应用数学和力学

2005 Vol. 26, No. 8

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Nonlinear Vibration for the Moderate Thickness Rectangular Cracked Plates Including the Coupled Effect of Elastic Foundation

XIAO Yong-gang, FU Yi-ming, ZHA Xu-dong

2005, 26(8): 883-891.

Abstract(2894) PDF(465)

Abstract:
Based on Reissner plate theory and Hamilton variational principle, the nonlinear equations of motion were derived for the moderate thickness rectangular plates with transverse surface penetrating crack on the two-parameter foundation. Under the condition of free boundary, aset of trial functions sat...

Qualitative Analysis of Dynamical Behavior for an Imperfect Incompressible Neo-Hookean Spherical Shell

YUAN Xue-gang, ZHU Zheng-you, CHENG Chang-jun

2005, 26(8): 892-898.

Abstract(2823) PDF(576)

Abstract:
The radial symmetric motion problem was examined for a spherical shell composed of a class of imperfect incompressible hyper-elastic materials, in which the materials may be viewed as the homogeneous incompressible isotropic neo-Hookean material with radial perturbations. A second-order nonlinear or...

New Algorithm of Coupling Element-Free Galerkin With Finite Element Method

ZHAO Guang-ming, SONG Shun-cheng

2005, 26(8): 899-904.

Abstract(2827) PDF(776)

Abstract:
Through the construction of a new ramp function, the element-free Galerkin method and finite element coupling method were applied to the whole field, and was made fit for the structure of element nodes within the interface regions, both satisfying the essential boundary conditions and deploying mesh...

Dynamic Stability of Axially Moving Viscoelastic Beams With Pulsating Speed

YANG Xiao-dong, CHEN Li-qun

2005, 26(8): 905-910.

Abstract(2926) PDF(566)

Abstract:
Parametric vibration of an axially moving, elastic, tensioned beam with pulsating speed was investigated in the vicinity of subharmonic and combination resonance. The method of averaging was used to yield a set of autonomous equations when the parametric excitation frequency is twice or the combinat...

Interaction of Electric Charges in a Piezoelectric With Rigid External Cracks

HU Yuan-tai, LI Guo-qing, JIANG Shu-nong, HU Hong-ping, YANG Jia-shi

2005, 26(8): 911-920.

Abstract(2926) PDF(516)

Abstract:
Using Stroh's formalism simple explicit expressions of Green's functions for a 2D piezoelectric body with two semi-infinite fixed conductor cracks subjected to a generalized line force were given. The Coulomb force acting on the free line charge due to the piezoelectricity and the distributed bo und...

Three High-Order Splitting Schemes for the 3D Transport Equation

WANG Shou-dong, SHEN Yong-ming

2005, 26(8): 921-928.

Abstract(3069) PDF(1062)

Abstract:
Two high-order splitting schemes based on the idea of the operators splitting method are given. The three-dimensional advection-diffusion equation was split into several one-dimensional equations that were solved by these two schemes, only three computational grid points were needed in each directio...

Application of Penalty Function Method in Isoparametric Hybrid Finite Element Analysis

CHEN Dao-zheng, JIAO Zhao-ping

2005, 26(8): 929-936.

Abstract(2847) PDF(521)

Abstract:
By aid of the penalty function method, the equilibrium restriction conditions were intr oduced to the isopar ametric hy brid finite element analysis, and the concrete application course of the penalty function method in three-dimension isoparametric hybrid finite element was discussed. The separated...

Numerical Study of Periodical Flows of Piezoelectric Valveless Micropump for Biochips

ZHANG Yong-li, WU Jian-kang

2005, 26(8): 937-944.

Abstract(2739) PDF(839)

Abstract:
Shallow water model was employed to approximate the three-dimensional flows of a thin micropump to a two-dimensional thickness-averaged flows. The finite element method and pressure correction algorithm were used to solve the two-dimensional flows of the pump and calculate the pump flow rate. The nu...

Linear Quadratic Nonzero Sum Differential Games With Random Jumps

WU Zhen, YU Zhi-yong

2005, 26(8): 945-950.

