IN-PLANE OSCILLATION OF HIGHLINE CABLE FOR ALONGSIDE REPLENISHMENT SYSTEM WITH SINGLE AND DUAL INTERNAL RESONANCES

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Journal of Vibration and Shock ›› 2011, Vol. 30 ›› Issue (8) : 157-160,.

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IN-PLANE OSCILLATION OF HIGHLINE CABLE FOR ALONGSIDE REPLENISHMENT SYSTEM WITH SINGLE AND DUAL INTERNAL RESONANCES

Zhang Liang-xin; He Xue-jun; Ren Ai-di

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Abstract

A nonlinear dynamic model of in-plane motion for highline cable system of alongside replenishment was formulated, which considered the influence of the lumped mass on highline cable. The partial differential equation was discretized into ordinary differential equations by Galerkin approach and the standard dynamic equations of highline cable were acquired. The influence of the position of lumped mass on the first three modal frequencies was analyzed during the course of alongside replenishment and the modal frequencies had nonlinear hysteretic characteristic. The dynamics for parametrically excited highline cable system with 1:1:2 internal resonance and 1:2 internal resonance were analyzed numerically, and time history curves, phase trajectories of which were obtained up to the third model. The results show that there exist complex dynamic behaviors such as multiple period motion in internal resonant cases, and the first two models were dominant in the in-plane oscillation of highline cable system. Whereas only the first model was dominant in the in-plane oscillation of highline cable system with 1:2 internal resonant, and the first modal oscillation was periodical.

Key words

internal resonance / modal frequency / multiple period / Galerkin approach / highline cable

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Zhang Liang-xin; He Xue-jun;Ren Ai-di. IN-PLANE OSCILLATION OF HIGHLINE CABLE FOR ALONGSIDE REPLENISHMENT SYSTEM WITH SINGLE AND DUAL INTERNAL RESONANCES[J]. Journal of Vibration and Shock, 2011, 30(8): 157-160,