6 citations · 14 across the 9 of their papers we have counts for
10 papers
Projective Elasticity
Tamás Baranyai
We present the foundations of a projective geometric theory of elasticity, as well as outline a few possible application possibilities. We give the description of the Cauchy stress…
The force as a function: Towards analytical graphic statics for spatial structures
Tamás Baranyai
One of the most influential early works in graphic statics is one of Maxwell, where he introduced the idea of a discontinuous stress function and the use of a 3D projective polarit…
Structural parts as quadrics -- elasticity ellipses revisited
Tamás Baranyai
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…
On transformations and graphic methods of algebraically 3 dimensional force, velocity and displacement systems
Tamás Baranyai
In engineering practice one often encounters planar problems, where the corresponding vector space of forces, velocities or (infinitesimal) displacements is three dimensional. This…
Analytical graphic statics
Tamás Baranyai
Graphic statics is undergoing a renaissance, with computerized visual representation becoming both easier and more spectacular as time passes. While methods of the past are revived…
Beyond polarities: Generalizing Maxwell's reciprocal diagrams
Tamás Baranyai
A pair of ovservations on the role of projective geometrical dualities in graphic statics.
On the duality of space-trusses and plate structures of rigid plates and elastic edges
Tamás Baranyai
Dualities have been known to map space trusses and plate structures to each other since the 1980-s. Yet the computational similarity of the two has not been used to solve the unfam…
Imperfections, impacts, and the singularity of Euler's disk
Tamás Baranyai, Péter L. Várkonyi
The motion of a rigid, spinning disk on a flat surface ends with a dissipation-induced finite-time singularity. The problem of finding the dominant energy absorption mechanism duri…
Zeno chattering of rigid bodies with multiple point contacts
Tamás Baranyai, Péter L. Várkonyi
Ideally rigid objects establish sustained contact with one another via complete chatter (a.k.a. Zeno behavior), i.e. an infinite sequence of collisions accumulating in finite time.…
Partial reconstruction of the rotational motion of Philae spacecraft during its landing on comet 67P/Churyumov-Gerasimenko
Tamás Baranyai, András Balázs, Péter L. Várkonyi
This paper presents a partial reconstruction of the rotational dynamics of the Philae spacecraft upon landing on comet 67P/Churyumov-Gerasimenko as part of ESA's Rosetta mission. W…