Free-form Optimization Of
Thin-walled Structures For Achieving
A Desired Deformed Shape
Author(s)
M. Shimoda
Abstract
Thin-walled structures such as shells and folded plates are extensively used in
various industrial products. In this paper, a free-form optimization method is
presented that is aimed at giving a function to thin-walled structures. As a
concrete target, a method to achieve a desired deformation, or to control a static
deformed shape to a desired one, is proposed for the design of linear elastic shell
structures. As an objective functional, we introduce a squared error norm of a
deformed shape on its prescribed surface. It is assumed that the shell is varied in
the normal direction to the surface and that the thickness is constant. A
distributed-parameter shape optimization problem is formulated, and the shape
gradient function for this problem is theoretically derived. The non-parametric
free-form optimization method for shells, which was developed by the author, is
applied to solve this problem. With this method, an optimal arbitrarily formed
shell with smoothness can be obtained while minimizing the objective
functional. The calculated results show the effectiveness of the proposed method
for the optimal free-form design of thin-walled structures with a desired
deformed shape.
Keywords: optimum design, shape optimization, shell, shape identification,
inverse problem, deformation control, traction method.
1 Introduction
Thin-walled or shell structures have high load-carrying capacity in spite of their
thinness and lightness. A smart and simple thin-walled structure may be created
by adding a function to them without using any actuators. As such a function, a
Keywords
optimum design, shape optimization, shell, shape identification,
inverse problem, deformation control, traction method.
Related Book
Other papers in this volume
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