Band Gaps Characteristics Analysis of Periodic Oscillator Coupled Damping Beam

Abstract

The vibration of the periodic oscillator coupled damping beam model is reduced through the band gaps designing method, which can be applied in equivalent engineering structures. In this paper, the flexural wave dispersion relations of the infinite long periodic oscillator coupled damping beam were calculated using the reverberation-ray matrix method combined with the Bloch theorem. The flexural wave vibration frequency response function of the finite long periodic oscillator coupled damping beam was carried out using the finite element method. The flexural wave vibration band gaps occur in the infinite long periodic oscillator coupled damping beam model in both the analytical and numerical results. In these band gaps, flexural waves’ propagation is prohibited, and flexural vibration is significantly suppressed. Furthermore, the effects of structure and material parameters on the flexural wave vibration band gaps characteristics are studied. Thus, the structural vibration reduction design can be realized by adjusting the related parameters of the periodic coupled damping beam structures and the equivalent 2D periodic stiffened plate structures.

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“…In the past few decades, periodic structures have been widely used in the fields of mechanical engineering, aerospace engineering, vehicle engineering, and engineering construction (Tang et al, 2020; Montaseri and Mallahzadeh, 2021). Due to special geometric shapes and material properties, periodic structures have various specific physical properties, especially band gap characteristics where elastic wave propagation in the band gap frequency range is suppressed.…”

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“…[3][4][5][6][7]. At present, some researchers have introduced PCs into civil engineering to control vibration [8][9][10][11][12], especially in beams [13][14][15][16][17][18][19][20][21][22].…”