and control problem of a kind of infinite dimensional system are studied in the functional space with the method of modern mathematics. First, the dynamical control model of the distributed paramater system with multi-body flexible and milti-topological structure was establis...
Continuation Method Applied in Kinematics of Parallel Robot
DONG Bin, ZHANG Xiang-de
2001, 22(12): 1278-1284.
Abstract(2178) PDF(516)
Abstract:
Continuation method solving forward kinematics problem of parallel robot was discussed. And through a coefficient-parameter continuation method the efficiency and feasibility of continuation method were improved. Using this method all forward solutions of a new parallel robot model which was put for...
Self-Similar Solutions of Fracture Dynamics Problems on Axially Symmetry
LÜ Nian-chun, CHENG Jin, CHENG Yun-hong, QU De-zhi
2001, 22(12): 1285-1290.
Abstract(2640) PDF(523)
Abstract:
By the theory of complex functions, a penny-shaped crack on axially symmetric propagating problems for composite materials was studied. The general representations of the analytical solutions with arbitrary index of self-similarity were presented for fracture elastodynamics problems on axially symme...
Stability Analysis of Maxwell Viscoelastic Pipes Conveying Fluid With Both Ends Simply Supported
ZHAO Feng-qun, WANG Zhong-min, FENG Zhen-yu, LIU Hong-zhao
2001, 22(12): 1291-1298.
Abstract(2634) PDF(798)
Abstract:
On the basis of some studies of elastic pipe conveying fluid, the dynamic behavior and stability of Maxwell viscoelastic pipes conveying fluid with both ends simply supported, which are gyroscopic conservative system, were investigated by using the finite difference method and the corresponding recu...
Linear and Nonlinear Aerodynamic Theory of Interaction Between Flexible Long Structure and Wind
XU Xu, CAO Zhi-yuan
2001, 22(12): 1299-1308.
Abstract(2813) PDF(882)
Abstract:
In light of the characteristics of the interactions between flexible structure and wind in three directions, and based on the rational mechanical section-model of structure, a new aerodynamic force model is accepted, i. e. the coefficients of three component forces are the functions of the instantan...
Iterative Process for Certain Nonlinear Mappings With Lipschitz Condition
GU Feng
2001, 22(12): 1309-1316.
Abstract(2383) PDF(701)
Abstract:
Using the new analysis techniques, the problem of iterative approximation of solutions of the equation for Lipschitz φ-strongly accretive operators and of fixed points for Lipschitz φ-strongly pseudo-contractive mappings are discussed. The main results of this paper improve and extend the correspond...
General Expressions of Constitutive Equations for Isotropic Elastic Damaged Materials
TANG Xue-song, JIANG Chi-ping, ZHENG Jian-long
2001, 22(12): 1317-1323.
Abstract(2923) PDF(807)
Abstract:
The general expressions of constitutive equations for isotropic elastic damaged materials were derived directly from the basic law of irreversible thermodynamics. The limitations of the classical damage constitutive equation based on the well-known strain equivalence hypothesis were overcome. The re...
Existence and Multiplicity of Positive Solutions for a Fourth-Order p-Laplace Equations
BAI Zhan-bing
2001, 22(12): 1324-1328.
Abstract(2468) PDF(853)
Abstract:
The solvability of one-dimensional fourth-order p-Laplace equations of the type (g(u"))"+λa(t)f(u)=0 0p-2v,p>1 is investigated. With cone compression/extension theorem, some existence and multiplicity results of positive solution have been required according to different growth condition of nonli...
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