Skip to main content

Oleg Kirillov's blog

The first experimental evidence of the Ziegler destabilization paradox

Submitted by Oleg Kirillov on

A “flutter machine” is introduced for the investigation of a singular interface between the classical and reversible Hopf bifurcations that is theoretically predicted to be generic in nonconservative reversible systems with vanishing dissipation. In particular, such a singular interface exists for the Pflüger viscoelastic column moving in a resistive medium, which is proven by means of the perturbation theory of multiple eigenvalues with the Jordan block.

Call for abstracts: Mini-Symposium "Instabilities in Structural Mechanics and Fluid-Structure Interactions" at ESMC 2018

Submitted by Oleg Kirillov on

This is the first announcement of the

Mini Symposium "Instabilities in Structural Mechanics and Fluid-Structure Interactions"

Organizers:
Oleg Kirillov (Northumbria University, UK), Olivier Doare (ENSTA ParisTech, France)

In the frame of ESMC 2018 - 10th European Solid Mechanics Conference, July 2-6, 2018 Bologna, Italy

CISM-AIMETA Advanced School DYNAMIC STABILITY AND BIFURCATION IN NONCONSERVATIVE MECHANICS

Submitted by Oleg Kirillov on

Davide Bigoni and Oleg Kirillov co-ordinate the CISM-AIMETA Advanced School on
DYNAMIC STABILITY AND BIFURCATION IN NONCONSERVATIVE MECHANICS
The course will be held at CISM in Udine on April 10-14 2017

Invited Lecturers

Davide Bigoni - Università di Trento, Italy


6 lectures on: The experimental realization of follower forces and the
evidence of flutter and divergence instability. How to experimentally
attack the problem of the Ziegler paradox. Flutter and friction. Flutter
in continuous media: the case of granular materials.

Robust Stability at the Swallowtail Singularity

Submitted by Oleg Kirillov on

Consider the set of monic fourth-order real polynomials transformed so that the constant term is one. In the three-dimensional space of the coefficients describing this set, the domain of asymptotic stability is bounded by a surface with the Whitney umbrella singularity. The maximum of the real parts of the roots of these polynomials is globally minimized at the Swallowtail singular point of the discriminant surface of the set corresponding to a negative real root of multiplicity four.