基于Copula函数的风浪多方向极限状态曲线

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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

Received: 08 October 2019 Published: 28 July 2021

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	Articles by authors
	TU Zhibin
	HUANG Mingfeng
	LOU Wenjuan
	LI Bei

Cite this article:

TU Zhibin,HUANG Mingfeng,LOU Wenjuan, et al. Dimensional environmental contour lines of the wind and wave based on Copula functions[J]. JOURNAL OF VIBRATION AND SHOCK, 2021, 40(14): 1-9.

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http://jvs.sjtu.edu.cn/EN/ OR http://jvs.sjtu.edu.cn/EN/Y2021/V40/I14/1

［1］WINTERSTEIN S R, UDE T C, CORNELL C A, et al.Environmental parameters for extreme response: inverse FORM with omission factors［C］// 6th International Conference on Structural Safety and Reliability.Innsbruck: ICOSSAR, 1993.

［2］SARANYASOONTORN K, MANUEL L.Design loads for wind turbines using the environmental contour method ［J］.Journal of Solar Energy Engineering, 2006,128(4): 554-561.

［3］涂志斌, 黄铭枫, 楼文娟.基于EC法的风浪联合作用主塔-基础体系极限荷载效应［J］.振动与冲击, 2017,36(19): 133-142.
TU Zhibin, HUANG Mingfeng, LOU Wenjuan.Extreme load effects on a bridge tower-basement system under the joint action of wind and wave based on the EC method［J］.Journal of Vibration and Shock, 2017,36(19): 133-142.

［4］VAN DE LINDT J W, NIEDZWECKI J M.Environmental contour analysis in earthquake engineering［J］.Engineering Structures, 2000,22(12): 1661-1676.

［5］WINTERSTEIN S R, JHA A K, KUMAR S.Reliability of floating structures: extreme response and load factor design［J］.Journal of Waterway, Port, Coastal, and Ocean Engineering, 1999,125(4): 163-169.

［6］AGARWAL P, MANUEL L.Simulation of offshore wind turbine response for long-term extreme load prediction［J］.Engineering Structures, 2009,31(10): 2236-2246.

［7］VALAMANESH V, MYERS A T, ARWADE S R.Multivariate analysis of extreme metocean conditions for offshore wind turbines［J］.Structural Safety, 2015,55: 60-69.

［8］HAVER S, WINTERSTEIN S R.Environmental contour lines: a method for estimating long term extremes by a short term analysis ［J］.Transactions of the Society of Naval Architects and Marine Engineers, 2009,116: 116-127.

［9］董胜, 丛锦松, 余海静.涠洲岛海域年极值风浪联合设计参数估计［J］.中国海洋大学学报(自然科学版), 2006,36(3): 489-492.
DONG Sheng, CONG Jinsong, YU Haijing.Design parameter estimation of joint extreme significant wave height and wind speed at Weizhoudao observation station［J］.Periodical of Ocean University of China, 2006,36(3): 489-492.

［10］段忠东, 周道成, 肖仪清, 等.极值风浪联合概率模型参数估计的简化方法［J］.哈尔滨建筑大学学报, 2002,35(6): 1-5.
DUAN Zhongdong, ZHOU Daocheng, XIAO Yiqing, et al.Simplified parameter estimation of joint distribution of extreme wind speed and wave height based on multivariate extremal theory［J］.Journal of Harbin University of Civil Engineering and Architecture, 2002,35(6): 1-5.

［11］SAGRILO L V S, NAESS A, DORIA A S.On the long-term response of marine structures［J］.Applied Ocean Research, 2011,33(3): 208-214.

［12］SILVA-GONZLEZ F, HEREDIA-ZAVONI E, MONTES-ITURRIZAGA R.Development of environmental contours using Nataf distribution model［J］.Ocean Engineering, 2013,58: 27-34.

［13］陶山山.多维最大熵模型及其在海岸及海洋工程中的应用［D］.青岛:中国海洋大学, 2013.

［14］董胜, 翟金金, 陶山山.基于Archimedean Copula函数的风浪联合统计分析［J］.中国海洋大学学报, 2014,44(10): 134-141.
DONG Sheng, ZHAI Jinjin, TAO Shanshan.Combined statistical analysis of wind and wave based on Archimedean Copula function［J］.Periodical of Ocean University of China, 2014,44(10): 134-141.

