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采用Lagrange方程建立了磁流变式调谐液柱阻尼器(MR-TLCD)与桥梁单自由度扭转耦合结构的动力学模型,依据试验数据把磁流变液阻尼器简化成Bingham模型并采用等效线性化处理。在简谐荷载激励情况下,在时域和频域内优化了随输入电流值变化的4种截面MR-TLCD的参数;在随机风荷载激励情况下,进一步评估了优化后的MR-TLCD对桥梁风致扭转振动的控制效果。结果表明:这4种MR-TLCD都存在相应的最小平均动力放大系数比,且截面面积越大对应的最优电流值越大,平均动力放大系数比越小;扭转角位移峰值减小了43.9%,扭转加速度减小了41.1%。
Based on the Lagrange equation, the dynamic model of MR-TLCD coupled with torsionally-coupled single-degree-of-freedom bridge was established. Based on the experimental data, the MRF damper was simplified to Bingham model and the equivalent Linearization. Under the condition of simple harmonic excitation, the parameters of MR-TLCD with 4 cross-sections were optimized in the time domain and the frequency domain with the change of input current value. Under the condition of random wind load excitation, the optimized MR-TLCD was further evaluated for the bridge Wind induced torsional vibration control effect. The results show that there is a corresponding minimum average dynamic amplification factor ratio for all four kinds of MR-TLCDs. The larger the optimal cross-sectional area is, the larger the optimal current value is and the smaller the average dynamic amplification factor ratio is; the peak value of the torsional angular displacement is reduced by 43.9 %, Torsional acceleration decreased by 41.1%.