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设计一种周期单元由一个弹簧振子与多个吸振器并联而成的周期弹簧振子结构,该结构可以同时实现低频段的局域共振(LR)带隙和高频段的Bragg带隙。建立周期弹簧振子结构的动力学模型,推导波在周期单元中传播的特征方程,详细分析结构参数对振动带隙边界频率的影响,研究周期结构的振动衰减性能。研究结果表明,周期弹簧振子在低频和高频均具有振动带隙特征,可以应用于结构的减振设计。
A periodic spring oscillator structure is proposed in which a periodic element consists of a spring oscillator in parallel with a plurality of vibration absorbers. The structure can simultaneously implement a low-band local resonance (LR) band gap and a high-band Bragg band gap. The dynamic model of the periodic spring oscillator structure is established. The characteristic equation of the wave propagating in the periodic element is deduced. The influence of the structural parameters on the band gap frequency is analyzed in detail, and the vibration attenuation performance of the periodic structure is studied. The results show that the periodic spring oscillator has the characteristic of vibration band gap at both low frequency and high frequency, which can be applied to the design of the structure.