On Boundary Damping for Semi-Infinite Strings and Beams

Tugce Akkaya, Wim van Horssen

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

Abstract

In this paper, initial boundary value problems for a linear string and beam equation are considered. The main aim is to study the reflection of an incident wave at the boundary and the damping properties for different types of boundary conditions such as a mass-spring-dashpot for semi-infinite strings, and pinned, sliding, clamped and damping boundary conditions for semi-infinite beams. The system of transverse vibrations are divided into model 1 and model 2 which are described as a string problem and beam problem, respectively. In order to construct explicit solutions of the boundary value problem for the first model the D’Alembert method will be used to the one dimensional wave equation on the semi-infinite domain, and for the second model the method of Laplace transforms will be applied to a beam equation on a semi-infinite domain. It will be shown how waves are damped and reflected for different types of boundaries and how much energy is dissipated at the boundary.
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
  • Damping

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