Truss structure design using a length-oriented surface remeshing technique

Karol  Mikula; Mariana  Remešíková; Peter  Novysedlák

doi:10.3934/dcdss.2015.8.933

Article Contents

2015, Volume 8, Issue 5: 933-951. Doi: 10.3934/dcdss.2015.8.933

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Truss structure design using a length-oriented surface remeshing technique

1.
Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology, Radlinského 11, 81368 Bratislava
2.
Hutnícka 10/51, 05201 Spišská Nová Ves

Received: December 2013

Revised: June 2014

Published: October 2015

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Abstract

We present a method that can be used for designing truss structures representing either minimal surface shapes or general free-form shapes. The structures are designed so that they meet some specific criteria concerning their aesthetic properties and especially the lengths of the truss elements. We explain a technique for tangential redistribution of points on evolving surfaces that allows to obtain equally sized truss elements in selected subsets of the structure. This technique is applied to surfaces evolving by their mean curvature yielding constructions that approximate minimal surface shapes. Afterwards, we show how to remesh static free-form surfaces.

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Mathematics Subject Classification: Primary: 65M08, 65M50; Secondary: 53A05.

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