SEA STATE PARAMETERS AND ENGINEERING WAVE SPECTRA

Exercise 3.1: Check that for the Pierson-Moskowitz spectrum with A and B defined as

that

Exercise 3.2: Show that the JONSWAP spectrum reduces to the Pierson-Moskowitz spectral form when g = 1. Also show that the Pierson-Moskowitz spectrum is approximately proportional to for high values of .

Exercise 3.3: Consider the directional spectrum

Find expressions for Hm0, Tm02, and (Hint: Determine and ).

Exercise 3.3: Consider the following simple directional distribution

Determine and .

Exercise 3.4: Consider the directional spectrum

Find expressions for Hm0, Tm02, and (Hint: Determine and ).