Reducing Problem Vibration and Intro to Multi-DOF Vibration

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Session Overview

Covered this week: This week we discuss ways of treating vibration problems. In particular the design of vibration isolation supports. Then we consider the vibration of systems with multiple degrees of freedom. The Brooklyn Bridge is one of the oldest suspension bridges in the United States and the first steel-wire suspension bridge. Image courtesy of Daniel Stone on Flickr.

Videos

Lecture Videos

• Watch Lecture 21: Vibration Isolation

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  Lecture 21: Vibration Isolation

  > Download from iTunes U (MP4 - 257MB)

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  > Download this transcript - PDF English - US

  > Download English - US subtitle (SRT)

  • Video Chapters
    • Demonstration of a vibration isolation system-strobe light and vibrating beam

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      Demonstration of a vibration isolation system-strobe light and vibrating beam

      > Download from iTunes U (MP4 - 257MB)

      > Download from Internet Archive (MP4 - 257MB)

      > Download this transcript - PDF English - US

      > Download English - US subtitle (SRT)

    • Euler's formula for complex numbers

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      Euler's formula for complex numbers

      > Download from iTunes U (MP4 - 257MB)

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      > Download this transcript - PDF English - US

      > Download English - US subtitle (SRT)

    • Hx/F transfer function by complex number approach

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      Hx/F transfer function by complex number approach

      > Download from iTunes U (MP4 - 257MB)

      > Download from Internet Archive (MP4 - 257MB)

      > Download this transcript - PDF English - US

      > Download English - US subtitle (SRT)

    • Base motion Hx/y transfer function-vibration isolation system design

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      Base motion Hx/y transfer function-vibration isolation system design

      > Download from iTunes U (MP4 - 257MB)

      > Download from Internet Archive (MP4 - 257MB)

      > Download this transcript - PDF English - US

      > Download English - US subtitle (SRT)

    • Predicting natural frequency by SQRT(g/delta)

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      Predicting natural frequency by SQRT(g/delta)

      > Download from iTunes U (MP4 - 257MB)

      > Download from Internet Archive (MP4 - 257MB)

      > Download this transcript - PDF English - US

      > Download English - US subtitle (SRT)

    • Vibration isolation of the source-H-Ft/Fo transferfunction-with strobe light demo

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      Vibration isolation of the source-H-Ft/Fo transferfunction-with strobe light demo

      > Download from iTunes U (MP4 - 257MB)

      > Download from Internet Archive (MP4 - 257MB)

      > Download this transcript - PDF English - US

      > Download English - US subtitle (SRT)

• Watch 17008672lecture22:findingnaturalfrequencies&modeshapesofa2dofsystem52809863
  • Video Chapters
    • Obtain the equations of motion of a 2 DOF system

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      Obtain the equations of motion of a 2 DOF system

      > Download from iTunes U (MP4 - 266MB)

      > Download from Internet Archive (MP4 - 266MB)

      > Download this transcript - PDF English - US

      > Download English - US subtitle (SRT)

    • Finding the natural frequencies by the characteristic equation

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      Finding the natural frequencies by the characteristic equation

      > Download from iTunes U (MP4 - 266MB)

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      > Download this transcript - PDF English - US

      > Download English - US subtitle (SRT)

    • Finding the modes shapes of the 2 DOF system

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      Finding the modes shapes of the 2 DOF system

      > Download from iTunes U (MP4 - 266MB)

      > Download from Internet Archive (MP4 - 266MB)

      > Download this transcript - PDF English - US

      > Download English - US subtitle (SRT)

    • Matlab simulation of the response of the 2 DOF system to initial conditions

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      Matlab simulation of the response of the 2 DOF system to initial conditions

      > Download from iTunes U (MP4 - 266MB)

      > Download from Internet Archive (MP4 - 266MB)

      > Download this transcript - PDF English - US

      > Download English - US subtitle (SRT)

    • Physical demonstration of the motion of a real 2 DOF system

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      Physical demonstration of the motion of a real 2 DOF system

      > Download from iTunes U (MP4 - 266MB)

      > Download from Internet Archive (MP4 - 266MB)

      > Download this transcript - PDF English - US

      > Download English - US subtitle (SRT)

Recitation Video and Notes

• Watch Recitation 10: Steady State Dynamics

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  Recitation 10: Steady State Dynamics

  > Download from iTunes U (MP4 - 96MB)

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  > Download this transcript - PDF English - US

  > Download English - US subtitle (SRT)

  • This recitation covers a steady state frequency response problem.
• Recitation 10 Notes: Natural Frequency From Deflection & Frequency Response (PDF)
  • These recitation notes were compiled by Prof. David Gossard, another instructor for the course. His notes go over concepts and problems covered during the recitation sections he taught, and may not precisely correspond to the content covered in the above recitation video.

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