Structural parts as quadrics -- elasticity ellipses revisited

Tamás Baranyai

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arXiv · 2010.00938

Structural parts as quadrics -- elasticity ellipses revisited

Tamás Baranyai

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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.

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Tamás Baranyai. 2020-09-30. Structural parts as quadrics -- elasticity ellipses revisited. https://arxiv.org/abs/2010.00938

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