Analysis on band gap properties of periodic structures of bar system using the spectral element method. (English) Zbl 1378.74039
Summary: In this paper, the band gap properties of the periodic structures of bar system, which include the rod-joint, truss, and frame structures, are studied using spectral element method (SEM). The spectral equations of the rod, beam, and joint elements are established and the spectral equations of the whole structures are further assembled. The frequency responses of the whole structures are calculated and the results are compared with those calculated by the finite element method (FEM). It can be observed that the SEM is more accurate in high frequency ranges. The band gap properties of the three types of periodic structures are studied, respectively. Furthermore, the effects of structural length, unit cell number, structural configurations, load conditions, and structural damping on the band gap properties are investigated.
MSC:
| 74K10 | Rods (beams, columns, shafts, arches, rings, etc.) |
| 74J05 | Linear waves in solid mechanics |
| 35P05 | General topics in linear spectral theory for PDEs |
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