research-article

Reinforcement of General Shell Structures

Authors:

Francisca Gil-Ureta,

Denis ZorinAuthors Info & Claims

ACM Transactions on Graphics (TOG), Volume 39, Issue 5

Article No.: 153, Pages 1 - 19

https://doi.org/10.1145/3375677

Published: 09 June 2020 Publication History

Abstract

We introduce an efficient method for designing shell reinforcements of minimal weight. Inspired by classical Michell trusses, we create a reinforcement layout whose members are aligned with optimal stress directions, then optimize their shape minimizing the volume while keeping stresses bounded.

We exploit two predominant techniques for reinforcing shells: adding ribs aligned with stress directions and using thicker walls on regions of high stress. Most previous work can generate either only ribs or only variable-thickness walls. However, in the general case, neither approach by itself will provide optimal solutions.

By using a more precise volume model, our method is capable of producing optimized structures with the full range of qualitative behaviors: from ribs to walls and smoothly transitioning in between. Our method includes new algorithms for determining the layout of reinforcement structure elements, and an efficient algorithm to optimize their shape, minimizing a non-linear non-convex functional at a fraction of the cost and with better optimality compared to standard solvers.

We demonstrate the optimization results for a variety of shapes and the improvements it yields in the strength of 3D-printed objects.

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Reinforcement of General Shell Structures

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Published In

cover image ACM Transactions on Graphics

ACM Transactions on Graphics Volume 39, Issue 5

October 2020

184 pages

ISSN:0730-0301

EISSN:1557-7368

DOI:10.1145/3403637

Editor:
Marc Alexa
TU Berlin, Germany

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Copyright © 2020 ACM.

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Publication History

Published: 09 June 2020

Online AM: 07 May 2020

Accepted: 01 March 2020

Revised: 01 February 2020

Received: 01 July 2019

Published in TOG Volume 39, Issue 5

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https://doi.org/10.1016/j.tws.2024.111566
Liu GHuang WWang YRen HZhang GZhou LXiong Y(2024)Stress field-aware infill toolpath generation for additive manufacturing of continuous fiber reinforced polymer compositesMaterials & Design10.1016/j.matdes.2024.112756(112756)Online publication date: Feb-2024
https://doi.org/10.1016/j.matdes.2024.112756
Laccone FMenicagli SCignoni PMalomo L(2024)Computational design of segmented concrete shells made of post-tensioned precast flat tilesStructures10.1016/j.istruc.2024.10615662(106156)Online publication date: Apr-2024
https://doi.org/10.1016/j.istruc.2024.106156
Laccone FPietroni NCignoni PMalomo L(2024)Bending-Reinforced Grid Shells for Free-form Architectural SurfacesComputer-Aided Design10.1016/j.cad.2023.103670168:COnline publication date: 1-Mar-2024
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