Wave attenuation of a multi-span continuous beam with variable cross sections

This paper studies the vibration band-gaps of a non-uniform beam with periodically continuous variable cross sections and hinged supports. The governing equation of the beam is obtained by using spectral element method. The frequency responses of the beam under external excitation are shown. The accuracy and efficiency of the spectral element method are validated. The advantages of the proposed beam are discussed. The influences of the structural and material parameters on the band-gap properties are explored, such as the height curve, the disordered vibration absorbers, and the material attributes. The coupling effects of the local resonance band-gaps and the Bragg scattering band-gaps are explored and can be used to design the band-gap structure. The displacement amplitudes of the beam for different excitation frequencies are shown.

Automated summary

This paper investigates the vibration band-gaps of a non-uniform beam with periodically continuous variable cross sections and hinged supports. The governing equation of the beam is obtained using the spectral element method, and the frequency responses under external excitation are presented. The accuracy and efficiency of the spectral element method are validated, and the advantages of the proposed beam are discussed. The effects of structural and material parameters on the band-gap properties, such as the height curve, the disordered vibration absorbers, and the material attributes, are explored. Additionally, the coupling effects of the local resonance band-gaps and the Bragg scattering band-gaps are investigated for potential use in band-gap structure design.