2002 Vol. 23, No. 2

Display Method:
Restudy of Coupled Field Theories for Micropolar Continua(I)─Micropolar Thermoelasticity
DAI Tian-min
2002, 23(2): 111-118.
Abstract(2695) PDF(782)
Abstract:
Problems of micropolar thermoelasticity have been presented and discussed by some authors in the traditional framework of micropolar continuum field theory. In this paper the thoery of micropolar thermoelasticity is restudied. The reason why it was restricted to a linear one is analyzed.The rather g...
The Displacement Function of Quasi-Conforming Element and Its Node Error
HE Dong-sheng, TANG Li-min
2002, 23(2): 119-127.
Abstract(2850) PDF(594)
Abstract:
Based on the strain formulation of the quasi-conforming finite element, displacement functions are constructed which have definite physical meaning, and a conclusion can be obtained that the coefficients of the constant and the linear strain are uniquely determined, and the quasi-conforming finite e...
A Theoretical Solution of Cylindrical Shells for Axisymmetric Plain Strain Elastodynamic Problems
DING Hao-jiang, WANG Hui-ming, CHEN Wei-qiu
2002, 23(2): 128-134.
Abstract(2584) PDF(645)
Abstract:
A method is developed for the transient responses of axisymmetric plain strain problems of cylindrical shells subjected to dynamic loads. Firstly, a special function was introduced to transform the inhomogeneous boundary conditions into the homogeneous ones. Secondly, using the method of separation ...
Carastrophe Fracture of Thin-Wall Pressure Tubes
WEI De-min, YANG Gui-tong
2002, 23(2): 135-138.
Abstract(2704) PDF(620)
Abstract:
Catastrophe theory was used to investigate the fracture behavior of thin-wall cylindrical tubes subjected to internal explosive pressure. Based on the energy theory and catastrophe theory, a cusp catastrophe model for the fracture was established, and a critical condition associated with the model i...
Global Solution of the Inverse Problem for a Class of Nonlinear Evolution Equations of Dispersive Type
CHEN Fang-qi, CHEN Yu-shu, WU Zhi-qiang
2002, 23(2): 139-143.
Abstract(2765) PDF(749)
Abstract:
The inverse problem for a class of nonlinear evolution equations of dispersive type was reduced to Cauchy problem of nonlinear evolution equation in an abstract space. By means of the semigroup method and equipping equivalent norm technique, the existence and uniqueness theorem of global solution wa...
Boundary Element Method for Buckling Eigenvalue Problem and Its Convergence Analysis
DING Rui, DING Fang-yun, ZHANG Ying
2002, 23(2): 144-156.
Abstract(2700) PDF(730)
Abstract:
The conditions for determining solution of buckling eigenvalue problem are discussed. The corresponding system of integral equations with constraint conditions and boundary variational equations with Lagrange multiplier are established. The theorems on the existence and uniqueness of the solution fo...
On Cauchy Problems for the RLW Equation in Two Space Dimensions
HUANG Zheng-hong
2002, 23(2): 157-164.
Abstract(2721) PDF(886)
Abstract:
A cnoidal wave solution of the two dimensional RLW equation of are obtained by elliptic integral method, and the some estimations the uniqueness and the stability of the periodic solution with both x, y to the Cauchy problem are proved by the priori estimations.
The Study on a Kind of Control System With Nonlinear Parabolic Distributed Parameters
ZHOU Jian-jun, XU Yan-hou
2002, 23(2): 165-172.
Abstract(2798) PDF(680)
Abstract:
The modelling of one kind of nonlinear parabolic distributed parameter control system with moving boundary, which had extensive applications was presented. Two methods were used to investigate the basic characteristics of the system: 1) transforming the system in the variable domain into that in the...
On the Stability Boundary of Hamiltonian Systems
QI Zhao-hui, Alexander P. Seyranian
2002, 23(2): 173-178.
Abstract(2605) PDF(883)
Abstract:
The criterion for the points in the parameter space being on the stability boundary of linear Hamiltonian system depending on arbitrary numbers of parameters was given, through the sensitivity analysis of eigenvalues and eigenvectors. The results show that multiple eigenvalues with Jordan chain take...
Electroelastic Field for an Impermeable Anti-Plane Shear Crack in a Piezoelectric Ceramics Plate
LI Xian-fang, FAN Tian-you
2002, 23(2): 179-187.
Abstract(2666) PDF(666)
Abstract:
Electroelastic behavior of a cracked piezo electric ceramics plate subjected to four cases of combined mechanical-electrical loads was analyzed. The integral transform method was applied to convert the problem involving an impermeable anti-plane crack to dual integral equations. Solving the resultin...
Generalized Reciprocal Theorems and Their Applications
FU Bao-lian
2002, 23(2): 188-194.
Abstract(2186) PDF(782)
Abstract:
Generalized reciprocal theorems of non-coupled and coupled systems, which are valid for two deformed bodies with different constitutive relations are established by generalizing the idea of Betti's reciprocal theorem. When the constitutive relations of the two deformed bodies are all alike and linea...
Stability and Strict Positive Realness of Convex Polytopes of Interval Polynomials
WANG Zhi-zhen, WANG Long, YU Wen-sheng
2002, 23(2): 195-200.
Abstract(2643) PDF(674)
Abstract:
For an uncertain system described by convex combination of interval polynomials, its Hurwitz-stability can be guaranteed by certain subset composed of vertices and edges. Fur thermore, the testing set does not increase when the order of given system increases.
The Axisymmetric Mixed Boundary-Value Problem of the Vertical Vibration of a Rigid Foundation on Saturated Layered Soil Subgrade
CHEN Sheng-li, CHEN Long-zhu
2002, 23(2): 201-206.
Abstract(2229) PDF(634)
Abstract:
Based on the theory of elastic wave propagation in saturated soil subgrade established by the author of this paper, the axisymmetric vertical vibration of a rigid circular foundation resting on partially saturated soil subgrade which is composed of a dry elasti clayer and a saturated substratum is s...
On Numerical Solutios of Periodically Perturbed Conservative Systems
LIU Guo-qing, FU Dong-sheng, SHEN Zu-he
2002, 23(2): 207-216.
Abstract(2808) PDF(733)
Abstract:
A nonlinear perturbed conservative system is discussed. By means of Hadamard. stheorem, the existence and uniqueness of the solution of the continuous problem are proved. When the equation is discreted on the uniform meshes, it is proved that the corresponding discrete problem has a unique solution....
Block H-Matrices and Spectrum of Block Matrices
HUANG Ting-zhu, LI Wen
2002, 23(2): 217-220.
Abstract(2768) PDF(777)
Abstract:
The block H-matrices are studied by the concept of G-functions, several concepts of block matrices are introduced. Equivalent characters of block H-matrices are obtained. Spectrum localizations characterized by G-functions for block matrices are got.