2.003J / 1.053J Dynamics and Control I

Spring 2007

A diagram of a moving cart attached to a wall by a spring and a dashpot.
A moving cart attached to a wall by a spring and a dashpot. The equations of motion for every 1-degree-of-freedom system can be linearized around the equilibrium points to the second order differential equation that describes this system. Thus, understanding the free response and selected forced responses for this system can give deep insight into the stability of the equilibrium points and the behavior of a large number of systems. See Lectures 20 and 21 for more information. (Image by MIT OCW.)

Course Highlights

This course features a self-contained set of lecture notes, a complete set of assignments, and recitations with assignment hints.

Course Description

Introduction to the dynamics and vibrations of lumped-parameter models of mechanical systems. 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; matrix eigenvalue problems. Introduction to numerical methods and MATLAB® to solve dynamics and vibrations problems.

Recommended Citation

For any use or distribution of these materials, please cite as follows:

Thomas Peacock, Nicolas Hadjiconstantinou, Sanjay Sarma, and Peter So, course materials for 2.003J/1.053J Dynamics and Control I, Spring 2007. MIT OpenCourseWare (http://ocw.mit.edu), Massachusetts Institute of Technology. Downloaded on [DD Month YYYY].

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Staff

Instructors:
Prof. Thomas Peacock
Prof. Nicolas Hadjiconstantinou
Prof. Sanjay Sarma
Prof. Peter So

Course Meeting Times

Lectures:
Two sessions / week
1.5 hours / session

Recitations:
One session / week
1 hour / session

Laboratories:
One session / week
1 hour / session

Level

Undergraduate