Energetics and conserved functional of axially moving materials undergoing transverse nonlinear vibration

Li Qun Chen, Jean W. Zu

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

Abstract

The Eulerian and Lagrangian energy functionals for axially moving strings and beams undergoing transverse nonlinear vibration are defined. The Eulerian view is concerned with a specified spatial domain whereas the Lagrangian view is concerned with a specified set of particles. The time rates of change of the Eulerian and Lagrangian energy functionals are found to be distinct. The time rates of change for the Eulerian conserved functionals for axially moving nonlinear strings and beams under specific boundary conditions are also calculated and found to reduce to the corresponding known results of linear vibration of axially moving materials if the nonlinear term is dropped out.

Original languageEnglish
Pages (from-to)452-455
Number of pages4
JournalJournal of Vibration and Acoustics, Transactions of the ASME
Volume126
Issue number3
DOIs
StatePublished - Jul 2004

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