Dynamics and Control I

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.)

Instructor(s)

MIT Course Number

2.003J / 1.053J

As Taught In

Spring 2007

Level

Undergraduate

Cite This Course

Course Features

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.

OCW Scholar Version Question_svt logo

MITx Versions

MITx offers a free version of this subject on edX. Please register to get started:

Hadjiconstantinou, Nicholas, Peter So, Sanjay Sarma, and Thomas Peacock. 2.003J Dynamics and Control I, Spring 2007. (MIT OpenCourseWare: Massachusetts Institute of Technology), http://ocw.mit.edu/courses/mechanical-engineering/2-003j-dynamics-and-control-i-spring-2007 (Accessed). License: Creative Commons BY-NC-SA


For more information about using these materials and the Creative Commons license, see our Terms of Use.


Close