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 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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …