航空输流管道动力学的非参模型研究

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振动与冲击 ›› 2018, Vol. 37 ›› Issue (18) : 43-47.

论文

航空输流管道动力学的非参模型研究

曹建华1,2，刘永寿1，刘伟1

作者信息 +

Dynamics analysis of fluid-conveying pipes with a nonparametric model

CAO Jianhua1,2,LIU Yongshou1,LIU Wei1

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文章历史 +

摘要

针对航空工业中管道上卡箍支承的不确定性，采用适用于系统误差的非参方法，对输流管道进行建模、仿真并预测管道振动特性。将输流直管上卡箍简化为简支和扭转弹簧，采用尺度为3，阶数为4的区间样条小波有限元离散管道振动微分方程，将卡箍所影响的系统刚度矩阵视为不确定性，采用非参方法生成随机模型。通过数值结果对比，对于频率响应曲线，非参模型的可信区间完美包含均值模型，随着频率的增大，不确定性对高阶频率影响越大。对于频率随流速变化曲线，非参模型的可信区间完美地包含均值模型，随着流速的增大，不确定性对每阶频率的实部影响越来越小，而对虚部影响越来越大，但是不确定性对发散和颤振失稳没有影响。

Abstract

In order to model the uncertainty of clamps of a pipeline in the aviation industry, a nonparametric method was adopted to model, simulate and predict the vibration characteristics of a fluid-conveying pipe.The clamp was modelled as simply supported and attached with a torsion spring.The wavelet-based finite element method was used to discretize the governing differential equations of the fluid-conveying pipe with clamps at two ends.The random global stiffness matrix, which models the effect of uncertainties of clamps, was generated by the nonparametric method.As shown in the numerical results, the confidence interval of the frequency response curves of the nonparametric model contains the mean model’s curves perfectly.As the frequency increases, the greater the influence of uncertainty at higher frequencies.For the case of the first four frequencies varying with the fluid velocity, the confidence interval of the curves of nonparametric model also contains the mean model’s curves perfectly.With the fluid velocity increasing, the influence of uncertainty on the real part of frequencies becomes smaller while the influence of uncertainty on the imaginary part of frequencies becomes greater.However, the uncertainty has no effect on the divergence and flutter instability.

关键词

输流管道

/ 卡箍 / 小波有限元 / 非参模型

Key words

fluid-conveying pipe / clamp / wavelet-based finite element / nonparametric model.

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曹建华1,2，刘永寿1，刘伟1. 航空输流管道动力学的非参模型研究[J]. 振动与冲击, 2018, 37(18): 43-47

CAO Jianhua1,2,LIU Yongshou1,LIU Wei1. Dynamics analysis of fluid-conveying pipes with a nonparametric model[J]. Journal of Vibration and Shock, 2018, 37(18): 43-47

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