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Indexed by:会议论文

Date of Publication:2007-01-01

Included Journals:CPCI-S

Volume:1

Page Number:322-+

Key Words:traveling string; self-excited vibration; stability; aerodynamic loading; limit cycle

Abstract:The nonlinear, self-excited vibration is investigated for axially traveling strings loaded by steady wind actions. The equation of motion is obtained after modeling the steady wind loading as a deterministic, nonlinear function of mean wind speed. By using the Galerkin's approach, the traveling string is simplified as an approximate system with two degree of freedoms. The stability is analyzed for the equilibrium configuration after linearizing the discretized system. With the Routh-Hurwitz criterion, the stability region is identified and the condition for generation of stable limit cycles with multiple parameters via the Hopf bifurcation is pointed out. The Incremental Harmonic Balance method is adopted to determine the self-excited motion response of the string by taking the response frequency and expansion coefficients as unknowns that are solved by the Newton-Raphson method. The stability analysis is carried out by computation of the Floquet multipliers. Various stability conditions are presented considering the transport speed, wind speed and the viscous damping as operation parameters.