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    Structural Design Using Laplacian Shells

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    Date
    2019
    Author
    Ulu, Erva
    McCann, Jim
    Kara, Levent Burak
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    Abstract
    We introduce a method to design lightweight shell objects that are structurally robust under the external forces they may experience during use. Given an input 3D model and a general description of the external forces, our algorithm generates a structurally-sound minimum weight shell object. Our approach works by altering the local shell thickness repeatedly based on the stresses that develop inside the object. A key issue in shell design is that large thickness values might result in self-intersections on the inner boundary creating a significant computational challenge during optimization. To address this, we propose a shape parametrization based on the solution to the Laplace's equation that guarantees smooth and intersection-free shell boundaries. Combined with our gradient-free optimization algorithm, our method provides a practical solution to the structural design of hollow objects with a single inner cavity. We demonstrate our method on a variety of problems with arbitrary 3D models under complex force configurations and validate its performance with physical experiments.
    BibTeX
    @article {10.1111:cgf.13791,
    journal = {Computer Graphics Forum},
    title = {{Structural Design Using Laplacian Shells}},
    author = {Ulu, Erva and McCann, Jim and Kara, Levent Burak},
    year = {2019},
    publisher = {The Eurographics Association and John Wiley & Sons Ltd.},
    ISSN = {1467-8659},
    DOI = {10.1111/cgf.13791}
    }
    URI
    https://doi.org/10.1111/cgf.13791
    https://diglib.eg.org:443/handle/10.1111/cgf13791
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    Eurographics Association copyright © 2013 - 2023 
    Send Feedback | Contact - Imprint | Data Privacy Policy | Disable Google Analytics
    Theme by @mire NV
    System hosted at  Graz University of Technology.
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