Dynamic vibration absorbers (DVAs) are often used to reduce vibrations in narrow frequency ranges. To reduce the flexural vibrations of a fluid-filled pipe system in a broader frequency band, several DVAs are attached to the pipe periodically to constitute a system akin to a locally resonant phononic crystal. Each DVA is analyzed based on mechanical impedance theory, and Bloch wave theory and the transfer matrix method are used to investigate the wave propagation in such a periodic system. The validity and accuracy of the natural frequencies and dynamic responses obtained are verified by comparing the present numerical results with results from the finite-element method. Also analyzed are the band-gap formation mechanism and how various system parameters influence the band-gap behavior, such as how the lattice and absorber properties influence the location and width of the lowest band gap. Lastly, a mass–spring DVA is designed and attached periodically to find the existence of locally resonant band gaps. The analytical and experimental results show that the mechanical impedance of the DVA is the main factor for the band-gap formation mechanism. When the DVAs are periodically arrayed, it can more effectively control flexural pipe vibration by broadening the bandwidth they attenuate and increase the magnitude of vibration attenuation.

动态减振器 (DVA) 通常用于减少窄频率范围内的振动。为了在更宽的频带内减少充满流体的管道系统的弯曲振动，几个 DVA 周期性地连接到管道上，以构成一个类似于局部共振声子晶体的系统。基于机械阻抗理论对每个 DVA 进行分析，并使用 Bloch 波理论和传递矩阵方法来研究这种周期系统中的波传播。通过将现有数值结果与有限元方法的结果进行比较，验证了所获得的固有频率和动力响应的有效性和准确性。还分析了带隙形成机制以及各种系统参数如何影响带隙行为，例如晶格和吸收体属性如何影响最低带隙的位置和宽度。最后，设计并定期连接质量弹簧 DVA，以发现局部共振带隙的存在。分析和实验结果表明，DVA 的机械阻抗是影响带隙形成机制的主要因素。当 DVA 周期性排列时，可以通过扩大它们衰减的带宽和增加振动衰减的幅度来更有效地控制弯曲管道的振动。