Volume 43 Issue 7
Jul.  2022
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YUAN Jiarui, DING Hu, CHEN Liqun. Analysis and Simulation of Natural Frequencies of Slightly Curved Pipes[J]. Applied Mathematics and Mechanics, 2022, 43(7): 719-726. doi: 10.21656/1000-0887.420299
Citation: YUAN Jiarui, DING Hu, CHEN Liqun. Analysis and Simulation of Natural Frequencies of Slightly Curved Pipes[J]. Applied Mathematics and Mechanics, 2022, 43(7): 719-726. doi: 10.21656/1000-0887.420299

Analysis and Simulation of Natural Frequencies of Slightly Curved Pipes

doi: 10.21656/1000-0887.420299
  • Received Date: 2021-09-28
  • Rev Recd Date: 2021-10-27
  • Publish Date: 2022-07-15
  • For the transverse vibration of slightly curved pipes, a dynamic mechanical model based on the Timoshenko beam theory was established for the 1st time. The natural vibration characteristics of slightly curved pipes under the influence of the fluid flow were analyzed. With the generalized Hamiltonian principle, the governing equation of the transverse vibration of slightly curved pipes under the fluid-structure coupling effect was derived. Based on the Galerkin truncation, the natural frequencies of slightly curved pipes were obtained with the generalized eigenvalue method. Effects of the fluid velocity and the initial deflection on the natural vibration characteristics of the pipe were studied. The equivalent stiffness and damping method-based finite element simulation of the natural vibration of the slightly curved pipe was developed. Then through the finite element numerical simulation, the results of the Galerkin truncation method and the effectiveness of the Timoshenko model were verified. The work shows that, both the fluid velocity and the initial deflection have significant effects on the natural frequencies of slightly curved pipes.

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