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On topology optimization of design-dependent pressure-loaded three-dimensional structures and compliant mechanisms

Kumar, P and Langelaar, M (2021) On topology optimization of design-dependent pressure-loaded three-dimensional structures and compliant mechanisms. In: International Journal for Numerical Methods in Engineering, 122 (17). p. 4787.

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Official URL: https://doi.org/10.1002/nme.6618

Abstract

This article presents a density-based topology optimization method for designing three-dimensional (3D) compliant mechanisms (CMs) and loadbearing structures with design-dependent pressure loading. Instead of interface-tracking techniques, the Darcy law in conjunction with a drainage term is employed to obtain pressure field as a function of the design vector. To ensure continuous transition of pressure loads as the design evolves, the flow coefficient of a finite element (FE) is defined using a smooth Heaviside function. The obtained pressure field is converted into consistent nodal loads using a transformation matrix. The presented approach employs the standard FE formulation and also, allows consistent and computationally inexpensive calculation of load sensitivities using the adjoint-variable method. For CM designs, a multicriteria objective is minimized, whereas minimization of compliance is performed for designing loadbearing structures. Efficacy and robustness of the presented approach is demonstrated by designing various pressure-actuated 3D CMs and structures. © 2021 John Wiley & Sons, Ltd.

Item Type: Journal Article
Publication: International Journal for Numerical Methods in Engineering
Publisher: John Wiley and Sons Ltd
Additional Information: The copyright for this article belongs to the Authors.
Keywords: Darcy law; design-dependent pressure loading; three-dimensional compliant mechanisms; three-dimensional structures; topology optimization
Department/Centre: Division of Mechanical Sciences > Mechanical Engineering
Date Deposited: 04 May 2023 08:48
Last Modified: 04 May 2023 09:02
URI: https://eprints.iisc.ac.in/id/eprint/81643

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