文档介绍：Integrated Modeling, Finite-Element Analysis,
and Engineering Design for Thin-Shell
Structures using Subdivision
Fehmi Cirak, Michael J. Scott, Erik K. Antonsson,
Michael Ortiz and Peter Schr¨oder
Division of Engineering and Applied Science, California Institute of Technology,
Pasadena, CA 91125, .
Abstract
Many engineering design applications require geometric modeling and mechanical
simulation of thin flexible structures, such as those found in the automotive and
aerospace industries. Traditionally, geometric modeling, mechanical simulation, and
engineering design are treated as separate modules requiring different methods and
representations. Due to the patibility of the involved representations the tran-
sition from geometric modeling to mechanical simulation, as well as in the opposite
direction, requires substantial effort. However, for engineering design purposes effi-
cient transition between geometric modeling and mechanical simulation is essential.
We propose the use of subdivision surfaces as mon foundation for modeling,
simulation, and design in a unified framework. Subdivision surfaces provide a flex-
ible and efficient tool for arbitrary topology free-form surface modeling, avoiding
many of the problems inherent in traditional spline patch based approaches. The
underlying basis functions are also ideally suited for a finite-element treatment of
the so-called thin shell equations, which describe the mechanical behavior of the
modeled structures. The resulting solvers are highly scalable, providing an efficient
computational foundation for design exploration and optimization. We demonstrate
our claims with several design examples, showing the versatility and high accuracy
of the proposed method.
Key words: Subdivision Surfaces; Finite-Elements; Shells;
1 Introduction
Current engineering design practice in industryemploysa sequence of tools
which are generallynot well matched to each other. For example, the output
of puter aid