- to simulate iceboat performance, one must develop a mathematical model of the forces on the boat
- introduction to math model
- forces simplified
- steady state
- solution methods
- dynamic operations
- to solve the steady state speed of the boat one must
- assume a certain course (ie. boat angle direction to the real wind)
- assume a certain speed on that course
- compute the forward and rearward forces on the boat at that speed
- if net force is positive, the iceboat speeds up (accelerates)
- if net force is negative the iceboat slows down (decelerates)
- it is desired to find boat speed at which the net force is zero
- method #1 simulate time
- pick a small delta time increment (ie. 0.1 seconds)
- from the net force and weight of the boat predict the speed of the boat after .1 seconds
- recalculate net force
- repeat this procedure until the sign of force changes direction
- depending on the accuracy desired you could change the delta time increment to .005 seconds and repeat everything again
- golden rectangle search
initial variables
- enter constants that affect design
- set a boat angle
- set the boat speed
adjust boat speed on boat angle so that
- if boat begins to hike
- ease on boom so hike is just eliminated
- forward and rearward forces net to zero
- use trigonometry to calculate components of forces
- Java programming language computes values of steady state forces
- employ various algorithms to
