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工程力学  2014 

Lévy稳定分布对住宅楼面活荷载的统计分析

DOI: doi:10.6052/j.issn.1000-4750.2012.12.1005, PP. 166-172

Keywords: 住宅楼面,持久性活荷载,临时性活荷载,,vy稳定分布,随机数

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Abstract:

该文基于Lévy稳定分布,给出了设计住宅楼面活荷载标准值的一种新的统计方法.该方法分为4个步骤,首先采用Lévy稳定分布,拟合楼面活荷载的累积分布函数;然后运用Lévy随机数,模拟设计基准期内活荷载的极大值分布;其次通过设定活荷载极大值分布的分位数,计算持久性活荷载和临时性活荷载的最大值;最终以赋权重的方式,确定楼面活荷载的标准值.我们的分析结果表明,这个新方法不需要大量的调查数据,避免了Turkstra荷载组合原则基于经验确定标准值的缺点.与极值I型分布和威布尔分布相比,Lévy稳定分布的模拟精度最高,并且其参数能够直接刻画活荷载分布的非对称性和拖尾性.此外,采用Lévy随机数模拟法,数学简单,方便工程技术人员的使用.

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