Swing-pitch coupled internal resonance responses of Spar platform based on IHBM

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Journal of Vibration and Shock ›› 2020, Vol. 39 ›› Issue (1) : 85-90.

DU Yazhen,WANG Wenhua,HUANG Yi

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Abstract

To overcome shortcomings of the classical perturbation method and the time integration method in analyzing swing-pitch coupled response motion of a Spar platform, the incremental harmonic balance method (IHBM) was proposed to study characteristics of the coupled responses. Floquet stability analysis theory was used to analyze the stability and bifurcation behavior of a periodic solution. Then, IHBM combined with the arc-length method was adopted to realize rapidly and continuously solving the Spar platform’s swing-pitch coupled periodic motion responses. The results using IHBM were compared with those using the time domain simulation and the multi-scale method to verify the correctness and high efficiency of IHBM. It was shown that IHBM can be used to predict pitch unstable phenomena induced by the system internal resonance; it can be combined with Floquet theory to predict parametric intervals of quasi-periodic motion induced by swing-pitch coupled motion to provide a good foundation for quasi-periodic motion analysis.

Key words

spar platform / internal resonance / incremental harmonic balance method (IHBM) / periodic motion / quasi-periodic motion

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DU Yazhen,WANG Wenhua,HUANG Yi. Swing-pitch coupled internal resonance responses of Spar platform based on IHBM[J]. Journal of Vibration and Shock, 2020, 39(1): 85-90

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