Structural parts as quadrics: Elasticity ellipses revisited. Issue 4 (December 2022)

• Record Type: Journal Article
• Authors: Baranyai, Tamás
• Is Part Of: International journal of space structures. Volume 37:Issue 4(2022)
• Page Start: 213
• Page End: 226
• Publication Date: 2022-12
• Subjects: Euler-Bernoulli beam -- elasticity ellipse -- quadric surface -- projective transformations; Space frame structures -- Periodicals; Space (Architecture) -- Periodicals; Space (Architecture); Space frame structures; Periodicals; 624.177
• DOI: 10.1177/09560599221081013
• Languages: English
• ISSNs: 0956-0599

Abstract

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.