Uncertain Frequency Responses of Clamp-Pipeline Systems Using an Interval-Based Method
Uncertain Frequency Responses of Clamp-Pipeline Systems Using an Interval-Based Method
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DOI：
10.1109/access.2020.2972396
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发表时间：
2020
期刊：
影响因子：
3.9
通讯作者：
Xumin Guo;Hui Ma;Xufang Zhang;Zhuolin Ye;Qiang Fu;Zhonghua Liu;Qingkai Han
中科院分区：
文献类型：
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作者：
Xumin Guo;Hui Ma;Xufang Zhang;Zhuolin Ye;Qiang Fu;Zhonghua Liu;Qingkai Han
由于夹具金属橡胶的制造误差和材料劣化，管道的夹具刚度是不确定的。本文提出了一种非侵入式多维切比雪夫多项式近似法（M-CPAM）来评估夹钳-管道系统频响函数（FRF）的不确定特性，其中夹钳刚度参数作为未知但有界的区间变量。首先，建立了夹具-管道系统的有限元模型。其次，进行基于方差的全局灵敏度分析，确定重要刚度参数；然后，通过实验测量了夹紧刚度的不确定区间，并描述了夹紧刚度的离散性。最后，基于实测刚度区间，利用M-CPAM分析了不同拧紧力矩下CPS的不确定频率响应，并通过实验验证了仿真结果的有效性。与蒙特卡罗仿真、实验测量和多项式混沌展开的结果相比，所提出的M-CPAM方法为求解具有区间刚度变量的CPS的不确定频率响应提供了一种更为准确、省时和实用的方法。结果表明，在相同的拧紧力矩下，夹紧刚度具有较大的分散性。当夹紧刚度不确定时，会出现频移现象。随着拧紧力矩的增大，CPS的频响频散趋于集中。
Due to manufacturing errors and material deteriorations in the metal rubber of clamps, the clamp stiffness of the pipeline is uncertain. This paper presents a non-intrusive multi-dimensional Chebyshev polynomial approximation method (M-CPAM) to evaluate uncertain characteristics of the frequency response function (FRF) of the clamp-pipeline system (CPS), where the clamp stiffness parameters are taken as unknown but bounded interval variables. Firstly, a finite element model of the clamp-pipeline system is established. Secondly, the variance-based global sensitivity analysis is implemented to determine significant stiffness parameters. Then, the uncertain intervals of the clamp stiffness are measured by experiments and the dispersion of the clamp stiffness is described. Finally, based on the measured stiffness interval, the uncertain frequency responses of the CPS under different tightening torques are analyzed by the proposed M-CPAM, and the effectiveness of simulation results is verified by experiments. Compared with the results obtained from the Monte Carlo simulation, the experimental measurements, and the polynomial chaos expansion, the proposed M-CPAM provides a more accurate, time-saving and practical method for solving the uncertain frequency responses of the CPS with interval stiffness variables. The results show that the clamp stiffness has great dispersion under the same tightening torque. A frequency shift phenomenon will be observed when the clamp stiffness is uncertain. Moreover, the dispersion of the frequency response of the CPS tends to be concentrated with the increase of the tightening torques.