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1：2内共振及主共振情况下高架索的面内振动分析
Inplane oscillation analysis of the highline system with 1：2 internal resonance and dominate resonance
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摘要: 考虑了由货物自重引起高架索静态构型的分段特性、高架索的倾斜角以及发送端水平运动等多种因素的影响,建立了海上航行干货补给高架索系统面内振动的三自由度分段动力学模型.将惯性项解耦后,得到了1：2内共振与主共振同时作用时的常微分方程,并利用多尺度法对其进行了摄动分析和数值分析,为后续开展相关的非线性动力学研究奠定了一定的理论基础.Abstract: A three-degree-of-freedom nonlinear dynamic model of piecewise highline system during underway replenishment is investigated when the lumped mass swings in which the influences of piecewise characteristic of highline cable＇s static profile due to cargo deadweight, the incline angle and the horizontal motion of the sending end are considered.Considering 1：2 internal resonance and primary resonance,ordinary differential equations are gained by decoupling the inertial terms.Perturbation analysis and numerical analysis are carried out by adopting the multiple-scale method,which will be the theoretical basis of the further research of nonlinear dynamics.
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