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, steady flow we know that the force on any body is zero (D
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 a vessel in heave it is natural to extend this discuss
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 superposition of the incident, diffraction, and radiation pot
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 large compared to the wave amplitude and thus the inertial
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 generation mechanisms and blue text indicates damping/resto
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 gaussian density function is described by the probability
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 , t) we assume that the expected value of the random proc
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 outcome, Ai , of the event. Next define a Random Process,
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 assigned through a rule and a random experiment, , that a
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 as the number of favorable outcomes divided by the total
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 useful in analyzing complex systems with periodic inputs as
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 objects or behaviors such that the output of the system d
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
Figures removed for copyright reasons.
Genesis Spar Pl
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 mechanisms and blue text indicates damping/restoring for
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" Surface ships, underwater vehicles, and offshore platforms
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
Objectives: The object of this lab is to measure the respon