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Effects of longitudinal fins on dynamic stability of pipes conveying fluid made of functionally graded material

机译：纵向翅片对功能分级材料管道输送流体动态稳定性的影响

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摘要

Dynamic behavior and instability of clamped-clamped pipes conveying fluid with longitudinal fins are studied in this paper. The analysis is done for pipes made of both homogeneous and functionally graded materials (FGM). In the FGM case, the materials of pipe and fins are assumed to be graded through the radial direction based on a power-law distribution. The Hamiltonian principle and Euler-Bernoulli beam assumptions are employed to derive the governing differential equations of the pipe system. Different fin configurations are investigated and the effects of several parameters including power-law index, fluid velocity, number of fins, thickness and height of the fins are analyzed. Natural frequencies of the pipe and critical flow velocities are determined for various values of parameters. Numerical results show that the stability of the system is significantly affected by the power-law index and fin dimensions. Among different fin configurations studied in this paper, the addition of non-horizontal fins provides significant improvement in the stability of both homogeneous and FGM pipes conveying fluid and consequently, can be considered as an effective "dynamic stabilizer" for the pipe system. In contrast to non-horizontal fins, the horizontal fins improve the stability of pipes conveying fluid, slightly.
机译：本文研究了具有纵向翅片的夹紧夹紧管的动态行为和不稳定性。对由均匀和功能分级材料（FGM）制成的管道进行分析。在FGM情况下，假设管道和散热材料基于动力法分布通过径向渐变。 Hamiltonian原理和Euler-Bernoulli光束假设用于导出管道系统的控制微分方程。研究了不同的翅片配置，分析了几种参数的效果，包括电力法指数，流体速度，翅片的翅片，厚度和高度的效果。针对各种参数值确定管道和临界流速的自然频率。数值结果表明，该系统的稳定性受到电力法指数和翅片尺寸的显着影响。在本文研究的不同翅片配置中，添加非水平翅片在输送流体的均匀和FGM管的稳定性方面提供了显着的改善，并且可以被认为是管道系统的有效的“动态稳定器”。与非水平翅片相比，水平翅片略微提高管道输送流体的稳定性。

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