On the Vibrations of an Axially Moving String With a Time-Dependent Velocity

Rajab A. Malookani, Wim van Horssen

Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

1 Citation (Scopus)

Abstract

The transverse vibrations of an axially moving string with a time-varying speed is studied in this paper. The governing equations of motion describing an axially moving string is analyzed using two different techniques. At first, the initial-boundary value problem is discretized using the Fourier sine series, and then the two timescales perturbation method is employed in search of infinite mode approximate solutions. Secondly, a new approach based on the two timescales perturbation method and the method of characteristics is used. It is found that there are infinitely many values of the velocity fluctuation frequency yielding infinitely many resonance conditions in the system. The response of the system with harmonically varying velocity function is computed for particular harmonic initial conditions.
Original languageEnglish
Title of host publicationProceedings of the ASME 2015 International Mechanical Engineering Congress & Exposition IMECE2015
PublisherASME
Pages1-10
Number of pages10
Volume4B
ISBN (Print)978-0-7918-5740-3
DOIs
Publication statusPublished - 2015
EventASME 2015 International Mechanical Engineering Congress and Exposition - Houston, United States
Duration: 13 Nov 201519 Nov 2015

Conference

ConferenceASME 2015 International Mechanical Engineering Congress and Exposition
CountryUnited States
CityHouston
Period13/11/1519/11/15

Keywords

  • String
  • Vibration

Fingerprint Dive into the research topics of 'On the Vibrations of an Axially Moving String With a Time-Dependent Velocity'. Together they form a unique fingerprint.

Cite this