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Unformatted text preview: 11 SEA SPECTRUM AND MARINE VEHICLE PITCH RESPONSE 21 11 Sea Spectrum and Marine Vehicle Pitch Response 1. Make a plot of the spectrum for about one hundred frequencies from zero to 4 rad/s, with modal frequency ω m = 1 rad/s, and significant wave height H 1 / 3 = 0.90m. See the top graph in Figure 2 for the wave spectrum. 2. Confirm that the area under the spectrum is equal to E S , by making a numerical integration. You can then take this E S to double-check H 1 / 3 . The area under the curve E is 0.0502; it was supposed to be 0.0506. Note in the MATLAB code that I randomize the actual frequencies used; this is to avoid related frequencies (as seen in the first problem above). The corresponding significant height is 0.896m; pretty close to the desired value of 0.90m. 3. Make ten minutes worth of this wave-like data, using a sampling period of 0.1 seconds, and show a plot, with the original H 1 / 3 maximum and minimum levels indicated. See the middle graph in Figure 2 for a time-domain realization of this spectrum....
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This note was uploaded on 11/29/2011 for the course CIVIL 1.00 taught by Professor Georgekocur during the Spring '05 term at MIT.
- Spring '05