moorepants
Motivating problems
Planar Double Pendulum
- 2D
- two revolute joints
- holonomic system
- gravity
- can demonstrate chaos
Baby Boot
https://pydy.readthedocs.io/en/latest/examples/chaos-pendulum.html
- 3D
- two revolute joints
- holonomic system
- gravity
- can demonstrate chaos
Chaplygin sleigh
- 2D, planar
- nonholonomic constraint
Whipple-Carvallo Bicycle
https://pydy.readthedocs.io/en/latest/examples/carvallo-whipple.html
- 3D
- holonomic constraint
- nonholonomic constraints
- conservative
- self-stable
Quadcopter
- 3D
- 1 rigid body
- useful for quaternion explanation
Bicycle model of the car
- 2D
- planar
Heave-pitch model of a car (half car model)
Ape Swing
- A planar multi-link pendulum
- Gomes & Ruina paper https://doi.org/10.1016/j.jtbi.2005.04.014
Simple walker (rabbit toy)
Skateboard
https://doi.org/10.1115/1.3424680
- conservative
- self-stable
Standing balance
Quadraped
Control moment gyro
Segway
https://github.com/moorepants/eme171/blob/master/content/pages/segway-simulation.rst
https://moorepants.github.io/eme171/modeling-simulation-and-control-of-a-segway.html
Explorer 1 instability
https://youtu.be/RdDJtUxLwqQ
Dzhanibekov Effect
https://en.wikipedia.org/wiki/Tennis_racket_theorem
https://i.imgur.com/FGy1ZKq.mp4
Double jump
https://twitter.com/rosshm16/status/1488213307391721473
Falling cat
https://en.wikipedia.org/wiki/Falling_cat_problem
Parallel parking problem
nonholonomic
Balanced-arm lamp
These hug lamps in Rotterdam work that way:
https://en.wikipedia.org/wiki/Balanced-arm_lamp#/media/File:GraphyArchy_-_Wikipedia_00323.jpg
https://en.wikipedia.org/wiki/Luxo_Jr.
Orrery
https://www.rijksmuseum.nl/en/collection/NG-NM-11700
https://darkcrystal.fandom.com/wiki/Aughra's_observatory
Dutch kinetic art flat rotating plates
https://www.reddit.com/r/Rotterdam/comments/svo3cs/hij_maakt_overuren/
Moments of inertia of birds
https://www.nature.com/articles/s41586-022-04477-8
Wobble toy
https://youtu.be/Oo9H970JLg8
ball or disc rolling on a turn table
https://youtu.be/3oM7hX3UUEU
Pantograph
Watt's Linkage
Bennet's Linkage
https://web.archive.org/web/20170220094157/synthetica.eng.uci.edu/Animations-3/Bennett_Linkage.gif
Interesting ski jump: https://www.instagram.com/reel/ClZP9Oigcbc/?igshid=YmMyMTA2M2Y%3D
Can't move in translation in space: https://www.reddit.com/r/interestingasfuck/comments/zl0pcx/an_astronaut_in_microg_without_access_to_handles/
Suspension of rally truck: https://www.reddit.com/r/nextfuckinglevel/comments/zlgl5v/50000_suspension_in_action/
Interesting page about debunking gyroscope misconceptions: http://www3.eng.cam.ac.uk/~hemh1/gyroscopes/htmlgyroscopes.html
I am fascinated by these effects! Whenever possible, I include one in my simulations - mostly possible.
I never had any doubt, that they could not be derived from Newton's and Euler's Laws, though! ( Amazing, what nonsense one may present even at the Royal Society!) As I understand, you are the expert, it is this effect, that when you ride a bike, you never go completely straight, so you do not fall off the bike.
On Thu 20. Apr 2023 at 15:16 Jason K. Moore @.***> wrote:
Interesting page about debunking gyroscope misconceptions: http://www3.eng.cam.ac.uk/~hemh1/gyroscopes/htmlgyroscopes.html
— Reply to this email directly, view it on GitHub https://github.com/moorepants/learn-multibody-dynamics/issues/5#issuecomment-1515916026, or unsubscribe https://github.com/notifications/unsubscribe-auth/AT5MQUVRIQ7QHLMPF3SM5L3XCDWGRANCNFSM5AL3BQFA . You are receiving this because you are subscribed to this thread.Message ID: @.***>
-- Best regards,
Peter Stahlecker
Riccardo mentioned doing something about the vibration of the TU Delft tram (that caused the delays).
Riccardo mentioned doing something about the vibration of the TU Delft tram (that caused the delays).
I am somehow not 'clicking' :-(