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提出了一种抑制桥板扭转振动的调频液体阻尼器 (TLCD)模型 ,建立了 TLCD与桥板相互作用的运动方程。在简谐荷载作用下 ,分别在时域和频域内对 TLCD-桥板系统进行了动力分析。采用自适应的 Runge- Kutta- Fehlberg数值积分法求得系统的时程响应。为实现频域分析 ,对液体非线性运动方程进行了等效线性化 ,推导出 TLCD的等效阻尼比。通过算例表明 TLCD可有效抑制桥板扭转振动。最后 ,通过模型试验验证了理论模型的正确性。
A TLCD model to restrain the torsional vibration of the bridge was proposed, and the equation of motion for the interaction between TLCD and the bridge was established. Under simple harmonic loading, the dynamic analysis of TLCD-bridge system was carried out in the time domain and the frequency domain respectively. The time-history response of the system is obtained by the adaptive Runge-Kutta-Fehlberg numerical integration method. In order to realize the frequency domain analysis, the nonlinear equations of liquid are equivalently linearized, and the equivalent damping ratio of TLCD is deduced. The results show that TLCD can effectively restrain the torsional vibration of bridge deck. Finally, the correctness of the theoretical model is verified by the model test.