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The existence of periodic solution of the fourth ordinary nonlinear differential equation caused by flow-induced vibration

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Abstract

The vortex-induced vibration is a well-known problem in mechanics. In this paper, with the help fixed point principle, we study this problem and find the existence condition of the periodic solution as well as the region of parameters.

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Communicated by Chien Wei-zang

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Qing-fang, G., Da-qing, T. The existence of periodic solution of the fourth ordinary nonlinear differential equation caused by flow-induced vibration. Appl Math Mech 15, 291–300 (1994). https://doi.org/10.1007/BF02451064

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  • DOI: https://doi.org/10.1007/BF02451064

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