Abstract
An eigenanalysis problem concerning planar closed-frame structures is investigated. A hybrid analytical/numerical method is proposed that permits an efficient dynamic analysis of these structures. The method utilizes a numerical implementation of a transfer matrix solution to the analytical equation of motion. By using the Timoshenko beam theory, by analyzing the transverse and longitudinal motions of each segment simultaneously, and by considering the compatibility requirements across each frame angle, the undetermined variables of the entire frame structure system can be reduced to six. Then, by considering the relationship between the first segment and the last segment in the closed structure, the eigenvalues can be obtained by the existence of the non-trivial solutions. The main feature of this method is decreasing the dimensions of the matrix involved in the finite element methods and various other analytical methods.
| Original language | English |
|---|---|
| Pages (from-to) | 249-264 |
| Number of pages | 16 |
| Journal | Journal of Sound and Vibration |
| Volume | 282 |
| Issue number | 1-2 |
| DOIs | |
| Publication status | Published - 2005 Apr 6 |
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All Science Journal Classification (ASJC) codes
- Condensed Matter Physics
- Mechanics of Materials
- Acoustics and Ultrasonics
- Mechanical Engineering
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Dynamic analysis of planar closed-frame structures. / Lin, Hai Ping; Wu, Jian Da.
In: Journal of Sound and Vibration, Vol. 282, No. 1-2, 06.04.2005, p. 249-264.Research output: Contribution to journal › Article
TY - JOUR
T1 - Dynamic analysis of planar closed-frame structures
AU - Lin, Hai Ping
AU - Wu, Jian Da
PY - 2005/4/6
Y1 - 2005/4/6
N2 - An eigenanalysis problem concerning planar closed-frame structures is investigated. A hybrid analytical/numerical method is proposed that permits an efficient dynamic analysis of these structures. The method utilizes a numerical implementation of a transfer matrix solution to the analytical equation of motion. By using the Timoshenko beam theory, by analyzing the transverse and longitudinal motions of each segment simultaneously, and by considering the compatibility requirements across each frame angle, the undetermined variables of the entire frame structure system can be reduced to six. Then, by considering the relationship between the first segment and the last segment in the closed structure, the eigenvalues can be obtained by the existence of the non-trivial solutions. The main feature of this method is decreasing the dimensions of the matrix involved in the finite element methods and various other analytical methods.
AB - An eigenanalysis problem concerning planar closed-frame structures is investigated. A hybrid analytical/numerical method is proposed that permits an efficient dynamic analysis of these structures. The method utilizes a numerical implementation of a transfer matrix solution to the analytical equation of motion. By using the Timoshenko beam theory, by analyzing the transverse and longitudinal motions of each segment simultaneously, and by considering the compatibility requirements across each frame angle, the undetermined variables of the entire frame structure system can be reduced to six. Then, by considering the relationship between the first segment and the last segment in the closed structure, the eigenvalues can be obtained by the existence of the non-trivial solutions. The main feature of this method is decreasing the dimensions of the matrix involved in the finite element methods and various other analytical methods.
UR - http://www.scopus.com/inward/record.url?scp=17844405056&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=17844405056&partnerID=8YFLogxK
U2 - 10.1016/j.jsv.2004.02.027
DO - 10.1016/j.jsv.2004.02.027
M3 - Article
AN - SCOPUS:17844405056
VL - 282
SP - 249
EP - 264
JO - Journal of Sound and Vibration
JF - Journal of Sound and Vibration
SN - 0022-460X
IS - 1-2
ER -