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@PHDTHESIS{Meinert:986937,
author = {Meinert, Tobias},
othercontributors = {Schröder, Kai-Uwe and Mittelstedt, Christian},
title = {{O}ptimierung allgemein belasteter dünnwandiger {P}rofile},
volume = {2024,3},
school = {RWTH Aachen University},
type = {Dissertation},
address = {Düren},
publisher = {Shaker Verlag},
reportid = {RWTH-2024-05491},
isbn = {978-3-8440-9508-1},
series = {Aachener Berichte aus dem Leichtbau},
pages = {1 Online-Ressource : Illustrationen},
year = {2024},
note = {Druckausgabe: 2024. - Auch veröffentlicht auf dem
Publikationsserver der RWTH Aachen University; Dissertation,
RWTH Aachen University, 2024},
abstract = {Structural-mechanical components are usually designed via
iterative development processes. Initial estimates of
material, dimensions, and topology are provided in a
preliminary design, followed by iterative adaptations
leading to the final product. Unfortunately, due to a lack
of apriori information, the preliminary phases often rely on
inaccurately idealized geometries and loads, resulting in
poor estimations. A weight-optimized preliminary design has
the potential to eliminate several iteration steps, reducing
costs, resources, and design time. Achieving an efficiently
optimal design in the preliminary phase requires a deeper
understanding of correlations between idealized geometry and
acting loads. To address this issue, this work formulates
and verifies two hypotheses. The first posits that general
load scenarios can be simplified into basic load cases,
while the second suggests that optimally designed basic
geometries offer insights into the final complex shape.
Verification of these hypotheses is accomplished by making
use of a purposefully developed optimization algorithm based
on the structural index, allowing a problem generalization.
The algorithm employs a metaheuristic approach with an
evolutionary strategy, capable of handling diverse
geometries and load conditions. The optimization process
includes square profiles for basic and combined load cases,
as well as more intricate shapes like polygonal profiles.
While the results support both hypotheses, certain
restrictions are identified. For the first hypothesis, it is
demonstrated that compressive loads in combination with
either bending or torsional loads can be neglected, as long
as the structural index of the compressive load does not
exceed the structural index of the other load. In cases of
combined bending and torsional loads, the lower load can be
ignored if the ratio of structural indices does not exceed
1/10. The second hypothesis is verified with limitations.
Meaningful results are obtained for compressive and
torsional loads, specifically when the final component
should have a rectangular shape. In this scenario, the
weight-optimized square profile proves to be the optimal
solution. However, for more complex shapes, the circular
ring consistently emerges as the weight-optimal solution.
Analytical weight-optimised correlations are specified for
this. In the case of bending loads, no correlations can be
identified between the optimum complex profile shapes and
the weight-optimised square profile. For other complex
profiles that are subject to additional design restrictions
the weight-optimised profiles at least indicate how much
mass can be saved by further optimising these complex
profiles.},
cin = {415610},
ddc = {620},
cid = {$I:(DE-82)415610_20160301$},
typ = {PUB:(DE-HGF)11 / PUB:(DE-HGF)3},
doi = {10.18154/RWTH-2024-05491},
url = {https://publications.rwth-aachen.de/record/986937},
}
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