TY - JOUR
T1 - Modeling of axially moving wire with damping
T2 - Eigenfunctions, orthogonality and applications in slurry wiresaws
AU - Chung, Chunhui
AU - Kao, Imin
N1 - Funding Information:
This project has been supported by the National Science Foundation (NSF) Grant CMMI 0800241 .
PY - 2011/6/6
Y1 - 2011/6/6
N2 - The classical modal analysis is applied to derive the analytical solution and to obtain the free vibration response of damped axially moving wire in this paper. The corresponding eigenvalues, eigenfunctions, and orthogonal relationship are presented. The orthogonality property and closed-form solution of free vibration response with damping are the main contributions of this study. In addition, the analytical modal analysis, with damping factor removed, shows agreement with those in existing research literature of moving wire without damping. The specific relevance of this general solution is discussed with respect to the moving wire in a slurry wiresaw. The theoretical definition of the damping factor of the slurry wiresaw system is also provided.
AB - The classical modal analysis is applied to derive the analytical solution and to obtain the free vibration response of damped axially moving wire in this paper. The corresponding eigenvalues, eigenfunctions, and orthogonal relationship are presented. The orthogonality property and closed-form solution of free vibration response with damping are the main contributions of this study. In addition, the analytical modal analysis, with damping factor removed, shows agreement with those in existing research literature of moving wire without damping. The specific relevance of this general solution is discussed with respect to the moving wire in a slurry wiresaw. The theoretical definition of the damping factor of the slurry wiresaw system is also provided.
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U2 - 10.1016/j.jsv.2011.01.008
DO - 10.1016/j.jsv.2011.01.008
M3 - Article
AN - SCOPUS:79953729619
VL - 330
SP - 2947
EP - 2963
JO - Journal of Sound and Vibration
JF - Journal of Sound and Vibration
SN - 0022-460X
IS - 12
ER -