【摘要】 本文采用传统的三角级数法合成人工地震波。鉴于求解周期接近时间步长的简谐振动的响应时,数值解会产生很大的误差,为此本文提出理论解和数值解相结合的方法应用于幅值谱修正中各频率分量对反应谱贡献的计算,确保了幅值谱大小调整的正确性,提高了人工地震波迭代计算的数值稳定性和收敛性。此外,本文在已有的人工地震波合成研究的基础上,对迭代过程中产生的地震波进行最小二乘法校正,并对校正后的标准地震波进行归一化处理。最后,以福建仙游抽水蓄能电站面板堆石坝为例,应用本文的方法合成的人工地震波既能满足水工设计反应谱拟合的精度要求,又能满足峰值加速度的设计要求,同时消除了人工地震波速度、位移时程的漂移现象。更多还原

【Abstract】 This paper presents a trigonometric series method to synthesize simulated earthquake waves.In this method,theoretical and numerical solutions are combined to calculate the contribution of each frequency component to response spectrum used for amplitude spectrum correction to reduce numerical errors in solving simple harmonic motions with periods close to the numerical time step.Least square method is used to regulate earthquake waves generated in the iterative process,and the corrected standard earthquake waves are normalized.The method can ensure the accuracy of amplitude spectrum adjustment and improve numerical stability and convergence in the iteration of simulated earthquake wave computation.Application of the method to the concrete faced rockfill dam of Fujian Xianyou pumped storage power station shows that the synthesized earthquake waves meets the accuracy requirement of response spectrum in hydraulic structure design and the design requirement of peak acceleration,while eliminating the shifts in time developments of velocity and displacement of the simulated earthquake waves.更多还原