2012-03-27

SDOF system response to Periodic and Non-Periodic Loading

In this class we studied

  • the response of a SDOF system to periodic and non periodic loads, using either a Fourier Series or a Fourier Transform representation of loading, the frequency response function and superposition of effects,
  • the opportunity of using, in place of the Fourier Transform, the Discrete Fourier Transform (DFT) and the connected issue of frequency aliasing,
  • an efficient algorithm, the so called Fast Fourier Transform or FFT, for computing the DFT,
  • the response of a SDOF system to a generic load in terms of system response to infinitesimal impulses composed using superposition of effects by a convolutin integral, the so called Duhamel Integral,
  • the relationship that exists between the two general method of solution, in the time and frequency domain.

Some material used in this class is now available,

Giacomo Boffi