On the development of a nonlinear time-domain numerical method for describing vortex-induced vibration and wake interference of two cylinders using experimental results

Abstract A nonlinear mathematical model is developed in the time domain to simulate behaviour of two identical flexibly mounted cylinders tandem while undergoing vortex-induced vibration (VIV). Subsequently, validated and modified against experimental results. Placing an array bluff bodies proximity frequently happens different engineering fields. Chimney stacks, power transmission lines oil production risers are few structures that may be impacted by VIV. The coinciding frequency with structure natural could have destructive consequences. main objective this study provide a symplectic reliable capable capturing wake interference phenomenon. This shows influence leading cylinder on trailing body attempts capture change added mass damping coefficients due upstream wake. using coupled equations structural response hydrodynamic force each cross-flow stream-wise directions. Thus, four describe fluid–structure interaction cylinder. Duffing equation describes motion, van der Pol oscillator defines force. system solved analytically. Two modification terms excitation side adjust incorporate effect Both functions shedding (Strouhal number). Additionally, coefficient function acceleration velocity. values determined curve fitting difference between downstream forces, obtained from experiments. optimizing same set Values at seven spacings used define universal spacing for so they can any given distance cylinders. lock-in range maximum amplitude.