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 language | English |
|---|---|
| Title of host publication | Proceedings of the 26th International Congress on Sound and Vibration, ICSV 2019 |
| Publisher | Canadian Acoustical Association |
| ISBN (Electronic) | 9781999181000 |
| Publication status | Published - Jan 1 2019 |
| Event | 26th International Congress on Sound and Vibration, ICSV 2019 - Montreal, Canada Duration: Jul 7 2019 → Jul 11 2019 |
Publication series
| Name | Proceedings of the 26th International Congress on Sound and Vibration, ICSV 2019 |
|---|
Conference
| Conference | 26th International Congress on Sound and Vibration, ICSV 2019 |
|---|---|
| Country | Canada |
| City | Montreal |
| Period | 7/7/19 → 7/11/19 |
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Keywords
- ADM
- Beam
- Discontinuity
- Elastic foundation
ASJC Scopus subject areas
- Acoustics and Ultrasonics
Cite this
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 proceeding › Conference contribution
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TY - GEN
T1 - Application of the Adomian modified decomposition method for a beam with a single section discontinuity resting on an elastic foundation
AU - Adair, Desmond
AU - Ibrayev, Askar
AU - Kim, Jong R.
AU - Jaeger, Martin
PY - 2019/1/1
Y1 - 2019/1/1
N2 - 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
AB - 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
KW - ADM
KW - Beam
KW - Discontinuity
KW - Elastic foundation
UR - http://www.scopus.com/inward/record.url?scp=85073013935&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85073013935&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:85073013935
T3 - Proceedings of the 26th International Congress on Sound and Vibration, ICSV 2019
BT - Proceedings of the 26th International Congress on Sound and Vibration, ICSV 2019
PB - Canadian Acoustical Association
ER -