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利用开放系统的Hamilton原理推导了非均匀流输流管道的动力学方程,应用波传播解法对其固有频率进行了求解,得到了不同流速下非均匀流输流管道系统的固有频率,并与均匀流情况下的计算结果进行了对比。研究结果表明,无论对于非均匀流还是均匀流,输流管道的固有频率随内流流速的增加而减小;非均匀流输流管道相比于均匀流输流管道有较高的固有频率。文中的研究结果为输流管道的流致振动分析提供了一定的借鉴和参考。
The Hamiltonian principle of open system is used to deduce the dynamic equation of the non-uniform flow pipeline. The natural frequency of the pipeline is solved by wave propagation method. The natural frequencies of the pipeline system with non-uniform flow are obtained, Flow case of the calculation results were compared. The results show that the natural frequency of the pipeline decreases with the increase of the internal flow rate, both for the non-uniform flow and the uniform flow. The non-uniform flow pipeline has a higher natural frequency than the uniform flow pipeline. The research results in this paper provide some references for the flow induced vibration analysis of the conveying pipe.