云南永胜地震记录速度反应谱特性研究

利用云南省永胜县Ms 6.0级地震记录,根据单自由度体系的运动方程用Matlab编程求解得到速度反应谱,计算V/PGV并对该放大系数反应谱进行研究。随机挑选了100条周期为6 s的反应谱来研究,并以反应谱峰值所处区间的不同分成两类。先根据传统方法大概判断反应谱的几个拐点并统计其坐标,用三参数Weibull分布对所选取的每个拐点群进行K-S检验,检验得到所选反应谱拐点是可接受的,并求得反应谱各个拐点期望值。以几个拐点期望值为设计反应谱的分段点,结合实测地震动反应谱曲线,运用最小二乘法拟合得到四段式设计反应谱,最后对设计反应谱与实际反应谱进行误差分析验证。

Velocity Response Spectrum Characteristics of Yunnan Yongsheng Seismic Records

Used the seismic records collected in the magnitude 6.0 earthquake occurring in Yongsheng County, Yunnan Province, its velocity response spectrum was obtained by solving the motion equation of the single degree of freedom system with Matlab programming. The V/PGV was calculated and the coefficient response spectrum was analyzed. A series of 100 response spectrums, each 6 s period apart, were randomly selected for studying and divided into two categories according to the location peak of the response spectrums. By using the traditional method, several inflection points of the response spectrum were roughly judged and their coordinates were statistically calculated. K-S tests were performed on each selected inflection point group based on the method of three-parameter Weibull distribution. The test results for the selected reaction spectrum inflection point were acceptable, and the expected value of each inflection point was further obtained. Taking the expected value of several inflection points as the piecewise points of the design response spectrum, a four-step design response spectrum was proposed by using the least square fitting with the measured seismic response spectrum curve. The error analysis of the design response spectrum and the actual response spectrum verifies the correctness of the design response spectrum.