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The vibration behaviour of thin-walled regular polygonal tubes
Abstract This paper addresses the free vibration behaviour of single-cell thin-walled tubes with regular convex polygonal cross-section (RCPS) and provides an extensive analysis of the resulting natural frequencies and associated vibration mode shapes. A semi-analytical approach is adopted, which is based on the generalised beam theory (GBT) specialisation for RCPS recently proposed by Gonçalves and Camotim (2013) [1] and subsequently employed to obtain insightful conclusions concerning the buckling behaviour of RCPS tubes (Gonçalves and Camotim (2013) [2,3]). This approach makes it possible to obtain closed-form analytical solutions and also acquire in-depth knowledge concerning the mechanics of the vibration problem, through the well-known GBT modal decomposition features. Attention is paid to local (plate-like), extensional, torsional and distortional vibration modes, as well as their interaction.
Highlights The undamped free vibration behaviour of polygonal tubes is presented. Local, extensional, distortional, torsional and multi-mode vibration modes are investigated. Numerical and analytical closed-form solutions are presented. Duplicate vibration modes are obtained in some cases.
The vibration behaviour of thin-walled regular polygonal tubes
Abstract This paper addresses the free vibration behaviour of single-cell thin-walled tubes with regular convex polygonal cross-section (RCPS) and provides an extensive analysis of the resulting natural frequencies and associated vibration mode shapes. A semi-analytical approach is adopted, which is based on the generalised beam theory (GBT) specialisation for RCPS recently proposed by Gonçalves and Camotim (2013) [1] and subsequently employed to obtain insightful conclusions concerning the buckling behaviour of RCPS tubes (Gonçalves and Camotim (2013) [2,3]). This approach makes it possible to obtain closed-form analytical solutions and also acquire in-depth knowledge concerning the mechanics of the vibration problem, through the well-known GBT modal decomposition features. Attention is paid to local (plate-like), extensional, torsional and distortional vibration modes, as well as their interaction.
Highlights The undamped free vibration behaviour of polygonal tubes is presented. Local, extensional, distortional, torsional and multi-mode vibration modes are investigated. Numerical and analytical closed-form solutions are presented. Duplicate vibration modes are obtained in some cases.
The vibration behaviour of thin-walled regular polygonal tubes
Gonçalves, Rodrigo (author) / Camotim, Dinar (author)
Thin-Walled Structures ; 84 ; 177-188
2014-06-28
12 pages
Article (Journal)
Electronic Resource
English
The vibration behaviour of thin-walled regular polygonal tubes
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On the first order and buckling behaviour of thin-walled regular polygonal tubes
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