应用数学和力学

2009 Vol. 30, No. 10

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Thermoelastic Analysis of a Functionally Graded Annulus With an Arbitrary Gradient

PENG Xu-long, LI Xian-fang

2009, 30(10): 1135-1142. doi: 10.3879/j.issn.1000-0887.2009.10.001

Abstract(1596) PDF(751)

Abstract:
A thermoelastic problem of a circular annulus made of functionally graded materials with an arbitrary gradient was investigated. Different from previous works, the analysis neither requires a special form of the gradient of material properties nor demands to partition the entire structure into a mul...

Interaction Between a Heat Dipole and a Circular Interfacial Crack

XIAO Wan-shen, XIE Chao, LIU You-wen

2009, 30(10): 1143-1152. doi: 10.3879/j.issn.1000-0887.2009.10.002

Abstract(1989) PDF(729)

Abstract:
The heat dipole consists of a heat source and a heatsink. The problem that an interfacial crack of a composite contains a circular inclusion under a heat dipole is investigated by using the analytic extension technique, generalized Liouville's theorem and Muskhelishvili boundary value theory. Temper...

A Novel Virtual Node Method for Polygonal Elements

TANG Xu-hai, WU Sheng-chuan, ZHENG Chao, ZHANG Jian-hai

2009, 30(10): 1153-1164. doi: 10.3879/j.issn.1000-0887.2009.10.003

Abstract(2047) PDF(934)

Abstract:
A novel polygonal finite element method (PFEM), which is based on partition of unity, was proposed and named as virtual node method (VNM). To test the perform ance of present method, intensive numerical examples were carried out for solid mechanic problems. With polynomial form, virtual node method ...

Numerical Simulation of Solid Tumor Angiogenesis With Endostatin Treatment: a Combined Analysis of Anti-Angiogenic Factor Inhibiting Effect and Extra-Cellular Matrix Micro Mechanical Environment

CAI Yan, WU Jie, Kalkabay Gulnar, ZHANG Hong-yi, CAO Jin-feng, XU Shi-xiong, Quan Long, M. W. Collins

2009, 30(10): 1165-1172. doi: 10.3879/j.issn.1000-0887.2009.10.004

Abstract(1997) PDF(798)

Abstract:
To investigate the in fluence of anti-angiogenesis drug Endostatin to solid tumor angiogenesis, a mathe matical model of tumor angiogenesis was developed with combined influences of local extra-cellular matrix mechanical environment, and the inhibiting effects of Angiostatin and Endostatin. The simu...

Series Solutions for the Stagnation Flow of a Second Grade Fluid Over a Shrinking Sheet

S. Nadeem, Anwar Hussain, M. Y. Malik, T. Hayat

2009, 30(10): 1173-1180. doi: 10.3879/j.issn.1000-0887.2009.10.005

Abstract(1746) PDF(642)

Abstract:
The analytic solutions of boundary layer flows bounded by a shrinking sheet are derived. Using similarity transformations, the partial differential equations were reduced into the ordinary differen tial equations which were then solved by homotopy analysis method (HAM). Two-dimen sional and axisymme...

Space-Time Objective Decomposition of the Vortex Equations and the Mechanism Analysis of the Subtropical High Abnormal Activities

HONG Mei, ZHANG Ren, XUE Feng, LIU Ke-feng

2009, 30(10): 1181-1188. doi: 10.3879/j.issn.1000-0887.2009.10.006

Abstract(1543) PDF(728)

Abstract:
Inorder to analyze the dynamic mechanism of unusual activities of the subtropical high, based on the heat force and the whorlmovement dissipation effect, the partial differential vortex equations were space-time variable separated by Galerkin methods. Aiming at the subjective and man-made conven tio...

Topographic Effects on Polar Low and Tropical Cyclone Development in a Simple Theoretical Model

LI Zi-liang, FU Gang, GUO Jing-tian, DUAN Yi-hong, ZHANG Mei-gen

2009, 30(10): 1189-1201. doi: 10.3879/j.issn.1000-0887.2009.10.007

Abstract(1652) PDF(743)

Abstract:
The polar low and tropical cyclone type vortices over topography are assumed to beaxial-symmetrical and thermal wind balanced systems, which are solved as aninitial value problem of linearized vortex equation set in cylindrical coord inates. The roles of sensible and latent heating, friction and top...

Recursive Lagrangian Dynamic Modeling and Simulation of Multi-Link Spatial Flexible Manipulator Arms

ZHANG Ding-guo

2009, 30(10): 1202-1212. doi: 10.3879/j.issn.1000-0887.2009.10.008

Abstract(2096) PDF(2279)

Abstract:
The dynamics for multi-link spatial flexible manipulatorarm sconsisting of nlinks andnrotary joints is investigated Kinematics of both the rotaryjoint motion and the link deformation were described by 4×4 homogenous transformation matrices, and the Lagrangian equations were used to derive the govern...

A New Modal Identification Method Under the Non-Stationary Gaussian Ambient Excitation

DU Xiu-li, WANG Feng-quan

2009, 30(10): 1213-1222. doi: 10.3879/j.issn.1000-0887.2009.10.009

Abstract(1774) PDF(880)

Abstract:
Based on the multivariate continuous tmie autoregressive model, a new time-domain modal identification method of LTI system driven by the uniformly modulated Gaussian random excitation was presented. The method canidentify the physical parameters of the system from the response data. First, the stru...

Heterogeneous Boundedly Rational Expectation Model for Housing Market

LEUNG Andrew Y T, XU Jia-na, TSUI Wing-shum

2009, 30(10): 1223-1233. doi: 10.3879/j.issn.1000-0887.2009.10.010

Abstract(1685) PDF(770)

Abstract:
The housing price dynamics was tested when considering heterogeneous boundedly rational expectations, such as naive expectation, adaptive expectation and biased belief. Housing market was investigated as an evolutionary system with heterogeneous and competing expectations. The results show that the ...

Asymptotic Stability for Impulsive Functional Differential Equations

LUO Zhi-guo, LUO Yan

2009, 30(10): 1234-1242. doi: 10.3879/j.issn.1000-0887.2009.10.011

Abstract(1620) PDF(718)

Abstract:
The stability for aclass of mipulsive functional differential equation was inve stigated. By improving the upper bound of Lia punovfunctional and based on the application of the Liapunov second method to gether with Liapunov functional and Jensencs the inequality, auniformly stability theorem and au...

Numerical Solution of Poisson Equation by Using Wavelet Bases of Hermite Cubic Splines on the Interval

XIANG Jia-wei, CHEN Xue-feng, LI Xi-kui

2009, 30(10): 1243-1250. doi: 10.3879/j.issn.1000-0887.2009.10.012

Abstract(2067) PDF(703)

Abstract:
A new wavelet-based finite element method was proposed for solving Poisson equation. The wave let bases of Hermite cubic splines on the in terval were employed as the multi-scale in terpo lating basis for finite element analysis. The lifting scheme of wavele-tbased finite element method was discusse...

Eventually Vanished Solutions of a Forced Li閚ard System

ZHANG Yong-xin

2009, 30(10): 1251-1260. doi: 10.3879/j.issn.1000-0887.2009.10.013

Abstract(1271) PDF(664)

Abstract:
Eventually vanished solutions, a special class of bounded solutions which tend to 0→±∞, of a Linard system with a tmie-dependent force were found. Not assuming it to be a small perturbation of a Hamiltonian system, the well-known Melnikov method could not be employed to determine the existence of ev...