2013 Vol. 34, No. 3

Display Method:
Effect of Poisson’s Ratio on Flexural Wave Propagation in Step-Beam
ZHU Zhi-wei, DENG Zi-chen
2013, 34(3): 217-225. doi: 10.3879/j.issn.1000-0887.2013.03.001
Abstract(2496) PDF(1475)
Abstract:
The purpose of this study was to investigate the effect of Poisson’s ratio on the flexural wave propagation in stepbeam. The transmission and reflection matrices, based on Timoshenko theory, were derived for the junction of two beams. The results show that the negative Poisson’s ratio has a signifi...
Stress Fields of Creep Damage Notch Tip in Steady Propagation
MENG Qing-hua, LIANG Wen-yan, WANG Zhen-qing
2013, 34(3): 226-234. doi: 10.3879/j.issn.1000-0887.2013.03.002
Abstract(2192) PDF(1504)
Abstract:
The stress fields of the steady propagation notch tip in creep damage materials under tensile loading and antiplane shear loading were investigated. The stress potential function and the displacement potential function were adopted. The governing equations of the steady propagation notch tip were ob...
An Improved Precise Integration Method for Ill-Conditioned Algebraic Equations
ZHANG Wen-zhi, HUANG Pei-yan
2013, 34(3): 235-239. doi: 10.3879/j.issn.1000-0887.2013.03.003
Abstract(2132) PDF(1121)
Abstract:
An improved process of iterative algorithm was added to the precise integration method for ill-conditioned algebraic equations and an improved precise integration method for ill-conditioned algebraic equations was therefore constructed. The method further improves the accuracy and efficiency of the ...
A Parallel Preconditioned Modified Conjugate Gradient Method for a Kind of Matrix Equation
CAO Fang-ying, Lü Quan-yi, XIE Gong-nan
2013, 34(3): 240-251. doi: 10.3879/j.issn.1000-0887.2013.03.004
Abstract(2366) PDF(1282)
Abstract:
In view of a parallel algorithm of preconditioned modified conjugate gradient method for solving a kind of matrix equationAXB=C,a preconditioned model was proposed. Based on this thought, firstly the preconditioned matrix was constructed, which was strictly diagonally dominant matrix, secondly the ...
Identification and Parameter Estimation for Classical SIR Model
HE Yan-hui, TANG San-yi
2013, 34(3): 252-258. doi: 10.3879/j.issn.1000-0887.2013.03.005
Abstract(4457) PDF(2546)
Abstract:
Whether a model can be identified is a basic characteristic of the model before studying parameter estimation. Until recently, the classical susceptibleinfectiousrecovered (SIR) model is still one of the most commonly used models. In present work the algebraic identifiability of the SIR model by u...
Adaptive Fast Multipole Regularized Meshless Method for Large-Scale Three Dimensional Potential Problems
LIU Cong-jian, CHEN Wen, WANG Hai-tao, GU Yan
2013, 34(3): 259-271. doi: 10.3879/j.issn.1000-0887.2013.03.006
Abstract(2314) PDF(1493)
Abstract:
The regularized meshless method (RMM) is a new meshless boundary collocation method. This method overcame the perplexing fictitious boundary associated in the method of fundamental solutions (MFS), while inherited all its merits being truly meshless, integration-free, and easy toprogram. Like the M...
A Hybrid Generalized Element Method Based on H-R Variational Principle
YANG Sen-sen, MA Yong-qi, FENG Wei
2013, 34(3): 272-281. doi: 10.3879/j.issn.1000-0887.2013.03.007
Abstract(1917) PDF(1130)
Abstract:
Combining HellingerReissner variational principle and the way of constructing displacement interpolation function of generalized finite element method to construct stress field and displacement field independently, through the suitable stress field could get a more precise stress value of node conv...
Analysis Between Earing and Drawing for Orthotropic Sheet of Cubic in Deep Drawing
YUE Wen-xia, WU Lang, GUAN Ming-wen, TANG Meng-jian
2013, 34(3): 282-296. doi: 10.3879/j.issn.1000-0887.2013.03.008
Abstract(1941) PDF(1214)
Abstract:
In deep drawing (or the swift cupping test) of sheet metals, a circular blank of radius Rb is placed symmetrically under a blankholder over a die with a circular aperture of radius rab. A flatheaded punch of circular crosssection is forced down onto the blank, which is allowed to slip under the b...
Trigonometric Series Approach for Forced Parametric Vibration Response
HUANG Di-shan
2013, 34(3): 297-305. doi: 10.3879/j.issn.1000-0887.2013.03.009
Abstract(2331) PDF(1325)
Abstract:
Modulation feedback method was used to predict the forced response of a linear system that was governed by an ordinary differential equation with periodic coefficients. The system was excited by both periodic coefficients and external force terms that had different periods. In the method, the forced...
Centrosymmetric Solutions of Constrained Matrix Equation and Its Application to Inverse Problem of Vibration Theory
ZHOU Shuo, WANG Lin, HAN Ming-hua
2013, 34(3): 306-317. doi: 10.3879/j.issn.1000-0887.2013.03.010
Abstract(2033) PDF(1346)
Abstract:
The centrosymmetric solutions of constrained matrix equation under a central principal submatrix constraint were studied.By using matrix to quantify, Kronecker product and singular value decomposition (SVD) method, the necessary and sufficient conditions for solvability and the general expression of...
Seven-Mode Truncation and Chaotic Characteristics of Kolmogorov Flow Model
LI Zhen, LIAN Xin-yu
2013, 34(3): 318-326. doi: 10.3879/j.issn.1000-0887.2013.03.011
Abstract(2246) PDF(1091)
Abstract:
To provide a mathematical description of the chaotic behavior in Kolmogorov flow model,with k=3was researched,NavierStokes equation was truncated by seven basic modes and a new sevendimensional chaotic system described by ordinary differential equations was obtained. The basic dynamical behaviors...