Disorders in Periodic Support for Pipeline Conveying Fluid

Qingna Zeng, Donghui Wang, F. Zang, Yixion Zhang
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Abstract

This paper studies the influence of disordered parameters on vibration transmission characteristic of pipeline structure with periodic support. Transverse Band Gap structures (BGs) for perfect period and frequency response function (FRF) for finite periods are investigated and fit well with each other. By introducing a certain degree of uncertainty level, interval method is used to convert uncertain parameter problem into two deterministic models. FRF for near-periodic structure with single disorder and BGs for quasi-periodic structure with multiple disorders are investigated concerning support stiffness and periodic length. The existence of disorders in periodic structure would always reduce the attenuation intensity and interval, and some disturbance would even generate new intermediate attenuation zones. Elastic wave propagation with periodic support is much more sensitive to periodic length rather than support stiffness, as the sensitivity is closely related with attenuation mechanism. Therefore, such defects should be carefully avoided in design and manufacturing this kind of periodic pipeline structures. The work in this paper enriches the stability analysis of the pipeline structure with periodic support, and provides reference for the research of noise and vibration reduction of pipeline system in practical engineering.
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管道输送流体的周期性支撑紊乱
研究了无序参数对周期性支撑管道结构振动传递特性的影响。研究了完美周期下的横向带隙结构和有限周期下的频响函数的拟合性。通过引入一定程度的不确定水平,采用区间法将不确定参数问题转化为两个确定模型。研究了含单扰动的近周期结构的频响和含多扰动的准周期结构的BGs,考虑了支撑刚度和周期长度。周期结构中无序的存在总会使衰减强度和衰减间隔减小,某些扰动甚至会产生新的中间衰减带。周期支撑下弹性波传播对周期长度的敏感性远高于支撑刚度,其敏感性与衰减机制密切相关。因此,在设计和制造这种周期性管道结构时,应注意避免这种缺陷。本文的工作丰富了周期性支撑管道结构的稳定性分析,为实际工程中管道系统的降噪减振研究提供了参考。
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