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Concept · from MIT 2.003SC Engineering Dynamics

Vibration of Multi-Degree-of-Freedom Systems

About these materials

MIT's own material for this topic, in MIT's order: Vibration of Multi-Degree-of-Freedom Systems.

Source: MIT OpenCourseWare 2.003SC Engineering Dynamics, Fall 2011, Prof. J. Kim Vandiver, Prof. David Gossard — original course page on ocw.mit.edu ↗. License: CC BY-NC-SA 4.0. Order: the items appear in the order MIT's own session page lists them. Taken from MIT's published course files, downloaded from ocw.mit.edu on September 23, 2026. How RedLectern is built.

MIT's session, in MIT's order

MIT 2.003SC · · This session on MIT OpenCourseWare ↗

Session Overview

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Videos · Lecture Videos

  1. Lecture 23: Vibration by Mode SuperpositionLecture video · transcript Watch
  2. Review of the concept questions with Homework 10Lecture clip · 0:21–1:17:07 · 1:16:46 long · transcript Watch
  3. Overview of the vibration material to be covered in the courseLecture clip · 8:54–1:17:07 · 1:08:13 long · transcript Watch
  4. Linearization of a 2-DOF systemLecture clip · 26:32–1:17:07 · 50:35 long · transcript Watch
  5. Free vibration of linear multi-DOF systems-intro to mode superpositionLecture clip · 34:08–1:17:07 · 42:59 long · transcript Watch
  6. Finding natural frequencies and mode shapes of multi-dof systemsLecture clip · 47:28–1:17:07 · 29:39 long · transcript Watch
  7. Mode superposition analysis of a 2-DOF systemLecture clip · 1:03:46–1:17:07 · 13:21 long · transcript Watch
  8. Lecture 24: Modal Analysis: Orthogonality, Mass Stiffness, Damping MatrixLecture video · transcript Watch
  9. The modal expansion theoremLecture clip · 0:21–1:21:53 · 1:21:32 long · transcript Watch
  10. Vibrating string demonstrationLecture clip · 8:30–1:21:53 · 1:13:23 long · transcript Watch
  11. Demonstration of modes with the 2 DOF mechanical modelLecture clip · 10:19–1:21:53 · 1:11:34 long · transcript Watch
  12. Orthogonality and the computation of the mass and stiffness matricesLecture clip · 12:15–1:21:53 · 1:09:38 long · transcript Watch
  13. Response to initial conditions using modal analysisLecture clip · 31:36–1:21:53 · 50:17 long · transcript Watch
  14. Obtaining uncoupled equations of motion and determination of modal initial conditionsLecture clip · 44:32–1:21:53 · 37:21 long · transcript Watch
  15. Dealing with damping in modal analysisLecture clip · 1:00:46–1:21:53 · 21:07 long · transcript Watch
  16. Rayleigh damping and experimental fitting of damping ratiosLecture clip · 1:06:37–1:21:53 · 15:16 long · transcript Watch

Videos · Recitation Video and Notes

  1. Recitation 11: Double Pendulum SystemProblem-solving video · transcript Watch

Check Yourself · Concept Question Answer Key and Problem Set Solutions

Where this sits in MIT 2.003SC

Open this session in the full course 2.003SC Engineering Dynamics: all units →

MIT OpenCourseWare, Prof. J. Kim Vandiver, Prof. David Gossard, 2.003SC Engineering Dynamics, Fall 2011.

License: CC BY-NC-SA 4.0 · Edition: Fall 2011 · Open the original course on OCW ↗

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