Dynamics and Vibration (13.013J)

An illustration showing four types of deepwater development systems used in the Gulf of Mexico.

Four types of deepwater development systems used in the Gulf of Mexico. (Image courtesy of the U.S. Department of the Interior.)


MIT Course Number

2.003J / 1.053J

As Taught In

Fall 2002



Cite This Course

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.

OCW Scholar Version Question_svt logo

Other OCW Versions

These different OCW versions provide complementary materials, including lecture videos, detailed lecture notes, and many sample problems.

Archived versions: Question_avt logo

J. Vandiver, and Nicholas Patrikalakis. 2.003J Dynamics and Vibration (13.013J), Fall 2002. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed). License: Creative Commons BY-NC-SA

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