Abstract In order to reduce the vibration of planar pipe systems assembled by multiple segments, bends and supports, an impedance synthesis method, which is based on the Timoshenko beam theory, is used to analyze vibration and wave propagation characteristics. Due to junction coupling at unanchored bends, there exists interesting hydraulic and structural wave transmission and reflection. By comparing the natural frequencies and dynamic responses with results available in the literature and with results of the finite-element method, the present calculation method is validated. Based on the relation between the wave number and the propagation band gap, parametric studies of a pipe system with periodic supports are presented. In addition, novel experiments are carried out to validate the present method and to investigate the dynamic response of a pipe system with periodic supports. The results of this paper may provide guidance for vibration reduction of supported pipe systems with elbows.

中文翻译：

---

基于阻抗合成法的多支座充液L形管面内波传播分析

摘要 为了降低由多段、弯管和支座组成的平面管道系统的振动，采用基于铁木辛柯梁理论的阻抗合成方法分析振动和波的传播特性。由于非锚定弯道处的结耦合，存在有趣的水力和结构波传输和反射。通过将固有频率和动态响应与文献中可用的结果和有限元方法的结果进行比较，验证了当前的计算方法。基于波数与传播带隙之间的关系，提出了具有周期性支撑的管道系统的参数研究。此外，进行了新的实验以验证本方法并研究具有周期性支撑的管道系统的动态响应。本文的研究结果可为带弯头的支撑管道系统的减振提供指导。