Exact solution of 3D Timoshenko beam problem using linked interpolation of arbitrary order (CROSBI ID 153173)
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Jelenić, Gordan ; Papa, Edita
engleski
Exact solution of 3D Timoshenko beam problem using linked interpolation of arbitrary order
For arbitrary polynomial loading and a sufficient number of nodal points N, the the solution for the 3D Timoshenko beam differential equations is polynomial and may be provided by independent interpolation for the rotation field and the position field with the Lagrangian polynomials of order N-1 and N, respectively. It has been demonstrated in this work that the exact solution for the position field may be also written in a number of alternative ways involving contributions of the nodal rotations.
linked interpolation; Timoshenko beam; higher-order interpolation
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