Vibrations

Old course code: AE2914 - New course code: AE2106

Solving the Equations of Motion Grade: 5.2

  • Solving the Equations of Motion Summary (139kb)
    This document summarizes the method of solving (in-)homogeneous second order linear differential equations with constant coefficients in the context of vibrations.

Formula Overview Grade: 5.5

  • Vibrations Formula Overview (69kb)
    The most important equations of the vibrations course have been put in this file. It would be wise to remember most of them. Make sure you can derive the equations you can't remember.

Summary Grade: 6.2

The files below are summaries of the most important parts of the Engineering Vibrations book.

  • Free Vibrations (193kb)
    How can we model objects? And how do they vibrate when no external forces are acting on them? Read it here.
  • Damped Motions (102kb)
    This chapter concerns damping. In what ways can a motion be damped? And what does this say about the stability of the motion?
  • Harmonic Excitation (95kb)
    Resonance? Harmonic excitation? Beat phenomenon? Never heard of it? Change it by reading this chapter.
  • General Forced Vibrations (77kb)
    This chapter tells you how to deal with more difficult systems: When the forcing function is an impulse function, a step function or a periodic function.
  • Multiple-Degree-of-Freedom Systems (106kb)
    How do we deal with objects that can move in multiple directions, or if there are more objects that can move simultaneously? Find it out with this chapter.
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Vibrations Book Solutions Grade: 9.2

Below are the solutions to the exercises of the vibrations book.