Takano Lab
Hiroshi Takano
Joetsu University of Education
〒943-8512 Yamayashiki-1 Joetsu Niigata Japan


to japanese Web page(日本語サイト)

My reserch
to my reserch map

Rattleback

Article
Spin Reversal of a Rattleback with Viscous Friction
(Regular and Chaotic Dynamics, Vol.19(1) 81-99, Feb, 2014)

3D visualization simulation of rattleback
Simulated movement when not sliding with rattleback (ellipsoid + weight).
The size of the ellipsoid and the position of the weight can be changed.
Download the Mathematica file below and run it with Mathematica itself.
It doesn't work well in WolframPlayer.
I have a problem with animations in a single Manipulate.
Please let me know if anyone has been able to improve it.
Mathematica file

Reverses three times.
Washer on a Rod (Chatter ring)

Keijiro Sato's work
Over the Waves (1974)
2PCmode numerical simulation Mathematica file
download file

Video
l1=5mm, l1=6mm, l1=8mm, l1=10mm, l1=12mm, l1=14mm, l1=15mm, l1=16mm, l1=18mm

Article
Analyzing the Motion of a Washer on a Rod
(Regular and Chaotic Dynamics, Vol.28(No.2) 227-250, Mar, 2023)

Continuous Rolling Motion of a Disk on a Vibrating Plate

Article
Continuous Rolling Motion of a Disk on a Vibrating Plate
(Nonlinear Dynamics, 100(3) 2205-2214, May, 2020)

Straw along a Vibrating Rod

Article
Motion of an articulated straw along a vibrating rod
(submitted to Regular and Chaotic Dynamics)

A work created in an attempt to reproduce the work of Keijiro Sato
Vertical motion of a styrofoam ball passing through an oscillating (orbiting) rod

When a straw is passed through the vibrating rod, it moves up and down. At the end, it comes back. Anyway, take a look at this video.

Video
vertical movement(the tip of the rod is up)
horizontal movement
vertical movement(the tip of the rod is down)