Synthesis of ground motion history compatible with the response spectrum with densified controlling points
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摘要: 在传统地震动反应谱频域拟合方法的基础上，提出了拟合加密控制点目标反应谱的地震动合成方法，并在此基础上利用实际算例与传统方法进行了对比.本文方法在每次迭代调整过程中均考虑了对地震动加速度强度包络函数的模拟，并且对调整后的地震动进行了基线校正，从而确保最终合成的地震动时程既能以一定精度拟合加密目标反应谱，又能满足目标包络函数的要求，同时保证积分所得位移曲线不产生基线漂移.数值算例分析结果表明，本文方法与传统非加密控制点目标谱拟合方法相比，在地震动时程曲线合成、反应谱拟合精度以及收敛速度等方面均具有一定的优势.Abstract: Based on traditional frequency-domain response-spectrum-compatible method of ground motion, this paper proposes a synthesized method that can generate ground motion which is compatible with the target response spectrum with densified controlling points, and further compares the method with the classical one compatible with target response spectra of ground motion. This method takes into account the simulation of the acceleration envelope of the ground motion during each iteration adjustment for the initial non-stationary artificial ground motions generated by the trigonometric series superposition method, and the resulting ground-motion acceleration after the each iteration will undergo the baseline correction. Therefore, the synthesized ground motion generated by the proposed method can not only match the densified target spectrum with certain precision, but also satisfy the requirement of the envelope function of acceleration time history, and the integrated displacement curve does not present any baseline drift. Numerical results show that this method can not only match the target spectrum with relatively high convergence speed, but also fit the target envelope function with high precision. In addition, this method can realize baseline correction for the initial ground motion.
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图 1 一次迭代中加入脉冲前后地震动加速度(a)、速度(b)和位移(c)时程曲线及加速度脉冲时程(d)
Figure 1. The time-history curves of acceleration (a), velocity (b) and displacement (c) and acceleration pulse duration (d) of the ground motion before and after the pulse are added to the iteration
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图 2 基线校正对地震动反应谱的影响
Figure 2. Influence of baseline correction on response spectrum of ground motion
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图 4 传统方法合成的地震动加速度(a)、速度(b)和位移(c)时程曲线以及反应谱拟合情况(d)
Figure 4. The acceleration (a), velocity (b) and displacement (c) time-history curves and response spectrum fitting (d) of the synthetic ground motion by conventional non-encrypted method
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图 5 本文方法合成的地震动加速度(a)、速度(b)和位移(c)时程曲线以及反应谱拟合情况(d)
Figure 5. The acceleration (a), velocity (b) and displacement (c) time-history curves and the response spectrum fitting (d) of the synthetic ground motion by the encrypted method proposed in this paper
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图 6 加密控制点和迭代包络对迭代运算的收敛速度的影响
Figure 6. The effect of the encrypted control point and iterative envelope on the convergence speed of iterative operation
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图 7 传统非加密方法合成地震动的加速度(a)、速度(b)、位移(c)时程曲线和加速度反应谱(d)
Figure 7. The acceleration (a), velocity (b) and displacement (c) history curves and response spectra (d) of synthetic ground motion by conventional non-encrypted method
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图 8 本文加密方法合成地震动的加速度(a)、速度(b)、位移(c)时程曲线和加速度反应谱(d)
Figure 8. The acceleration (a), velocity (b) and displacement (c) history curves and response spectrum (d) of synthetic ground motion by encrypted method proposed in this paper
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