Abstract：In order to improve the vibration reduction performance of hierarchical periodic beam, the vibration band-gap characteristics are optimized. The spectral element method (SEM) is used to calculate the frequency response curves of the periodic beam, the dispersion relation curves of the structure is calculated by the transfer matrix method and the two methods are combined to study the vibration band-gap characteristics of the structure. The band-gap ratio function is constructed as the optimization objective function, and the sizes of the unit-cell are used as the optimization parameters to optimize the band-gap characteristics. After optimization, the band-gap characteristics in the considered frequency ranges are greatly improved. Compared with the finite element method (FEM) and vibration experiment, the correctness of the calculation results of the SEM is verified. The research content provides a useful reference for improving the vibration band-gap characteristics of periodic structures and the application of vibration reduction.
2021, Vol. 42 
