کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
509638 | 865645 | 2015 | 9 صفحه PDF | دانلود رایگان |
• A novel form-finding approach to construct minimal surface from a given boundary by quasi-harmonic Bézier approximation.
• Quasi-harmonic mask method to generate approximate minimal surfaces by solving a sparse linear system.
• A framework to construct multi-patch quasi-harmonic Bézier approximation from N-sided boundary curves.
Numerical approximation of minimal surface is an important problem in form-finding of structural membranes. In this paper, we present a novel approach to construct minimal surface from a given boundary by quasi-harmonic Bézier approximation. A new energy functional called quasi-harmonic energy functional is proposed as the objective function to obtain the quasi-harmonic Bézier surface from given boundaries. The quasi-harmonic mask is also proposed to generate approximate minimal surfaces by solving a sparse linear system. We propose a framework to construct multi-patch quasi-harmonic Bézier approximation from N-sided boundary curves. The efficiency of the proposed methods is illustrated by several modeling examples.
Journal: Computers & Structures - Volume 161, December 2015, Pages 55–63