2010 Vol. 31, No. 10

Display Method:
Accuracy Analysis of the Immersed Boundary Method Using the Method of Manufactured Solutions
GONG Zhao-xin, LU Chuan-jing, HUANG Hua-xiong
2010, 31(10): 1141-1151. doi: 10.3879/j.issn.1000-0887.2010.10.001
Abstract(2124) PDF(903)
Abstract:
The immersed boundary method is an effective technique for modeling and simulating fluid-structure interactions especially in the area of biomechanics.The principle work was to analyze the accuracy of the immersed boundary method.The whole procedure contained two parts:code verification and accuracy...
Attenuation Analysis of Hydraulic Transients With Laminar-Turbulent Flow Alternations
WAN Wu-yi, ZHU Song, HU Yun-jin
2010, 31(10): 1152-1159. doi: 10.3879/j.issn.1000-0887.2010.10.002
Abstract(1757) PDF(1031)
Abstract:
An improved compound mathematical model was established to simulate attenuation of hydraulic transients with laminar-turbulent alternations, usually occured when pipeline flow velocity fluctuates near the critical velocity.Laminar friction resistance and turbulent friction resistance were considered...
Combined Heat and Mass Transfer by Mixed Convection MHD Flow Along a Porous Plate With Chemical Reaction in Presence of Heat Source
Joaqu韓 Zueco, Sahin Ahmed
2010, 31(10): 1160-1171. doi: 10.3879/j.issn.1000-0887.2010.10.003
Abstract(2094) PDF(825)
Abstract:
An exact and numerical solution to the problem of a steady mixed convective MHD flow of an incompressible viscous electrically conducting fluid past an infinite vertical porous plate with combined heat and mass transfer was presented.A uniform magnetic field was assumed to be applied transversely to...
Exact Solution for Peristaltic Transport of Power-Law Fluid in an Asymmetric Channel With Compliant Walls
T. Hayat, Maryiam Javed
2010, 31(10): 1172-1180. doi: 10.3879/j.issn.1000-0887.2010.10.004
Abstract(1850) PDF(759)
Abstract:
Effects of compliant wall properties on the peristaltic flow of a non-Newtonian fluid in an asymmetric channel were investigated.The rheological characteristics were characterized by the constitutive equations of a power-law fluid.Long wavelength and low Reynolds number approximations were adopted i...
Symplectic Eigenfunction Expansion Theorem for the Rectangular Plane Elasticity Problems With Two Opposite Simply Supported
HOU Guo-lin, Alatancang
2010, 31(10): 1181-1190. doi: 10.3879/j.issn.1000-0887.2010.10.005
Abstract(2235) PDF(1008)
Abstract:
The eigenvalue problem of the Hamiltonian operator associated with the plane elasticity problems was investigated.First, the eigenfunctions of the operator with the mixed boundary conditions for the displacement and stress in the rectangular region was solved directly.Then, the completeness of the e...
Symplectic Multi-Level Method for Solving Nonlinear Optimal Control Problem
PENG Hai-jun, GAO Qiang, WU Zhi-gang, ZHONG Wan-xie
2010, 31(10): 1191-1200. doi: 10.3879/j.issn.1000-0887.2010.10.006
Abstract(2468) PDF(822)
Abstract:
The optimal control problem for nonlinear system was transformed into Hamiltonian system and a symplectic-preserving method was proposed.The state and costate variables were approximated by Lagrange polynomial and state variables at two ends of the time interval were taken as the independent variabl...
Three Dimensional Large Deformation Analysis of Phase Transformation in Shape Memory Alloys
XIA Kai-ming, PAN Tong-yan, LIU Shan-hong
2010, 31(10): 1201-1210. doi: 10.3879/j.issn.1000-0887.2010.10.007
Abstract(2340) PDF(1142)
Abstract:
Shape memory alloys (SMAs) have been explored as smart materials and used as dampers, actuator elements and smart sensors.An important character of SMAs is its ability to recover all of its large deformations in mechanical loading-unloading cycles, without showing permanent deformation.A stress-indu...
Viscosity Approximation With Weak Contractions for Fixed Point Problem Equilibrium Problem and Variational Inequality Problem
ZHANG Shi-sheng, LEE Heung-wing Joseph, CHAN Chi-kin, LIU Jing-ai
2010, 31(10): 1211-1219. doi: 10.3879/j.issn.1000-0887.2010.10.008
Abstract(2095) PDF(909)
Abstract:
The purpose was by using the viscosity approximation method with a weak contraction to propose a modified iterative algorithm for finding a common element of the set of common fixed points of an infinite family of nonexpansive mappings and the set of a finite family of equilibrium problems which was...
Three Solutions for Inequalities Dirichlet Problem Driven by p(x)-Laplacian
GE Bin, XUE Xiao-ping, GUO Meng-shu
2010, 31(10): 1220-1228. doi: 10.3879/j.issn.1000-0887.2010.10.009
Abstract(2272) PDF(859)
Abstract:
A class of nonlinear elliptic proplem driven by p(x)-Laplacian with a nonsmooth locally Lipschitz potential was considered.Applying the version of non-smooth three-critical-point theorem, existence of three solutions of the problem in W01, p(x)(Ω)was proved.
Study on Primary Resonance of Multi-Degree-of-Freedom Dynamic Systems With Strongly Non-Linearity Using the Homotopy Analysis Method
YUAN Pei-xin, LI Yong-qiang
2010, 31(10): 1229-1238. doi: 10.3879/j.issn.1000-0887.2010.10.010
Abstract(1806) PDF(277)
Abstract:
The homotopy analysis method (HAM) was presented for the primary resonance of multidegree-of-freedom system with strongly non-linearity excited by harmonic forces.The validity of the HAM is independent of whether or not there are small parameters in the considered equation.The HAM has provided a sim...
Nonlinear and Chaotic Analysis of a Financial Complex System
LIN Yong-xin, CHEN Yu-shu, CAO Qing-jie
2010, 31(10): 1239-1248. doi: 10.3879/j.issn.1000-0887.2010.10.011
Abstract(2023) PDF(956)
Abstract:
A determination on the characteristics of futures market of commodity of China was presented by the method of the phase-randomized surrogate data.There was a significant difference in critical values obtained when this method was used in random timeseries and nonlinear chaotic timeseries.The technol...
Exact Solution and Dynamic Buckling Analysis of a Beam-Column System Having the Elliptic Type Loading
H. Secil Artem, Levent Aydin
2010, 31(10): 1249-1255. doi: 10.3879/j.issn.1000-0887.2010.10.012
Abstract(1988) PDF(723)
Abstract:
A closed form solution of the dynamic stability problem of a beam-column system with hinged ends loaded by an axial periodically time varying compressive force of an elliptic type was presented.Solution of the governing equation was obtained in the form of Fourier sine series and the resulting ordin...
Advanced Method to Estimate the Reliability-Based Sensitivity of Mechanical Components With Strongly Nonlinear Performance Function
ZHANG Yi-min, ZHU Li-sha, WANG Xin-gang
2010, 31(10): 1256-1266. doi: 10.3879/j.issn.1000-0887.2010.10.013
Abstract(1810) PDF(961)
Abstract:
Based on the random perturbation technique of reliability sensitivity design, some realistic reliability-based sensitivity issues were discussed, with some of them having a structure of high nonlinear performance function.Combining the relating theories of moment method of reliability analysis, matr...