基于Copula函数的风浪多方向极限状态曲线

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摘要

针对基于Rosenblatt变换极限状态曲线构造困难的现状，引入Copula函数提出了二维随机环境变量极限状态曲线构造的改进方法。该方法将随机环境变量的条件分布函数及其逆函数的求解转化为条件Copula函数及其逆函数的求解，提高了极限状态曲线构造的可行性。结合风浪同步观测数据研究了风浪多方向极限状态曲线，并在此基础上估计了某导管架平台的基底剪力极限荷载效应及对应的平均风速和有效波高取值。结果表明：各方向的风浪极限状态曲线呈现较大的差异，而全方向的极限状态曲线处于各条曲线的中间位置；各方向导管架平台的基底剪力极限荷载效应及对应的平均风速和有效波高取值差异较大，根据实测数据分方向进行风浪极限状态曲线的构造和结构极限荷载效应的估计可得到更加精确的结果。

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	涂志斌
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关键词 ： Copula函数, 风浪, 多方向, 极限状态曲线, 极限荷载效应

Abstract：

An improved method to construct environmental contour lines for two-dimensional random variables based on Copula functions was developed, aiming to overcome the difficulty encountered in Rosenblatt transformation.In the improved method, the solving of the conditional distribution function and its inverse function was turned into the solving of conditional Copula functions and its inverse functions, in order to improve the feasibility of environmental contour lines construction.And then the features of dimensional environmental contour lines of the mean wind speed and significant wave height based on synchronous observation data were studied, and the effects of extreme base shear load for a jacket platform and the corresponding values of the mean wind speed and significant wave height were estimated.The results show that there are obvious differences between each environmental contour line in each direction, and the line in omni direction is in the middle; the value of extreme load effects and the corresponding mean wind speeds and significant wave heights also deviate from each other.And more accurate results can be obtained by estimating the environmental contour lines of the wind and wave and the structural extreme load effects according to the measured data in each direction.

Key words： Copula function wind and wave multiple directions environmental contour line extreme load effect

收稿日期: 2019-10-08 出版日期: 2021-07-28

引用本文:

涂志斌，黄铭枫，楼文娟，李蓓. 基于Copula函数的风浪多方向极限状态曲线[J]. 振动与冲击, 2021, 40(14): 1-9.
TU Zhibin，HUANG Mingfeng，LOU Wenjuan，LI Bei. Dimensional environmental contour lines of the wind and wave based on Copula functions. JOURNAL OF VIBRATION AND SHOCK, 2021, 40(14): 1-9.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2021/V40/I14/1

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