周期弹簧振子结构的局域共振带隙和布拉格带隙特征研究

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。

Study on Locally Resonance and Bragg Band Gap Characteristics ofPeriodic Mass Spring Structure

Peirodic mass spring structure whose periodic element is composed of one mass spring structure and multi oscillators is designed, and both LR band gap in low frequency domain and Bragg band gap in high frequency domain are achieved in the structure. Firstly, dynamic model of the periodic structure is established to derive the control equations of wave propagation in the structure. Then, effects of the structural parameters on the boundary frequencies of the band gap are discussed in detail. Finally, vibration reduction performances of the periodic structure are analyzed.