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基于弹性波动理论,利用水平分层法,建立微元体的受力平衡微分方程,借助Hilbert-Huang变换,结合边界条件,应用振型分解法和正交理论推导双面岩质高陡边坡加速度高程放大效应的时频分析方法,并通过振动台试验和数值模拟验证该方法的合理性。该方法不仅能够很好地考虑地震波三要素(峰值加速度、频率以及持时)对加速度高程放大性的影响,而且能够从理论计算的角度来解释坡体的“鞭梢效应”问题。
Based on the elastic wave theory, the horizontal equilibrium method is used to establish the force equilibrium differential equations of the micro-bodies. By using the Hilbert-Huang transform and the boundary conditions, the double-sided rock high-steep slope is derived by using the mode decomposition method and the orthogonal theory Time-frequency analysis method of acceleration elevation effect, and verify the rationality of the method through shaking table test and numerical simulation. This method can not only consider the influence of three elements (peak acceleration, frequency and duration) of seismic waves on the elevation of acceleration, but also explain the problem of “whiplash effect” of slope from the theoretical calculation.