[1/2] Pinion-rack dynamics, equivalent mass/moment of inertia, reaction force/torque скачать в хорошем качестве

[1/2] Pinion-rack dynamics, equivalent mass/moment of inertia, reaction force/torque

This video discusses dynamic mechanical modeling of a rack-and-pinion mechanism with one degree of freedom. Newton's equations (force balances, including reaction force) and the kinematic constraint linking linear and angular displacements (and, subsequently, velocities and accelerations) are presented. With that complete model, two equivalent simplified models are then presented, either seen from the gear side (equivalent inertia) or seen from the rack (equivalent mass) side. Indeed, since the model only has 1 degree of freedom, everything can be reduced to a n ordinary differential equation of order 2 of "equivalent mass or inertia" times "linear or angular acceleration" equal to equivalent force or torque, respectively. The final part of the video calculates the reaction force between the rack and pinion, both in equilibrium (zero acceleration) and out of it. An equivalent approach based on the Euler-Lagrange formalism (with kinematic constraints) appears in video    • [2/2] Pinion-rack dynamical model: Euler-L...   . ________________ PDF/code/notes at: http://personales.upv.es/asala/YT/V/p... #mechanics #newtonslawsofmotion #physics #mechanicalengineering _________________ Antonio Sala, UPV Full collection of videos at: http://personales.upv.es/asala/YT/ind...