地震波时域数值优化研究及应用
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摘要
将最小二乘拟合法与单自由度地震动力反应递归法相结合来解决地震观测和人工模拟地震波过程中速度、位移的基线漂移问题。首先以3次多项式来拟合加速度的均值线(一次优化);再对一次优化后的积分速度、位移时程仍存在的长周期基线波动问题,运用单自由度地震动力反应递归法进行二次优化。文中通过3个数值算例体现出优化算法的优越性,并将优化后的地震波加速度时程应用到江坪河水电站溢洪道控制段三维有限元动力计算分析中。结果表明,该算法消除了积分基线漂移影响,具有较好的可行性、数值稳定性和易操作性。
The velocity and displacement baseline drift problem,which occurs in the process of seismological observation and simulating the artificial earthquake wave,can be dealt with the combination of the least-square method and the recursive method of single-degree-of-freedom(SDOF) system in seismic response analysis.Firstly,the average line of the acceleration is fitted by cubic polynomial.Then,the long period baseline waving problem,which is still existed in the integral velocity and displacement after the first optimization,is secondly optimized by the recursive method of SDOF system.And the superiority of the optimization algorithm is illustrated by three numerical examples.Meanwhile,the optimized earthquake acceleration time-histories are applied in the dynamic response analysis of Jiangpinghe spillway control monolith.It is concluded that the influence of the baseline drift is eliminated by the optimization algorithm,and the optimization algorithm has better feasibility and better numerical stability,and is easy to operate.
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