TY - JOUR
T1 - Finite difference method for simulating transverse vibrations of an axially moving viscoelastic string
AU - Zhao, Wei Jia
AU - Chen, Li Qun
AU - Zu, Jean W.
PY - 2006/1
Y1 - 2006/1
N2 - A finite difference method is presented to simulate transverse vibrations of an axially moving string. By discretizing the governing equation and the equation of stress-strain relation at different frictional knots, two linear sparse finite difference equation systems are obtained. The two explicit difference schemes can be calculated alternatively, which make the computation much more efficient. The numerical method makes the nonlinear model easier to deal with and of truncation errors, O(Δt2 + Δx2). It also shows quite good stability for small initial values. Numerical examples are presented to demonstrate the efficiency and the stability of the algorithm, and dynamic analysis of a viscoelastic string is given by using the numerical results.
AB - A finite difference method is presented to simulate transverse vibrations of an axially moving string. By discretizing the governing equation and the equation of stress-strain relation at different frictional knots, two linear sparse finite difference equation systems are obtained. The two explicit difference schemes can be calculated alternatively, which make the computation much more efficient. The numerical method makes the nonlinear model easier to deal with and of truncation errors, O(Δt2 + Δx2). It also shows quite good stability for small initial values. Numerical examples are presented to demonstrate the efficiency and the stability of the algorithm, and dynamic analysis of a viscoelastic string is given by using the numerical results.
KW - Alternating iterative
KW - Axially moving strings
KW - Dynamical analysis
KW - Finite difference
KW - Transverse vibration
KW - Viscoelastic
UR - http://www.scopus.com/inward/record.url?scp=33645451586&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=33645451586&partnerID=8YFLogxK
U2 - 10.1007/s10483-006-0104-1
DO - 10.1007/s10483-006-0104-1
M3 - Article
AN - SCOPUS:33645451586
SN - 0253-4827
VL - 27
SP - 23
EP - 28
JO - Applied Mathematics and Mechanics (English Edition)
JF - Applied Mathematics and Mechanics (English Edition)
IS - 1
ER -