Paggi, Marco and Carpinteri, Alberto A theoretical and numerical approach to the interaction between buckling and resonance instabilities in discrete and continuous mechanical systems. In: Proceedings of the 19th AIMETA Congress of Theoretical and Applied Mechanics. Aras Edizioni, pp. 1-10. ISBN 9788896378083 (2009)Full text not available from this repository.
The paper deals with the interaction between buckling and resonance instabilities of mechanical systems. Taking into account the effect of geometric nonlinearity in the equations of motion through the geometric stiffness matrix, the problem is reduced to a generalized eigenproblem where both the loading multiplier and the natural frequency of the system are unknown. According to this approach, all the forms of instabilities intermediate between those of pure buckling and pure forced resonance can be investigated. Numerous examples including discrete mechanical systems and continuous mechanical systems, such as oscillating deflected beams subjected to a compressive axial load and oscillating beams subjected to lateral-torsional buckling, are analyzed. The proposed results provide a new insight in the interpretation of coupled phenomena such as flutter instability of long-span or high-rise structures.
|Item Type:||Book Section|
|Additional Information:||19th AIMETA Congress of Theoretical and Applied Mechanics, Ancona, Italy, September 14-17, 2009|
|Uncontrolled Keywords:||Buckling, Resonance, Flutter, Discrete systems, Continuous systems|
|Subjects:||T Technology > TJ Mechanical engineering and machinery|
|Research Area:||Computer Science and Applications|
|Depositing User:||Prof Marco Paggi|
|Date Deposited:||12 Dec 2013 12:59|
|Last Modified:||09 Oct 2014 09:20|
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