"Эффект Джанибекова". Модель в MSC.ADAMS.
Why Physics Stack Exchange recommends it
Physics Stack Exchange answerers point people to it as a computer simulation of the Dzhanibekov (tennis racket) effect when explaining why a body rotating about its middle axis flips.
Recommended by 1 people across 1 different months, 2011 to 2014.
What it is
A 37-second computer simulation in MSC.ADAMS from a mechanics group at Samara University (SSAU) that illustrates the Dzhanibekov effect. It shows the instability of a rigid body spinning about its intermediate principal axis of inertia, with the body periodically flipping over.
What people said
Recommends Hans de Vries · 2011-11 · Physics Stack Exchange · on “Why does this object periodically turn itself?”
It's a classical mechanics effect for sure although a really interesting one. Following links on "Dzhanibekov effect" one gets at Marsden and Ratiu's "Introduction to Mechanics and Symmetry" [LINK] Chapter 15 Section 15.9 "Rigid Body Stability" treating this with use of the Casimir functions. From remark 1: A rigid body tossed about its middle axis will undergo an interesting half twist when the opposite saddle point is reached . Here is another and more profound example under weightless conditions. [LINK] This seems to be a home experiment where a guy throws the spinning object upwards. [LINK] And this seems to be a computer simulation. [this video] There is a related unstable orbit effect which
Cites Dale · 2013-06 · Physics Stack Exchange · on “Stability of rotation of a rectangular prism”
The instability inherent in the medium length axis or $\prod_2 $ as shown above is discussed in detail in Marsden and Ratiu [LINK] , which is where the image is from. The unstable homoclinic orbit that connect the two unstable points have intersting features. Not only are they interesting because of the chaotic solutions via the Poincare-Melnikov method that can be obtained in various perturbed systems (ref), but already, the orbit itself is interesting since a rigid body tossed about its middle axis will undergo an interesting (and unexpected) half twist when the opposite saddle point is reached even though the rotation axis has returned to where it was. The interesting half-twist is best s
Cites Joe Strout · 2014-07 · Physics Stack Exchange · on “How to simulate rotational instability?”
I'm trying to simulate (for an educational game) the well-known effect that rotating objects with three nonequal moments of inertia are unstable when rotated around the middle axis. Some explanations of this effect are given here: Stability of rotation of a rectangular prism [LINK] Why does this object periodically turn itself? [LINK] [LINK] [LINK] Most of this math is, alas, over my head (though I'm trying). But for my purposes, I need more than just "is the form of a harmonic oscillator" or "is not a harmonic oscillator"; I need to actually reproduce the effect in simulation. I attempted this using Unity's built-in physics engine here: [LINK] You can try it yourself if you have (or install