论文标题

结构性零件作为四边形 - 重新审视弹性椭圆

Structural parts as quadrics -- elasticity ellipses revisited

论文作者

Baranyai, Tamás

论文摘要

弹性椭圆或中央椭圆已长期用于图形静态,以捕获结构元素的弹性行为。本文在维度和堕落的圆锥 /四边形的可能性上都概述了一个概念。还给出了这些四边形的投射变换的效果,以便可以改变整个机械系统,以保持其元素之间的平衡和兼容性。

Elasticity ellipses or central ellipses have been long used in graphic statics to capture the elastic behaviour of structural elements. The paper gives a generalisation the concept both in dimensions and in the possibility of degenerate conics / quadrics. The effect of projective transformations of these quadrics is also given, such that the entire mechanical system can be transformed preserving equilibrium and compatibility between its elements.

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