Oleg Kirillov's blog

Honking a bicycle as a non-holonomic Fermi-like acceleration (Advert Reference: SF19/EE/MPEE/KIRILLOV)

https://arxiv.org/abs/1806.03741v1

https://www.springer.com/us/book/9783319937212

MS-7-4

http://www.esmc2018.org/drupal8/node/93

Mini-Symposium 7-4 - Instabilities in Structural Mechanics and Fluid-Structure Interactions at ESMC 2018 in Bologna. Deadline for abstract submission: November 15, 2017. Organizers: Oleg Kirillov (Northumbria University), Olivier Doare (ENSTA Paristech). Mini-symposium description:

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

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.

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.

This monograph gives a complete overview on the subject of nonconservative stability from the modern point of view. Relevant mathematical concepts are presented, as well as rigorous stability results and numerous classical and contemporary examples from mechanics and physics.