CONSTRUCTION OF SKEW RULED SURFACES BY MANIPULATING CONTROL LINES

Authors

  • Daniel Lordick TU Dresden

DOI:

https://doi.org/10.7251/STP2215011L

Abstract

When it comes to doubly curved surfaces in construction, especially shell structures, the skew ruled surfaces play a prominent role, because they are statically efficient and relatively easy to produce [1]. However, in order to fully exploit the design potential of this class of surfaces, conventional CAD programs do not provide adequate tools. From the priority program 1542 by the German Research Foundation (DFG) named Concrete light, an add-on is presented [2] that facilitates parametric design with ruled surfaces on the basis of line geometry and also enables a connection to finite element methods.

References

D. Lordick, D. Klawitter, M. Hagemann, "Liniengeometrie für den Leichtbau," in Leicht Bauen mit Beton. Forschung im Schwerpunktprogramm 1542, Förderphase 1. S. Scheerer,

M. Curbach, Ed. Dresden: Institut für Massivbau, Technische Universität Dresden, 2014, pp. 224-235.

H. Pottmann, J. Wallner, Computational Line Geometry. Heidelberg, Berlin etc.: Springer, 2001.

M. Hagemann, D. Klawitter, D, Lordick, "Force Driven Ruled Surfaces," in Journal for Geometry and Graphics (JGG), vol. 17, No. 2, pp. 193-204, 2013.

Daniel Lordick. "Add-on for Grasshopper in Rhinoceros 3D – LineGeometry". Internet: http://linegeometry.daniellordick.de, [May 2, 2022].

D. Lordick, "Intuitive Design and Meshing of Non-Developable Ruled Surfaces," in Proceedings of the Design Modelling Symposium Berlin, 2009, pp. 248-261.

J. P. Osman Letelier, A. Goldack, M. Schlaich, D. Lordick, J. Grave: "Shape optimization of concrete shells with ruled surface geometry using line geometry," in Proceedings of the IASS Annual Symposium 2017 »Interfaces: architecture.engineering.science«, 2017, Hamburg, Germany, 2017, Paper #9199 1-10 (published on a USB flash drive).

C. Ress, D. Lordick. "[Documentation of the] Summer School LGLS at the TU Dresden – long version". Internet: https://www.youtube.com/watch?v=6ZdpHvWthRI, [May 2, 2022].

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Published

2022-06-10

How to Cite

[1]
D. Lordick, “CONSTRUCTION OF SKEW RULED SURFACES BY MANIPULATING CONTROL LINES”, STEPGRAD, vol. 1, no. 15, pp. 011-020, Jun. 2022.
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