天然叠层橡胶支座水平刚度的概率统计分析
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摘要
以橡胶支座剪切模量作为水平刚度的变量参数,对同一厂家、同一直径天然叠层橡胶支座剪切模量的概率统计特性进行了研究。借助matlab软件,进行卡方以及KS假设检验,从而得出了其概率分布形式及相应参数。然后通过将各样本符合的分布分别转化成标准分布形式以增加样本数量来判断哪种拟合形式更优。结果表明,同一厂家、同一直径支座剪切模量更好地服从极值Ⅰ型(最小值型)分布。以上结论可为更准确地分析隔震结构的可靠度,明确其目标可靠度,完善基于概率理论的隔震结构设计方法提供依据。
Taking the shear modulus of the rubber bearing as the variable parameter of the horizontal stiffness,the probability statistical properties of the shear modulus of natural laminated rubber bearings of the same manufacturers and the same diameter are studied on.With the help of MATLAB software,its probability distribution and corresponding parameter are gained by chi-square and K-S hypothesis testing.Then by transforming the samples consistent with the distribution into the standard distribution respectively in order to increase the sample quantity to judge which kind of fitting form is better.The results show that,shear modulus of rubber bearing of the same manufacturers and the same diameter better subordinates to the extreme value type(minimum distribution type).The conclusions above can provide a basis of analyzing the base-isolated structure reliability more accurately,of making clear the target reliability and of perfecting the isolated structure design method based on probability theory.
引文
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