%O  19th AIMETA Congress of Theoretical and Applied Mechanics, Ancona, Italy, September 14-17, 2009
%I Aras Edizioni
%T A theoretical and numerical approach to the interaction between buckling and resonance instabilities in discrete and continuous mechanical systems
%P 1-10
%B Proceedings of the 19th AIMETA Congress of Theoretical and Applied Mechanics
%K Buckling, Resonance, Flutter, Discrete systems, Continuous systems
%A Marco Paggi
%A Alberto Carpinteri
%X 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.
%D 2009
%L eprints2054