声子晶体导线的振动带隙特性

为了解决超、特高压输电线路的舞动问题,提出了一种由导线、间隔棒、弹簧振子组成的声子晶体导线。基于导线的振动微分方程与Bloch理论,建立了计算声子晶体导线振动能带结构的传递矩阵法,进而通过计算发现声子晶体导线在舞动常发的频率范围内具有局域共振型带隙特性。为了验证该带隙特性,以四分裂导线为例,应用有限元法计算了有限周期声子晶体导线的振幅和频率响应特性。结果表明,在带隙的频率范围内导线振动响应具有明显衰减,为输电线路减振防舞提供一种新思路。

Vibration band gap characteristics of phononic crystal conductor

In order to solve the problem of conductor galloping on ultra-high-voltage transmission lines, a kind of phononic crystal conductor which consists of a conductor, spacers, and spring oscillators is proposed. Based on the vibration differential equation of the conductor and Bloch theory, the transfer matrix method is established to calculate the vibration band structure of the phononic crystal conductor. The calculated results show that the phononic crystal conductor exhibits local resonance band gap characteristics in the frequency range of conductor galloping. In order to verify the band gap characteristics of the phononic crystals conductor, using a four-divided conductor as an example, the finite element method is employed to calculate the amplitude and frequency responses of the finite periodic phononic crystal conductor. The results show that remarkable vibration attenuation of the conductor occurs in the frequency range of band gaps, which may provide a new idea for vibration control of conductor galloping on transmission lines.