Abstract
This paper introduces a new method for variable-topology shape
optimization of elastic structures called the perimeter method. An
upper-bound constraint on the perimeter of the solid part of the
structure ensures a well-posed design problem. The perimeter
constraint allows the designer to control the number of holes in
the optimal design and to establish their characteristic length
scale. Finite element procedures based on this approach generate
practical designs that are convergent with respect to grid
refinement. Thus, an arbitrary level of geometric resolution can
be achieved, so single-step procedures for topology design and
detailed shape design are possible. The perimeter method
eliminates the need for relaxation, thereby circumventing the
complexities and restrictions of the homogenization approach to
topology design. The new method is suitable for implementation
with existing finite element analysis and optimization software
systems.
Original language | English |
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Journal | Structural optimization (Print) |
Volume | 11 |
Pages (from-to) | 1-12 |
ISSN | 0934-4373 |
Publication status | Published - 1996 |