主梁断面三自由度耦合非线性颤振分析

THREE-DEGREE-OF-FREEDOM COUPLED NONLINEAR FLUTTER ANALYSIS OF MAIN GIRDER SECTION

  • 摘要: 为分析主梁断面三自由度耦合非线性颤振特性并考察侧向自由度对非线性颤振特性的影响,以某典型箱梁断面为例,建立了一种考虑18个幅变颤振导数的三自由度耦合非线性颤振分析方法。采用强迫振动数值模拟技术识别了该断面不同折减风速和不同振幅下的18个幅变颤振导数。基于识别的幅变颤振导数采用建立的三自由度耦合非线性颤振分析方法计算了该断面的非线性颤振响应,并与自由振动数值模拟结果进行对比,验证了幅变颤振导数识别结果和非线性颤振分析方法的准确性。量化了侧向自由度对非线性颤振的影响,并揭示了其影响机制。研究结果表明,侧向自由度的参与不仅在一定程度上降低颤振临界风速,也会增大非线性颤振的稳态振幅,且振幅越大这种增幅越明显,这主要是因为侧向自由度的引入降低了扭转模态分支的阻尼比,进而降低了系统的稳定性。进一步地,组成扭转模态分支阻尼比的各项中,扭转-竖向耦合气动阻尼比与扭转-侧向耦合气动阻尼比项均不利于扭转模态运动的稳定。

     

    Abstract: To analyze the three-degree-of-freedom (3-DOF) coupled nonlinear flutter characteristics of the main girder section and to investigate the influences of lateral DOF on the nonlinear flutter characteristics, a typical box girder section was taken as an example, and a 3-DOF coupled nonlinear flutter analysis method considering 18 amplitude-dependent flutter derivatives is established. The numerical simulation technique of forced vibration is used to identify 18 amplitude-dependent flutter derivatives of the main girder section under different reduced wind speeds and different amplitudes. Based on the identified amplitude-dependent flutter derivatives, the nonlinear flutter responses of the box girder section are calculated by the 3-DOF coupled nonlinear flutter analysis method established, and which are also compared with the numerical simulation results of free vibration, verifying the accuracy of the identification results of amplitude-dependent flutter derivatives and the nonlinear flutter analysis method. The influences of lateral DOF on the nonlinear flutter is quantified and its mechanism is revealed. The analysis results show that the participation of lateral DOF reduces the flutter critical wind speed and increases the steady-state amplitude of the nonlinear flutter, and that the larger the amplitude, the more obvious the increase is. The main reason of the results is that the introduction of the lateral DOF reduces the damping ratio of the torsional modal branch, which in turn reduces the stability of the system. Furthermore, among the terms constituting the damping ratio of the torsional modal branch, the torsional-vertical coupled aerodynamic damping ratio and the torsional-lateral coupled aerodynamic damping ratio are both not conducive to the stability of the torsional modal motion.

     

/

返回文章
返回