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中文摘要：
地震动是工程结构地震反应研究与抗震设计的基础，要分析工程系统的性能，必须要把地震动作为随机过程来建立可靠的模型。本文通过对非平稳过程演变谱的研究，给出双调制函数，建立了双调制非平稳地震地面运动模型。结合双调制函数和三角级数法生成人工地震波，通过对人工波频率和强度的非平稳性研究验证了双调制模型的有效性。同时本文给出了双调制非平稳地震激励的结构响应虚拟激励算法，得到响应的时变功率谱。分析表明，该模型具有明确的物理意义，且更符合实际，为结构抗震可靠性分析提供了一种较好的地震动模型。
英文摘要：
Earthquake ground motion is the foundation of studying structure seismic response and seismic design. In order to analyze the performance of engineering system, the reliable model of earthquake ground motion must be proposed as a random process. By analyzing the non-stationary random process evolutionary spectra given by Priestly, the bi-modulation function and bi-modulation model of non-stationary earthquake ground motion were proposed. The bi-modulation function and the trigonometric series were used to simulate non-stationary seismic wave. The effectivity of hi-modulation model was validated by the analyzing frequency and amplitude of simulated seismic wave. Time-dependent power spectrum of struc- tural response was presented by pseudo-excitation algorithms of bi-modulation non-stationary earthquake excitation. The analyses show that this model has definite physical meaning, so it can provide a feasible foundation for analysis of seismic structure reliability.
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