2.003J Dynamics and Control I (Fall 2007, MIT OCW) | Mechanical Engineering

2.003J Dynamics and Control I

2.003J Dynamics and Control I (Fall 2007, MIT OCW). Instructors: Prof. Nicholas Makris, Prof. Peter So, Prof. Sanjay Sarma, and Dr. Yahya Modarres-Sadeghi. This class is an introduction to the dynamics and vibrations of lumped-parameter models of mechanical systems. Topics include kinematics; force-momentum formulation for systems of particles and rigid bodies in planar motion; work-energy concepts; virtual displacements and virtual work; Lagrange's equations for systems of particles and rigid bodies in planar motion; linearization of equations of motion; linear stability analysis of mechanical systems; free and forced vibration of linear multi-degree of freedom models of mechanical systems; and matrix eigenvalue problems. The class includes an introduction to numerical methods and using MATLAB to solve dynamics and vibrations problems. (from ocw.mit.edu)

Lecture 01 - Course Information; Begin Kinematics

Lecture 02 - The "Spider on a Frisbee" Problem

Lecture 03 - Pulley Problem, Angular Velocity, Magic Formula

Lecture 04 - Magic and Super-magic Formulae

Lecture 05 - Super-magic Formula, Degrees of Freedom, Non-standard Coordinates, Kinematic Constraints

Lecture 06

Lecture 07 - Impulse, Skier Separation Problem

Lecture 08 - Single Particle; Two Particles

Lecture 09 - Dumbbell Problem, Multiple Particle Systems, Rigid Bodies, Derivation of Torque

Lecture 10 - Three Cases, Rolling Disc Problem

References

Dynamics and Control I
Instructors: Prof. Nicholas Makris, Prof. Peter So, Prof. Sanjay Sarma, and Dr. Yahya Modarres-Sadeghi. Assignment (no solutions). Exams (no solutions). Readings.