Overview
Syllabus
Get it?.
Introduction of topics.
Unusual behavior of rolling and spinning bodies, like the tippe top and a spinning egg.
Coupled, multi-rigid body systems, such as the acrobot (acrobat robot on the high bar).
Conservation of angular momentum and interesting applications, such as astronaut reorientation in space ("Elroy's beanie"), tail-assisted pitch control of jumping lizards (suggesting the use of tails for robots), how cats land on their feet, and pitch control of cars in a jump off a ramp. The jumping lizards material is from http://doi.org/10.1038/nature10710.
Gyro-stabilization of ships (watercraft rocking due to waves) and control momentum gyroscopes for spacecraft. The company that makes the ship-stabilizing gyro is https://www.seakeeper.com.
Impact dynamics or impulsive dynamics, instantaneous dynamics vs. continuous dynamics. Applications include passive dynamic walking (of a simple compass bipedal walker), jumping popper toy (quick release of stored elastic energy), and ballistic jaw propulsion of trap-jaw ants ("ejection seat"). More about trap-jaw ants from Sheila Patek's paper: https://www.pnas.org/content/pnas/103/34/12787.full.pdf.
Continuous systems of changing geometry modeled as quasi-rigid bodies (that is bodies with time-varying geometry) with time-varying moment of inertia, e.g., the flying snake. More about flying snake modeling: https://youtu.be/0PQ1_XpjBso.
Taught by
Ross Dynamics Lab