Abstract

In this paper, flexural wave in a steel-concrete composite beam with periodically surface-bonded cement-based piezoelectric patches (CPP) is studied. The composite beam is designed using the idea of the phononic crystals. The external capacitor shunt circuit is connected to the CPP for regulating the band gap of the composite beam. The flexural wave equations are established by Euler beam theory. Using plane wave expansion method and transfer matrix method, the complex band structures of the flexural wave are calculated to investigate the frequency range and the vibration reduction in band gap. From the numerical results, it is shown that by tuning the external capacitor shunt circuit, the band gap of the periodic structure can be regulated conveniently. The regulation capability of the negative capacitance shunt circuit is stronger than that of the positive capacitance. We can obtain different starting low-frequency and wide band gaps by using negative capacitance. The proposed approach gives a promising way to design intelligent beams whose band gaps can be tuned without modifying the structures.

摘要

在本文中，研究了具有周期性表面粘合水泥基压电贴片（CPP）的钢-混凝土组合梁中的弯曲波。复合梁是利用声子晶体的思想设计的。外部电容分流电路连接到CPP，用于调节复合梁的带隙。弯曲波动方程由欧拉梁理论建立。采用平面波展开法和传递矩阵法，计算了弯曲波的复杂能带结构，研究了频率范围和带隙中的减振情况。数值结果表明，通过调谐外接电容分流电路，可以方便地调节周期性结构的带隙。负电容并联电路的调节能力强于正电容。我们可以通过使用负电容来获得不同的起始低频和宽带隙。所提出的方法为设计智能梁提供了一种有前途的方法，其带隙可以在不修改结构的情况下进行调整。