【摘要】 地震运动作用在结构物基础上的反应分析，常规采用确定论方法来求解，如时程法、反应谱方法等。在理论上处理是十分方便的，但往往不能反映真实情况。为此还需要采用非确定论方法作为补充分析，如应用随机振动中的功率谱密度统计方法作为一种补充分析方法，以提高分析结果的可靠性。采用随机过程中穿越阈值次数的概率统计问题作为出发点，求得地震反应不超出阈值的概率分布函数定量的统计公式。该公式可以直接应用到地震反应谱与输入功率谱密度之间，建立一个定量的可信度关系，以核实反应谱是否已经反映了随机过程的真实可靠程度。更多还原

【Abstract】 The response analysis of seismic motion on the basis of structures usually uses deterministic methods, such as time history method, response spectrum method, etc., which is very convenient in theory, but often does not reflect the actual situation. For this reason, it is also necessary to use nondeterministic methods as supplementary analysis, such as applying the statistical method of power spectral density in random vibration as a supplementary analysis method to improve the reliability of the analysis results. Using the probability statistics of the number of crossing thresholds in a random process as a starting point,a quantitative statistical formula for the probability distribution function of the seismic response not exceeding the threshold is obtained. This formula can be directly applied to establish a quantitative relationship between the seismic response spectrum and the input power spectrum density the reliability relationship is used to verify whether the response spectrum has reflected the true reliability of the random process.更多还原