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Indexed by:会议论文

Date of Publication:2007-08-01

Included Journals:CPCI-S

Volume:14

Page Number:270-274

Abstract:The nonlinear vibration and stability of translating cables with small sag-to-span ratios under a steady wind excitation are investigated in this paper. The governing equation is obtained by modelling the wind excitation as a nonlinear function of the average wind speed. The Galerkin's approach is adopted to approximate the cable to a four-DOF system. The stability of the equilibrium configuration is determined through an eigenvalue analysis for the linearized system. Based on the Routh-Hurwitz criterion, explicit conditions are provided for the Hopf bifurcation via which the flutter instability is developed. The periodic, limit-cycle motion is determined by the method of Incremental Harmonic Balance along with the stability analysis using the Floquet-multiplier computation. For the forced vibration excited by mechanical loadings, it is shown that there exist both periodic and quasi-periodic motion responses. The quench frequency with which the self-excitation response wears out is computed and the secondary Hopf bifurcation of the response is presented.