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,
- the slides i used,
- a ready to print version of the slides,
- the spreadsheet (Open Document format) implementing Duhamel Integral and
- the same spreadsheet (Excel format),
- the FFT example notebook, note that to interact with and edit the notebook you have to install ipython, should you prefer not to you may look to a static rendering of the notebook.