Efficient isogeometric formulation for vibration analysis of complex spatial beam structures. (English) Zbl 1406.74334
Summary: Efficient isogeometric curved beam element is formulated to investigate the free vibration behavior of spatial beam structures with arbitrary curvature and torsion. Beam structures are described by multi-patch non-uniform rational B-splines. Isogeometric formulation with Timoshenko beam theory is applied with global formulation. Compared with prior formulations that use local formulation within a single patch, the present global formulation of stiffness and mass matrices for multi patch structures is effective in dealing with complex structures. Numerical tests are carried out on a series of models including a conceptual framework of an automobile to show the effectiveness of the present method.
MSC:
| 74H45 | Vibrations in dynamical problems in solid mechanics |
| 65D07 | Numerical computation using splines |
| 65N30 | Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs |
| 74K10 | Rods (beams, columns, shafts, arches, rings, etc.) |
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