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Force driven ruled surfaces. (English) Zbl 1288.53008
Summary: This paper presents a mathematical strategy for shaping ruled surfaces under the mission statement ‘Form Follows Force’. We motivate why we focus on the class of ruled surfaces, we show on which principles and preliminary work this paper is based on and how we exploit line geometry to directly compute optimized ruled surfaces in near real-time. Our aim is to provide a form finding tool for lightweight structures in a common design environment.

53A25 Differential line geometry
51M30 Line geometries and their generalizations
70G65 Symmetries, Lie group and Lie algebra methods for problems in mechanics
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