Geometrically nonlinear design of compliant mechanisms: Topology and shape optimization with stress and curvature constraints

Stankiewicz G, Dev C, Steinmann P (2022)

Publication Type: Journal article

Publication year: 2022

Journal

Computer Methods in Applied Mechanics and Engineering Elsevier

Book Volume: 397

DOI: 10.1016/j.cma.2022.115161

Abstract

In this work, we exploit a sequential topology and shape optimization framework to design compliant mechanisms. We pay particular attention to a refined and exact design of flexure hinges via shape optimization in a geometrically nonlinear setting. We propose improved adaptive shape and domain refinement strategies for the embedding domain discretization method (EDD) to achieve numerically and geometrically accurate designs of the flexure hinges. Furthermore, to account for durability and manufacturability of the flexure hinges, we employed local stress constraints and a curvature constraint. The local stress constraints are integrated into an augmented Lagrange functional together with the output displacement to form a combined objective response. The design update is realized by employing and adapting the traction method for the specifics of the embedded boundary. Hence, the curvature constraint does not appear in a standard response form, but is rather introduced into the auxiliary boundary value problem (BVP) of the traction method via a penalty functional. The novelties of this work include: (1) enhanced adaptive shape and domain refinement strategies for EDD; (2) geometrically nonlinear shape optimization using EDD; (3) adapted traction method with curvature constraint.(c) 2022 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).

Authors with CRIS profile

Gabriel Stankiewicz Lehrstuhl für Technische Mechanik Chaitanya Dev Lehrstuhl für Technische Mechanik Paul Steinmann Lehrstuhl für Technische Mechanik

Additional Organisation(s)

Graduiertenkolleg 2495/2 Energiekonvertierungssysteme: von Materialien zu Bauteilen (Energy Conversion Systems: From Materials to Devices)

How to cite

APA:

Stankiewicz, G., Dev, C., & Steinmann, P. (2022). Geometrically nonlinear design of compliant mechanisms: Topology and shape optimization with stress and curvature constraints. Computer Methods in Applied Mechanics and Engineering, 397. https://doi.org/10.1016/j.cma.2022.115161

MLA:

Stankiewicz, Gabriel, Chaitanya Dev, and Paul Steinmann. "Geometrically nonlinear design of compliant mechanisms: Topology and shape optimization with stress and curvature constraints." Computer Methods in Applied Mechanics and Engineering 397 (2022).

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