Snap-Through transitions occur when an elastic structure remains in an equilibrium configuration that suddenly ceases to exist or becomes unstable. The structure is then forced to "jump" to another equilibrium configuration through a brutal shape transition. This phenomenon is harnessed by different species in nature to generate large amplitude and fast motion. This is the case, for example, with venus flytraps and hummingbirds that harness this mechanism to trap their preys. While these transitions are known to be related to the type of bifurcation the system undergoes, there is no general understanding of the mechanisms that select these bifurcations. In this work, we address this problem by analyzing simple systems where an elastic strip is maintained in a buckled configuration and actuated by translating or rotating its boundaries.
With H. Bense, L. Domino, G. Kozyreff, E. Kanso
A premixed flame is a self sustained chemical reaction that propagates through a gaseous reactive mixture. Under certain conditions, this reactive fluid dynamic problem can be reduced to an equation describing the dynamics of the reactive front. These simplified models provide a fundamental understanding of the physical mechanisms at play in premixed flame dynamics. However, a very few studies have performed quantitative comparisons between the dynamics described by these front equations and the one observed with experimental flames. One of the major difficulties is the three dimensional aspect of the reactive front that makes it difficult to analyze experimentally. In this work we address these questions by carrying experiments in a Hele-Shaw burner, an apparatus that makes the dynamics quasi bidimensional and allows to access the exact shape of the flame at every instant in time.
With C. Almarcha, B. Denet, E. Villermaux, P. Boivin, J. Quinard, E. Al-Sarraf, P.L. Garcia Ybarra, J. Piketty-Moine, M. Tayyab.
We study the dynamics of a skateboard robot that moves its center of mass up and down along the radial direction of the ramp thereby mimicking the crouching motion performed by real skateboarders to increase their speed. We show that this up and down motion acts as a parametring forcing that triggers a resonance responsible for an increase in amplitude of the skateboard oscillations.
by A. Thuillier (M2 internship École de l'air et de l'espace)
We study the dynamics of a rubber ball evolving in a double potential well landscape forced by a sinusoidal motion, a setup designed to study experimentally the dynamics of the Duffing Oscillator.
by L. Gally and R. Utulo (L3 internship Sorbonne Université) in collaboration with A. Hajczak (MCF Sorbonne Université) and JC. Chassaing (Prof. Sorbonne Université)
Here are some online resources that I found interesting and also a few documents related to my research.
-An article by Romain Brette about the general organization of research.
-A talk given by Marie Farge (in french) about scientific publishing.
- Marc Buffat's webpage (in french) for the interactive courses based on Python notebooks and other Arduino projects resources.
- Antoine Bérut's webpage for the very clear and convenient PhD thesis manuscript template in Latex and other interesting resources about Arduino, Python and his personal research.
-Here is a tutorial on how to drive a stepper motor in order to achieve a sinusoidal motion (using Arduino).
-Here is my PhD thesis manuscript: the first part is in French, the second is in Frenglish (sorry to both French and English speakers)...
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