Abstract(2775) PDF(626)

Abstract:
The existence and uniqueness results of the solutions for one kind of forward-backward stochastic differential equations with Brownian motion and Poisson process as the noise source were given under the monotone conditions. Then these results were applied to get the explicit form of the open-loop Na...

Nonlinear Dynamics Response of Casing Pipe Under Combined Wave-Current

TANG You-gang, GU Jia-yang, ZUO Jian-li, MIN Jian-qin

2005, 26(8): 951-956.

Abstract(3004) PDF(626)

Abstract:
The vortex-induced nonlinear vibration of casing pipes in the deep water was studied considering the loads of current and combined wave-current. The vortex-induced vibration equation of a casing pipe was set up considering the beam mode and Morison's nonlinear fluid loads as well as the vortex-excit...

Analysis of a Screw Dislocation Inside a Circular Inclusion With Interfacial Cracks in Piezoelectric Composites

ZHENG Jian-long, FANG Qi-hong, LIU You-wen

2005, 26(8): 957-964.

Abstract(2655) PDF(538)

Abstract:
The electroelastic interaction of a screw dislocation inside a circular inclusion with interfacial cracks in piezoelectric composite materials under anti-plane shear and in-plane electric loads at infinity is investigated. The general solution to this problem was obtained by means of Riemann- Schwar...

Partition of Unity Finite Element Method for Short Wave Propagation in Solids

LI Xi-kui, ZHOU Hao-yang

2005, 26(8): 965-971.

Abstract(3154) PDF(657)

Abstract:
A partition of unity finite element method for numerical simulation of short wave propagation in solids is presented. The finite element spaces were constructed by multiplying the standard isoparametric finite element shape functions, which form a partition of unity, with the local subspaces defined...

h-Adaptivity Analysis Based on Multiple Scale Reproducing Kernel Particle Method

ZHANG Zhi-qian, ZHOU Jin-xiong, WANG Xue-ming, ZHANG Yan-fen, ZHANG Ling

2005, 26(8): 972-978.

Abstract(2500) PDF(637)

Abstract:
An h-adaptivity analysis scheme based on multiple scale reproducing kernel particle method was proposed, and two nodes refinement strategies were constructed using searching-neighbor-nodes (SNN) and local-Delaunay-triangulation (LDT) techniques, which were suitable and effective for h-adaptivity ana...

Dynamic Modeling for Airship Equipped With Ballonets and Ballast

CAI Zi-li, QU Wei-dong, XI Yu-geng

2005, 26(8): 979-987.

Abstract(2805) PDF(765)

Abstract:
Total dynamics of an airship is modeled. The body of an airship was taken as a submerged rigid body with neutral buoyancy, i. e., buoyancy with value equal to that of gravity, and the coupled dynamics between the body with ballonets and ballast was considered. The total dynamics of the airship was f...

New Simple Smooth Merit Function for Box Constrained Variational Inequalities and Damped Newton Type Method

Ulji, CHEN Guo-qing

2005, 26(8): 988-996.

Abstract(2728) PDF(643)

Abstract:
By introducing a smooth merit function for the median function, a new smooth merit function for box constrained variational inequalities (BVIs) was constructed. The function is simple and has some good differential properties. A damped Newton type method was presented based on it. Global and local s...

Probabilistic Models for the Long Fatigue Crack Growth Rates of LZ50 Axle Steel

ZHAO Yong-xiang, HE Chao-ming, YANG Bing, HUANG Yu-zhong, GAO Qing, WU Ping-bo

2005, 26(8): 997-1002.

Abstract(2586) PDF(707)

Abstract:
Experimental study is performed on the probabilistic models for the long fatigue crack growth rates (da/dN) of LZ50 axle steel. An equation for crack growth rate was derived to consider the trend of stress intensity factor range going down to the threshold and the average stress effect. The probabil...

Cusp Catastrophe Model of Instability of Pillar in Asymmetric Mining

LI Jiang-teng, CAO Ping

2005, 26(8): 1003-1008.

Abstract(2948) PDF(581)

Abstract:
A simplified mechanical model of pillar-hang wall was established in asymmetric mining and instability of the system was discussed by means of potential energy principle and cusp catastro phe theory. The necessary-sufficient condition and the jump value of displacement of pillar and the re leased en...