Although there are a great many researches on vortex-induced vibrationof a rigid cylinder either only in 1 DOF or 2 DOF, the problem stillexists that the good accuracy by CFD method is often time consumingbut solution by many algorithms of semi-empirical method are notaccurate enough for the low mass ratio systems. A new time-domainapproach is developed for vortex-induced vibrations prediction ofsingle cylinder strip in a 2D plane, including the cross-flow and the inlineoscillation. The governing equation was established by classictheoretical derivation, where the intrinsic behavior of self-excitationand self-limitation is involved. The early proposed frequencyrelationship of vortex-excitation in synchronization is applied withlocal modifications by experimental measurements, through which thevortex shedding characteristics could be identified as well as theregimes of responding branches. Through comparison with publishedexperimental observations, the solutions have the capability ofreproducing important quantities such as the peak amplitudes, thetrajectories in crescent-shape and 8-shape, etc. This approach canprovide not only accurate but effective solution with the timeconsumingless than 10 seconds in steady current. It is a great enhancecompared to the CFD simulations in tens of hours.
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