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アァカサザタダナハバパマヤャラワヮンイィキギシジチヂニヒビピミリウゥクグスズツヅッヌフブプムユュルエェケゲセゼテデヘベペメレオォコゴソゾトドノホボポモヨョロヲ ―

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A modified non-linear model for high mass ratio square cylinder

Nadeem A. Sheikh,S. Manzoor,S. Khushnood 대한기계학회 2014 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.28 No.12
An improved analytical method for the modelling of vortex induced vibrations (VIV) of a square section cylinder is reported. Themethod is based on a typical structural oscillator coupled to a non-linear wake (Van der Pol) oscillator. Improvements are introduced tothe pre-existing analytical methods sorted out from the literature. Dissipation term in the structural oscillator model is modified by theaddition of a non-linear damping term. Definition of the wake oscillator is updated simultaneously to include stream-wise force componentexerted on the structure. Results show that our modified analytical method correctly predicts the location of peak lock-in amplitudeon the amplitude vs reduced-velocity map as observed in recent experiments. The range of lock-in is also reasonably well predicted. Themodified method shows that the influence of non-linear structural damping and stream-wise force components cannot be neglected whilemodelling high mass ratio systems.