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## Linked Interpolation of Arbitrary Order in Static Linear Analysis of 3D Thick Beam Elements

Jelenić, Gordan; Papa, Edita
Linked Interpolation of Arbitrary Order in Static Linear Analysis of 3D Thick Beam Elements, 2009. (tehnički izvještaj).

Naslov
Linked Interpolation of Arbitrary Order in Static Linear Analysis of 3D Thick Beam Elements

Autori
Jelenić, Gordan ; Papa, Edita

Izvornik
Građevinski fakultet Sveučilišta u Rijeci

Vrsta, podvrsta

Godina
2009

Ključne riječi
Linked interpolation; thick beams; problem-dependent and problem-independent interpolation

Sažetak
Linked interpolation functions for straight 3D Timoshenko beam elements, which provide exact solution for a general static loading, are derived in this work by solving the differential equation for the problem and expressing the solution in terms of the nodal values for the positions and rotations. If only the boundaries of the beam element are taken as the nodal points, the resulting interpolation becomes dependent on the geometric, material and loading parameters of the problem. On the other hand, for arbitrary polynomial loading and a sufficient number of nodal points N, the exact solution may also be provided by independent interpolation for the rotation field and the position field with the Lagrangian polynomials of order N-1 and N, respectively.

Izvorni jezik
Engleski

Znanstvena područja
Temeljne tehničke znanosti

Projekt / tema
114-0000000-3025 - Unapređenje točnosti nelinearnih grednih elemenata s neograničenim 3D rotacijama (Gordan Jelenić, )

Ustanove
Građevinski fakultet, Rijeka

#### Citiraj ovu publikaciju

Jelenić, Gordan; Papa, Edita
Linked Interpolation of Arbitrary Order in Static Linear Analysis of 3D Thick Beam Elements, 2009. (tehnički izvještaj).
Jelenić, G. & Papa, E. (2009) Linked Interpolation of Arbitrary Order in Static Linear Analysis of 3D Thick Beam Elements. Građevinski fakultet Sveučilišta u Rijeci. Tehnički izvještaj.
@unknown{unknown, year = {2009}, keywords = {linked interpolation, thick beams, problem-dependent and problem-independent interpolation}, title = {Linked Interpolation of Arbitrary Order in Static Linear Analysis of 3D Thick Beam Elements}, keyword = {linked interpolation, thick beams, problem-dependent and problem-independent interpolation} }