On the Equilibrium of Simplicial Masonry Structures

被引：60

作者：

de Goes, Fernando ^{[1
]}

Alliez, Pierre ^{[2
]}

Owhadi, Houman ^{[1
]}

Desbrun, Mathieu ^{[1
]}

机构：

[1] CALTECH, Pasadena, CA 91125 USA

[2] INRIA, Paris, France

来源：

ACM TRANSACTIONS ON GRAPHICS | 2013年 / 32卷 / 04期

基金：

美国国家科学基金会;

关键词：

architectural geometry; discrete differential geometry; geometry processing; orthogonal reciprocal diagram;

D O I：

10.1145/2461912.2461932

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

We present a novel approach for the analysis and design of self-supporting simplicial masonry structures. A finite-dimensional formulation of their compressive stress field is derived, offering a new interpretation of thrust networks through numerical homogenization theory. We further leverage geometric properties of the resulting force diagram to identify a set of reduced coordinates characterizing the equilibrium of simplicial masonry. We finally derive computational form-finding tools that improve over previous work in efficiency, accuracy, and scalability.

引用

页数：10

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