Abstract
This paper deals with free vibration problems of non-uniform Euler-Bernoulli beam under various supporting conditions. The technique we have used is based on applying the Adomian modified decomposition method (AMDM) to our vibration problems. Doing some simple mathematical operations on the method, we can obtain fth natural frequencies and mode shapes one at a time. The computed results agree well with those analytical and numerical results given in the literatures. These results indicate that the present analysis is accurate, and provides a unified and systematic procedure which is simple and more straightforward than the other modal analysis. Crown
| Original language | English |
|---|---|
| Pages (from-to) | 965-981 |
| Number of pages | 17 |
| Journal | Journal of Sound and Vibration |
| Volume | 318 |
| Issue number | 4-5 |
| DOIs | |
| Publication status | Published - 2008 Dec 23 |
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All Science Journal Classification (ASJC) codes
- Condensed Matter Physics
- Acoustics and Ultrasonics
- Mechanics of Materials
- Mechanical Engineering
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Free vibration of non-uniform Euler-Bernoulli beams with general elastically end constraints using Adomian modified decomposition method. / Hsu, Jung Chang; Lai, Steven Hsin-Yi; Chen, C. K.
In: Journal of Sound and Vibration, Vol. 318, No. 4-5, 23.12.2008, p. 965-981.Research output: Contribution to journal › Article
TY - JOUR
T1 - Free vibration of non-uniform Euler-Bernoulli beams with general elastically end constraints using Adomian modified decomposition method
AU - Hsu, Jung Chang
AU - Lai, Steven Hsin-Yi
AU - Chen, C. K.
PY - 2008/12/23
Y1 - 2008/12/23
N2 - This paper deals with free vibration problems of non-uniform Euler-Bernoulli beam under various supporting conditions. The technique we have used is based on applying the Adomian modified decomposition method (AMDM) to our vibration problems. Doing some simple mathematical operations on the method, we can obtain fth natural frequencies and mode shapes one at a time. The computed results agree well with those analytical and numerical results given in the literatures. These results indicate that the present analysis is accurate, and provides a unified and systematic procedure which is simple and more straightforward than the other modal analysis. Crown
AB - This paper deals with free vibration problems of non-uniform Euler-Bernoulli beam under various supporting conditions. The technique we have used is based on applying the Adomian modified decomposition method (AMDM) to our vibration problems. Doing some simple mathematical operations on the method, we can obtain fth natural frequencies and mode shapes one at a time. The computed results agree well with those analytical and numerical results given in the literatures. These results indicate that the present analysis is accurate, and provides a unified and systematic procedure which is simple and more straightforward than the other modal analysis. Crown
UR - http://www.scopus.com/inward/record.url?scp=55349096450&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=55349096450&partnerID=8YFLogxK
U2 - 10.1016/j.jsv.2008.05.010
DO - 10.1016/j.jsv.2008.05.010
M3 - Article
VL - 318
SP - 965
EP - 981
JO - Journal of Sound and Vibration
JF - Journal of Sound and Vibration
SN - 0022-460X
IS - 4-5
ER -