典型箱梁竖向涡激气动力行波效应与抑振机理
Vertical vortex‑excited aerodynamic wave effect and vibration suppression mechanism of typical box girder
-
摘要: 为研究增设检修轨道导流板、人行道栏杆抑流板等气动措施抑振机理,开展了大尺度节段模型测振测压风洞试验。基于表面压力时空分布特征及其统计特性提出了气动行波假设,结合谱本征正交分解(spectral proper orthogonal decomposition,SPOD)方法进行验证,并提出气动力时空功率谱,进一步量化与解构了复杂的时空压力场,揭示了流线型箱梁涡振机理及气动措施抑振机理。研究表明:原始断面在试验风速内存在3阶竖向涡振锁定区间,其中第3阶锁定区振幅最大。增设检修轨道导流板后,断面最大振幅减小53.1%,增设人行道栏杆抑流板后涡振消失。断面表面复杂压力场可表达为多个不同激励源诱发的气动力时空分布模式的线性叠加。原始断面表面压力场由断面振动基频处1阶SPOD模态对应压力时空分布主导,同时上表面模态压力时空分布占主导地位。上表面主导模态压力沿下游呈现行波式演变,贡献值呈波浪式分布,统称为“气动行波”效应。上表面气动行波作用强度远大于下表面。气动行波传播可由分布气动力与涡激力相位差单调递减表征。原始断面上表面气动行波波长与贡献值空间分布波长基本一致,约等于前、后缘防撞栏杆之间距离。增设导流板后,上表面主导气动行波传播模式基本不变,作用强度减小,从而涡振幅值减小。增设抑流板使得上表面能量分布呈宽带分布特征,锁频现象消失,故而不发生涡振。研究提炼了涡振时断面表面复杂压力场中的关键和主导气动力时空演变模式——气动行波,为桥梁主梁断面涡振机理分析和涡激力数理模型的构建提供了思路。Abstract: In order to study the suppression mechanism of vortex-induced vibration (VIV) by adding aerodynamic countermeasures such as guide vanes near maintenance rails and spoilers on handrails, the displacement and pressure measurement on a large-scale sectional model was conducted in wind tunnel tests. Based on the spatial-temporal distribution and statistical characteristics of surface pressure, an aerodynamic wave hypothesis is proposed and further verified using the spectral proper orthogonal decomposition (SPOD) method. Moreover, the complex spatial-temporal pressure field is quantified and deconstructed with the spatial-temporal energy spectrum of the aerodynamic force, revealing the mechanism of vertical VIVs as well as its suppression by aerodynamic countermeasures in a streamlined box girder. The results reveal that there are three lock-in ranges of vertical VIVs for the original girder while the largest VIV response appears in the 3rd order lock-in range. The addition of guide vanes near maintenance rails reduces the maximum amplitude of model displacement by 53.1% whereas the installation of spoilers on handrails eliminates VIVs. The complicated pressure field on the girders surface can be expressed as a linear superposition of aerodynamic forces related to multiple spatial-temporal distribution modes induced by different excitation sources. The pressure on the original girder is dominated by the 1st order SPOD mode where the component at the fundamental frequency of bridge girder is the main ingredient. Meanwhile, the spatial-temporal distribution mode of aerodynamic force on the upper surface contribute more to the VIVs. The predominant aerodynamic forces mode distributing harmonic on the upper surface travels downstream, with the contribution value presenting a wave-like distribution, collectively referring to as the “aerodynamic wave effect”. The aerodynamic wave intensity acting on the upper surface is much greater than that of the lower surface. The propagation of the aerodynamic wave could be characterized by the monotonously decreasing phase lag between the distributed aerodynamic forces and the vortex-excited forces (VEFs). The wavelength of the aerodynamic wave on the original girder is approximately consistent with the wavelength of the contribution value, which corresponds to the distance between the windward and leeward crash barriers. With the addition of guide vanes near maintenance rails, the predominant mode of aerodynamic wave on the upper surface is similar with that on the original girder while the wave intensity decreases, resulting in a reduction of VIV response. The spatial-temporal energy spectrum of aerodynamic force on the upper surface turns into a broadband distribution after the installation of spoilers on handrails, and the frequency lock-in phenomenon disappeared. Thus, VIVs were eliminated. This study provides a new perspective for the analysis of pressure field on girder surface and constructing mathematical models of the vortex-excited force on bridge girders, which could deeply reveal the mechanism of VIV.