Modeling of axially moving wire with damping: Eigenfunctions, orthogonality and applications in slurry wiresaws

Chunhui Chung, Imin Kao

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)2947-2963
Number of pages17
JournalJournal of Sound and Vibration
Volume330
Issue number12
DOIs
Publication statusPublished - 2011 Jun 6

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Acoustics and Ultrasonics
  • Mechanical Engineering

Fingerprint Dive into the research topics of 'Modeling of axially moving wire with damping: Eigenfunctions, orthogonality and applications in slurry wiresaws'. Together they form a unique fingerprint.

Cite this