Flutter instability in solids and structures, with a view on biomechanics and metamaterials

D Bigoni, F Dal Corso, ON Kirillov… - … of the Royal …, 2023 - royalsocietypublishing.org
The phenomenon of oscillatory instability called 'flutter'was observed in aeroelasticity and
rotor dynamics about a century ago. Driven by a series of applications involving non …

[图书][B] Nonconservative stability problems of modern physics

ON Kirillov - 2021 - books.google.com
This updated revision gives a complete and topical overview on Nonconservative Stability
which is essential for many areas of science and technology ranging from particles trapping …

Flutter and divergence instability in the Pflüger column: Experimental evidence of the Ziegler destabilization paradox

D Bigoni, ON Kirillov, D Misseroni, G Noselli… - Journal of the …, 2018 - Elsevier
Flutter instability in elastic structures subject to follower load, the most important cases being
the famous Beck's and Pflüger's columns (two elastic rods in a cantilever configuration, with …

Modal and stability analysis of structures in periodic elastic states: application to the Ziegler column

B Bentvelsen, A Lazarus - Nonlinear Dynamics, 2018 - Springer
We present a spectral method to compute the transverse vibrational modes, or Floquet
Forms (FFs), of a 2 D bi-articulated bar in periodic elastic state due to an end harmonic …

[HTML][HTML] Analytical solution of the cantilevered elastica subjected to a normal uniformly distributed follower load

E Barbieri - International Journal of Solids and Structures, 2020 - Elsevier
We report the full analytical solution of the large deformations of a cantilevered elastica
loaded by a uniformly distributed follower pressure. We consider an unshearable …

Reduced-order models for nonlinear flutter of composite laminates with curvilinear fibers

H Akhavan, P Ribeiro - AIAA Journal, 2019 - arc.aiaa.org
Approximation errors due to using reduced-order, instead of full-order, models in the
nonlinear flutter problem of variable-stiffness composite laminates (VSCLs) are qualitatively …

On the effects of linear damping on the nonlinear Ziegler's column

F D'Annibale, M Ferretti - Nonlinear Dynamics, 2021 - Springer
In this paper, the effects of linear damping on the post-critical behavior of the Ziegler's
column are discussed. To this end, the well-known double-pendulum, loaded at the free-end …

Non-holonomic constraints inducing flutter instability in structures under conservative loadings

A Cazzolli, F Dal Corso, D Bigoni - Journal of the Mechanics and Physics of …, 2020 - Elsevier
Non-conservative loads of the follower type are usually believed to be the source of dynamic
instabilities such as flutter and divergence. It is shown that these instabilities (including Hopf …

Singular diffusionless limits of double-diffusive instabilities in magnetohydrodynamics

ON Kirillov - Proceedings of the Royal Society A …, 2017 - royalsocietypublishing.org
We study local instabilities of a differentially rotating viscous flow of electrically conducting
incompressible fluid subject to an external azimuthal magnetic field. In the presence of the …

Structures loaded with a force acting along a fixed straight line, or the “Reut's column problem”

D Bigoni, D Misseroni - Journal of the Mechanics and Physics of Solids, 2020 - Elsevier
An elastic double pendulum subject to a force acting along a fixed straight line, the so-called
“Reut's column problem”, is a structure exhibiting flutter and divergence instability, which …