'GAUSS' THEOREMA EGREGIUM FOR TRIANGULATED SURFACES
  • Metaadatok
Tartalom: https://pp.bme.hu/ci/article/view/3849
Archívum: PP Civil Engineering
Gyűjtemény: Research Article
Cím:
'GAUSS' THEOREMA EGREGIUM FOR TRIANGULATED SURFACES
Létrehozó:
Hegedűs , I.
Kiadó:
Budapest University of Technology and Economics
Dátum:
1992-01-01
Téma:
triangulated surfaces; polyhedra of triangle facets; single-layer space grids; extrinsic and intrinsic measures of surfaces; Gaussian curvature; inextensional deformations. static-kinematic analogies.
Tartalmi leírás:
The paper deals with fundamental geometric assumptions of the static-kinematic analysis of triangulated surfaces. First. intrinsic and extrinsic properties of triangulated surfaces as analogues of those of smooth surfaces are introduced, then static-kinematic analogies between triangulated surfaces and pin-jointed single-layer space grids are dealt with. It is shown that Gaussian curvature of smooth surfaces cannot be interpreted for triangulated surfaces. and space grids. however, statements of Gauss' Theorema Egregium can be replaced for statements concerning simple and useful connections between their intrinsic and extrinsic measures.
Nyelv:
angol
Típus:
info:eu-repo/semantics/article
Peer-reviewed Article
info:eu-repo/semantics/publishedVersion
Formátum:
application/pdf
Azonosító:
N/A
Forrás:
Periodica Polytechnica Civil Engineering; Vol. 36, No. 3 (1992); 291-307
Kapcsolat:
Létrehozó:
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