13.42 04/01/04: Morrison's Equation
SPRING 2004 A. H. TECHET
1. General form of Morrison's Equation Flow past a circular cylinder is a canonical problem in ocean engineering. For a purely inviscid, st
13.42 Spring 2005
13.42 Design Principles for Ocean Vehicles
Prof. A.H. Techet Spring 2005
1. Coupled Equation of Motion in Heave and Pitch
x3
x
5
Once we have set up the simple equation of motion for
13.42 Spring 2005
13.42 Design Principles for Ocean Vehicles
Prof. A.H. Techet Spring 2005
Froude Krylov Excitation Force
1. Radiation and Diffraction Potentials
The total potential is a linear superp
13.42 Spring 2005
13.42 Design Principles for Ocean Vehicles
Prof. A.H. Techet Spring 2005
1. Forces on Large Structures
For discussion in this section we will be considering bodies that are quite lar
13.42 Design Principles for Ocean Vehicles
Reading #
13.42 Design Principles for Ocean Vehicles
Prof. A.H. Techet Spring 2005
1. Ocean Wave Spectra
1. Wave energy spectra. Red text indicates wave gene
13.42 Design Principles for Ocean Vehicles
Prof. A.H. Techet Spring 2005
1. Gaussian Distribution
Distributions of random variables are often gaussian in shape, or can be approximated as such. The gau
13.42 Design Principles for Ocean Vehicles
Reading #
13.42 Design Principles for Ocean Vehicles
Prof. A.H. Techet Spring 2005
1. STATIONARY AND ERGODIC RANDOM PROCESSES
Given the random process y(z ,
13.42 Design Principles for Ocean Vehicles
Prof. A.H. Techet Spring 2005
1. Random Processes
A random variable, x( ) , can be defined from a Random event, , by assigning values xi to each possible out
13.42 Design Principles for Ocean Vehicles
Reading #
13.42 Design Principles for Ocean Vehicles
Prof. A.H. Techet Spring 2005
1. Random Variables
A random variable is a variable, x , whose value is as
13.42 Design Principles for Ocean Vehicles
Reading #
13.42 Design Principles for Ocean Vehicles
Prof. A.H. Techet Spring 2005
1. Overview of basic probability
Empirically, probability can be defined a
13.42 Design Principles for Ocean Vehicles
Reading #2
13.42 Design Principles for Ocean Vehicles
Prof. A.H. Techet Spring 2005
1. Fourier Series
Figure 1. Periodic Signal
Fourier series are very usefu
13.42 Design Principles for Ocean Vehicles
Reading #1
13.42 Design Principles for Ocean Vehicles
Prof. A.H. Techet Spring 2005
1. Dynamical Systems
Dynamical systems are representations of physical ob
13.42 Lecture: Vortex Induced Vibrations
Prof. A. H. Techet 21 April 2005
Offshore Platform
Courtesy of U.S. DOE.
Fixed Rigs
Tension Leg Platforms
Figures removed for copyright reasons.
Spar Platforms
13.42 Lecture: Ocean Waves Spring 2005
Alexandra H. Techet MIT Ocean Engineering
Ocean Waves
Photos removed for copyright reasons.
1
FIGURE 1. Wave energy spectra. Red text indicates wave generation m
13.42: Design Principles for Ocean Vehicles
Spring 2005: T/R 9:30-11:00 Prof. Alex Techet
Image of drilling platform removed for copyright reasons.
Design Principles for Ocean Vehicles
"Vehicles" Sur
13.42 Design Principles for Ocean Vehicles
Prof. A.H. Techet Spring 2005
Laboratory #1: Wave Spectra and ship response in waves
Date issued: 31 March 2005 Date Due: 14 April 2005 1.1 INTRODUCTION
Obje