# Team 4: High dimensional, nonlinear, non-convex optimization problems in the area of aircraft and vehicle design

Wednesday, August 8, 2007 - 11:00am - 11:20am

EE/CS 3-180

John Hoffman (Lockheed Martin)

Presently, when a physics motivated vehicle designer explores

vehicle

designs for a new concept, he is often faced with an enormous

range of

choices and constraints. For an example, an aircraft designer

has

Aircraft shape, fuel type, and engine as his main free

variables. While

his main constraints are dictated by the laws of physics

(weight, size,

power, lift, and stall). Additionally, he has his objective

which is

typically some combination/subset of acceleration,

maneuverability,

range, endurance, payload capacity (size, weight and power),

max and min

speeds, manufacturing cost, maintainability, reliability,

development

cost, takeoff length, landing length, noise footprint and other

items.

vehicle

designs for a new concept, he is often faced with an enormous

range of

choices and constraints. For an example, an aircraft designer

has

Aircraft shape, fuel type, and engine as his main free

variables. While

his main constraints are dictated by the laws of physics

(weight, size,

power, lift, and stall). Additionally, he has his objective

which is

typically some combination/subset of acceleration,

maneuverability,

range, endurance, payload capacity (size, weight and power),

max and min

speeds, manufacturing cost, maintainability, reliability,

development

cost, takeoff length, landing length, noise footprint and other

items.

I am interested in examining the following problem: Given a

set of

performance objectives, how does one determine the space of

designs

available to the designer and find the optimal designs? How

does the

designer best visualize this space of options? Because he

doesn't want

just the answer, he wants to understand many aspects of the

answer.

While I'm interested in the general vehicle design problem, we

will

focus on aircraft design using a baseline tool that is to be

determined

as a concrete example with which we can test our ideas.