2004 Vol. 25, No. 11

Display Method:
On the Receptivity of Pipe Poiseuille Flow With a Bump on the Wall Under the Periodical Pressure
WANG Zhi-liang, ZHOU Zhe-wei
2004, 25(11): 1101-1112.
Abstract(2293) PDF(470)
Abstract:
Asymptotic method was a dopted to obtain a receptivity model for a pipe Poiseuille flow under periodical pressure, the wall of the pipe with a bump. Bi-orthogonal eigen-function systems and Chebyshev collocation method were used to resolve the problem. Various spatial modes and the receptivity coeff...
Nonlinear Dynamic Stability of Composite Laminated Plates
WEI De-min, YANG Gui-tong
2004, 25(11): 1113-1116.
Abstract(2735) PDF(998)
Abstract:
Catastrophe theory was applied to the investigation of nonlinear dynamic stability of composite laminated plates. The influence of large deflection, initial imperfection, support conditions and ply-angle of the fibers were considered. The catastrophic models and the critical conditions of dynamic bu...
Dynamical Formation of Cavity in a Composed Hyper-Elastic Sphere
REN Jiu-sheng, CHENG Chang-jun
2004, 25(11): 1117-1123.
Abstract(2866) PDF(676)
Abstract:
The dynamical formation of cavity in a hyper-elastic sphere composed of two materials with the incompressible strain energy function, subjected a suddenly applied uniform radial tensile boundary dead-load, was studied following the theory of finite deformation dynamics. Besides a trivial solution co...
Computation of Super-Convergent Nodal Stresses of Timoshenko Beam Elements by EEP Method
WANG Mei, YUAN Si
2004, 25(11): 1124-1134.
Abstract(2853) PDF(758)
Abstract:
The newly proposed element energy projection(EEP) method has been applied to the computation of super-convergent nodal stresses of Timoshenko beam elements. General formulas based on element projection theorem were derived and illustrative numerical examples using two typical elements were given. Bo...
Semi-Weight Function Method on Computation of Stress Intensity Factors in Dissimilar Materials
MA Kai-ping, LIU Chun-tu
2004, 25(11): 1135-1142.
Abstract(2821) PDF(814)
Abstract:
Semi-weight function method is developed to solve the plane problem of two bonded dissimilar materials containing a crack along the bond. From equilibrium equation, stress and strain relationship, conditions of continuity across interface and free crack surface, the stress and displacement fields we...
Stress Analysis of Restrained Bending for Box Beam With Rectangular Cross-Section Filled by Honeycomb Core
ZHANG Ying-shi, ZHANG Xing
2004, 25(11): 1143-1149.
Abstract(2370) PDF(699)
Abstract:
On the basis about studying free bending for box beam with rectangular cross-section filled by honeycomb core, supplementary displacements and stresses of restrained bending for such beam were analyzed. The hypothesis for separated variables was adopted to solve displacement. According to this, thre...
Research on Abrasion of Debris Flow to High-Speed Drainage Structure
CHEN Hong-kai, TANG Hong-mei, WU Si-fei
2004, 25(11): 1150-1156.
Abstract(2828) PDF(714)
Abstract:
As one weak topic in research of debris flow, abrasion of debris flow shortens obviously application life of control structure composed of concrete. High-speed drainage structure, one of the most effective techniques to control giant debris flow disaster, has shortened one-third application life due...
Semi-Analytical Finite Element Method for Fictitious Crack Model in Fracture Mechanics of Concrete
WANG Cheng-qiang, ZHENG Chang-liang
2004, 25(11): 1157-1162.
Abstract(2238) PDF(703)
Abstract:
Based on the Hamiltonian governing equations of plane elasticity for sectorial domain, the variable separation and eigenfunction expansion techniques were employed to develop a novel analytical finite element for the fictitious crack model in fracture mechanics of concrete. The new analytical elemen...
Pendulum With Linear Damping and Variable Length
CAI Jian-ping, YANG Cui-hong, LI Yi-ping
2004, 25(11): 1163-1168.
Abstract(2803) PDF(538)
Abstract:
The methods of multiple scales and approximate potential are used to study pendulums with linear damping and variable length. According to the order of the coefficient of friction compared with that of the slowly varying parameter of length, three different cases were discussed in details. Asymptoti...
Stability and Bifurcation of a Human Respiratory System Model With Time Delay
SHEN Qi-hong, WEI Jun-jie
2004, 25(11): 1169-1181.
Abstract(3019) PDF(772)
Abstract:
The stability and bifurcation of the trivial solution in the two-dimensional differental equation of a model describing human respiratory system with time delay were investigated. Formulas about the stability of bifurcating periodic solution and the direction of Hopf bifurcation were exhibited by ap...
Kantorovich Theorem for Variational Inequalities
WANG Zheng-yu, SHEN Zu-he
2004, 25(11): 1182-1188.
Abstract(3027) PDF(733)
Abstract:
Kantorovich theorem was extended to variational inequalities by which the convergence of Newton iteration, the existence and uniqueness of the solution of the problem can be tested via computational conditions at the initial point.
Stress Analysis for an Infinite Strip Weakned by Periodic Cracks
CHEN Yi-zhou
2004, 25(11): 1189-1194.
Abstract(2216) PDF(608)
Abstract:
Stress analysis for an infinite strip weakened by periodic cracks is studied. The cracks were assumed in a horizontal position, and the strip is applied by tension "p" in y-direction. The boundary value problem can be reduced into a complex mixed one. It is found that the EEVM (eigen-function expans...
Analysis on Transverse Impact Response of an Unrestrained Timoshenko Beam
CHEN Rong, ZHENG Hai-tao, XUE Song-tao, TANG He-sheng, WANG Yuan-gong
2004, 25(11): 1195-1202.
Abstract(2939) PDF(598)
Abstract:
A moving rigid-body and an unrestrained Timoshenko beam, which is subjected to the transverse impact of the rigid-body, are treated as a contact-impact system. The generalized Fourier-series method was used to derive the characteristic equation and the characteristic function of the system. The anal...
A New Satic Mechanics Model to Solve Contact Problems in Mechanical Systems
LU Zhi-hua, YE Qing-tai
2004, 25(11): 1203-1210.
Abstract(2340) PDF(811)
Abstract:
The coupling of the local contact problems between the components and the deformation of the components in the mechanical system were discovered. A series of coordinate systems have been founded to describe the mechanical system with the contact problems. The method of isolating the boundary of cont...