The analysis of three dimensional frames is quite similar to the analysis of 2D frames. In the 2-node 3D frame finite element we now consider in each node three displacements and three rotations with respect to the three global cartesian axes. However, the complexity in such structures is due to the orientation of the beam in space other than in 2D plane. Before introducing the stiffness and mass matrices in the global reference system rotation matrices for vectors in 3D space are firstly introduced.
Ferreira A.J.M., Fantuzzi N. (2020). Bernoulli 3D frames. Cham : Springer [10.1007/978-3-030-47952-7_8].
Bernoulli 3D frames
Fantuzzi N.
2020
Abstract
The analysis of three dimensional frames is quite similar to the analysis of 2D frames. In the 2-node 3D frame finite element we now consider in each node three displacements and three rotations with respect to the three global cartesian axes. However, the complexity in such structures is due to the orientation of the beam in space other than in 2D plane. Before introducing the stiffness and mass matrices in the global reference system rotation matrices for vectors in 3D space are firstly introduced.File in questo prodotto:
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