In this study, an exploratory vibration experiment is established and an interconnected functionally graded material (FGM) pipeline system is installed. This experiment represents the first time that NiTiNOL-steel wire ropes (NiTi-ST) are applied to FGM pipeline system. And the experimental results demonstrate that the NiTi-ST has a practical vibration damping effect. Based on the experiment, a further theoretical pipeline system model is created. The effects of fluid velocity, temperature difference, and clamp stiffness on the modal and response of the pipeline system are added. The modal analysis part is solved through the implementation of the Rayleigh-Ritz approach using a set of modified orthogonal polynomials. In order to verify the accuracy of the Raylei-Ritz calculations, the finite element method (FEM) is also used. The response analysis part is solved through the Galerkin truncation method (GTM) and harmonic balance method (HBM). To match the harmonic balance solutions, the Runge-Kutta method (RK) are adopted. The results of the response analysis reveal that NiTi-ST demonstrates significant nonlinear vibration control capabilities to the interconnected FGM pipeline system under various conditions.

中文翻译：

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互连功能梯度流体输送管道的非线性振动控制

在这项研究中，建立了一个探索性振动实验，并安装了一个互连的功能梯度材料（FGM）管道系统。该实验首次将镍钛诺尔钢丝绳（NiTi-ST）应用于FGM管道系统。实验结果表明NiTi-ST具有实用的减振效果。在实验的基础上，进一步建立了管道系统理论模型。添加了流体速度、温差和夹具刚度对管道系统模态和响应的影响。模态分析部分是通过使用一组修改的正交多项式实施 Rayleigh-Ritz 方法来解决的。为了验证Raylei-Ritz计算的准确性，还使用了有限元方法（FEM）。响应分析部分通过伽辽金截断法（GTM）和谐波平衡法（HBM）求解。为了匹配谐波平衡解，采用龙格-库塔方法（RK）。响应分析结果表明，NiTi-ST 在各种条件下对互连的 FGM 管道系统表现出显着的非线性振动控制能力。