Title
Parametric design of aircraft geometry using partial differential equations
Abstract
This paper presents a surface generation tool designed for the construction of aircraft geometry. The software generates complex geometries which can be crafted or modified by the user in real time. The surface generation is based on partial differential equations (PDEs). The PDE method can produce different configurations of aircraft shapes interactively. Each surface is generated by a number of curves representing the character lines of a given part of the aircraft shape that can be manipulated in real time. Different surfaces then blend to create the full shape of the airplane. An important function of the proposed tool is its ability to change the aircraft shape through the adjustments of parameters associated with the initial curves. The user can apply linear transformations to the curves generating the airplane through simple input from the computer keyboard and the mouse. The updated curves can then be used to generate the surface leading to different configurations of a given airplane shape. The work presents detailed descriptions on the PDE method, parametric design and manipulation of aircrafts along with graphical demonstrations of its abilities and a series of examples to illustrate the capacity of the methodology implemented.
Year
DOI
Venue
2009
10.1016/j.advengsoft.2008.08.001
Advances in Engineering Software
Keywords
Field
DocType
pde surfaces,different configuration,parametric design,different surface,aircraft shape,partial differential equation,pde method,aircraft design,real time,aircraft design parametric design pde surfaces,airplane shape,full shape,surface generation tool,aircraft geometry,surface generation,linear transformation
Mathematical optimization,Computer science,Algorithm,Airplane,Software,PDE surface,Linear map,Parametric design,Geometry,Partial differential equation
Journal
Volume
Issue
ISSN
40
7
Advances in Engineering Software
Citations 
PageRank 
References 
4
0.91
3
Authors
3
Name
Order
Citations
PageRank
Michael Athanasopoulos1154.56
Hassan Ugail224636.26
Gabriela González Castro3194.00