Application of the Adomian modified decomposition method for a beam with a single section discontinuity resting on an elastic foundation

Desmond Adair, Askar Ibrayev, Jong R. Kim, Martin Jaeger

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The relatively efficient and accurate Adomian modified decomposition method (AMDM) is used in this paper to investigate the free vibrations of Euler-Bernoulli beams, with a single section discontinuity present, and resting on a two-parameter elastic foundation. This work develops a fast and accurate method of calculation, with the ability to change boundary conditions easily. Analytical calculations are presented for natural frequencies and associated mode shapes, which are compared with experimental and calculated results found by experimental and other calculation methods reported in the literature

Original languageEnglish
Title of host publicationProceedings of the 26th International Congress on Sound and Vibration, ICSV 2019
PublisherCanadian Acoustical Association
ISBN (Electronic)9781999181000
Publication statusPublished - Jan 1 2019
Event26th International Congress on Sound and Vibration, ICSV 2019 - Montreal, Canada
Duration: Jul 7 2019Jul 11 2019

Publication series

NameProceedings of the 26th International Congress on Sound and Vibration, ICSV 2019

Conference

Conference26th International Congress on Sound and Vibration, ICSV 2019
CountryCanada
CityMontreal
Period7/7/197/11/19

Fingerprint

discontinuity
decomposition
Euler-Bernoulli beams
modal response
free vibration
resonant frequencies
boundary conditions

Keywords

  • ADM
  • Beam
  • Discontinuity
  • Elastic foundation

ASJC Scopus subject areas

  • Acoustics and Ultrasonics

Cite this

Adair, D., Ibrayev, A., Kim, J. R., & Jaeger, M. (2019). Application of the Adomian modified decomposition method for a beam with a single section discontinuity resting on an elastic foundation. In Proceedings of the 26th International Congress on Sound and Vibration, ICSV 2019 (Proceedings of the 26th International Congress on Sound and Vibration, ICSV 2019). Canadian Acoustical Association.

Application of the Adomian modified decomposition method for a beam with a single section discontinuity resting on an elastic foundation. / Adair, Desmond; Ibrayev, Askar; Kim, Jong R.; Jaeger, Martin.

Proceedings of the 26th International Congress on Sound and Vibration, ICSV 2019. Canadian Acoustical Association, 2019. (Proceedings of the 26th International Congress on Sound and Vibration, ICSV 2019).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Adair, D, Ibrayev, A, Kim, JR & Jaeger, M 2019, Application of the Adomian modified decomposition method for a beam with a single section discontinuity resting on an elastic foundation. in Proceedings of the 26th International Congress on Sound and Vibration, ICSV 2019. Proceedings of the 26th International Congress on Sound and Vibration, ICSV 2019, Canadian Acoustical Association, 26th International Congress on Sound and Vibration, ICSV 2019, Montreal, Canada, 7/7/19.
Adair D, Ibrayev A, Kim JR, Jaeger M. Application of the Adomian modified decomposition method for a beam with a single section discontinuity resting on an elastic foundation. In Proceedings of the 26th International Congress on Sound and Vibration, ICSV 2019. Canadian Acoustical Association. 2019. (Proceedings of the 26th International Congress on Sound and Vibration, ICSV 2019).
Adair, Desmond ; Ibrayev, Askar ; Kim, Jong R. ; Jaeger, Martin. / Application of the Adomian modified decomposition method for a beam with a single section discontinuity resting on an elastic foundation. Proceedings of the 26th International Congress on Sound and Vibration, ICSV 2019. Canadian Acoustical Association, 2019. (Proceedings of the 26th International Congress on Sound and Vibration, ICSV 2019).
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