Four types of deepwater development systems used in the Gulf of Mexico. (Image courtesy of the U.S. Department of the Interior.)
Instructor(s)
Prof. J. Kim Vandiver
Prof. Nicholas Patrikalakis
MIT Course Number
2.003J / 1.053J
As Taught In
Fall 2002
Level
Undergraduate
Course Description
Course Features
Course Highlights
This course includes a full set of assignments, sample exams, and student feedback forms.
Course Description
Introduction to dynamics and vibration of lumped-parameter models of mechanical systems. Three-dimensional particle kinematics. Force-momentum formulation for systems of particles and for rigid bodies (direct method). Newton-Euler equations. Work-energy (variational) formulation for systems particles and for rigid bodies (indirect method). Virtual displacements and work. Lagrange's equations for systems of particles and for rigid bodies. Linearization of equations of motion. Linear stability analysis of mechanical systems. Free and forced vibration of linear damped lumped parameter multi-degree of freedom models of mechanical systems. Application to the design of ocean and civil engineering structures such as tension leg platforms.
This subject was originally offered in Course 13 (Department of Ocean Engineering) as 13.013J. In 2005, ocean engineering became part of Course 2 (Department of Mechanical Engineering), and this subject merged with 2.003.
Other Versions
OCW Scholar Version 
Other OCW Versions
These different OCW versions provide complementary materials, including lecture videos, detailed lecture notes, and many sample problems.
- 2.003J Dynamics and Control I (Fall 2007)
- 2.003J Dynamics and Control I (Spring 2007)
- 2.003 Modeling Dynamics and Control I (Spring 2005)
Archived versions: 