［15］YANG X C, ZHANG Q H.Joint probability distribution of winds and waves from wave simulation of 20 years (1989—2008) in Behai Bay ［J］.Water Science and Engineering, 2013,6(3): 296-307.

［16］HUSEBY A B, VANEM E, NATVIG B.A new approach to environmental contours for ocean engineering applications based on direct Monte Carlo simulations［J］.Ocean Engineering, 2013,60: 124-135.

［17］HUSEBY A B, VANEM E, NATVIG B.Alternative environmental contours for structural reliability analysis［J］.Structural Safety, 2015,54: 32-45.

［18］VANEM E, BITNER-GREGERSEN E M.Alternative environmental contours for marine structural design: a comparison study［J］.Journal of Offshore Mechanics and Arctic Engineering, 2015,137(5): 051601.

［19］Wind turbine-part 3: design requirements for offshore wind turbines: IEC 61400-3［S］.Geneva: International Electrotechnical Commission, 2009.

［20］Design of offshore wind turbine structures: DNV-OS-J101［S］.Oslo: Det Norske Veritas, 2010.

［21］ZHANG Y, BEER M, QUEK S T.Long-term performance assessment and design of offshore structures［J］.Computers and Structures, 2015,154: 101-115.

［22］季新然, 邹丽, 任智源, 等.多向不规则波浪作用下群墩结构上爬高的计算研究［J］.海洋学报, 2019,41(3): 39-47.
JI Xinran, ZOU Li, REN Zhiyuan, et al.Numerical research on multidirectional random wave run-up on array of cylinders［J］.Haiyang Xuebao, 2019,41(3): 39-47.

［23］吴家鸣, 刘昊宇.不同浪向的波浪载荷作用下导管架平台主桩强度分析［J］.海洋技术学报, 2014,33(3): 85-93.
WU Jiaming, LIU Haoyu.Strength analysis of main piles of jacket platform under different wave directions［J］.Journal of Ocean Technology, 2014,33(3): 85-93.

［24］全涌, 姚博, 顾明.高层建筑结构抗风可靠性研究进展［J］.同济大学学报(自然科学版), 2015,43(6): 807-815.
QUAN Yong, YAO Bo, GU Ming.Research process of wind reliability of high-rise buildings［J］.Journal of Tongji University (Natural Science), 2015,43(6): 807-815.

［25］ZHANG X X, CHEN X Z.Influence of dependence of directional extreme wind speeds on wind load effects with various mean recurrence intervals［J］.Journal of Wind Engineering and Industrial Aerodynamics, 2016,148: 45-56.

［26］楼文娟, 段志勇, 庄庆华.极值风速风向的联合概率密度函数［J］.浙江大学学报(工学版), 2017,51(6): 1057-1063.
LOU Wenjuan, DUAN Zhiyong, ZHUANG Qinghua.Joint probability density function of extreme wind speed and direction［J］.Journal of Zhejiang University (Engineering Science), 2017,51(6): 1057-1063.

［27］吴玖荣, 郑庆星, 傅继阳,等.高层建筑基于风速风向联合概率分布作用的风致响应可靠度分析［J］.建筑结构学报, 2017,38(10): 88-94.
WU Jiurong ZHENG Qingxing, FU Jiyang, et al.Reliability analysis of wind-induced response of high-rise buildings with effect of joint distribution of wind speed and direction［J］.Journal of Building Structures, 2017,38(10): 88-94.

［28］TRIVEDI P K, ZIMMER D M.Copula modeling: an introduction for practitioners［M］//Foundations and Trends in Econometrics.Hanover: Now Publishers, 2007.

［29］SUNDARESAN A, VARSHNEY P K.Location estimation of a random signal source based on correlated sensor observations［J］.IEEE Transactions on Signal Processing, 2011,59(2): 787-799.

［30］MONTES-ITURRIZAGA R, HEREDIA-ZAVONI E.Environmental contours using copulas［J］.Applied Ocean Research, 2015,52: 125-139.

［31］GENEST C, RIVEST L P.Statistical inference procedures for bivariate Archimedean copulas［J］.Journal of the American Statistical Association, 1993,88(423): 1034-1043.

［32］LIU D F, WEN S Q, WANG L P.Poisson-Gumbel mixed compound distribution and its application［J］.Chinese Science Bulletin, 2002,47(22): 1901-1906.