工程科学学报，第39卷，第9期：1453-1462,2017年9月 Chinese Journal of Engineering,Vol.39,No.9:1453-1462,September 2017 D0l:10.13374/j.issn2095-9389.2017.09.020:htp:/journals..usth.edu.cn 全风向来流非高斯风场风机疲劳寿命可靠性分析 双 妙12)，宋波12) 1)北京科技大学土木与资源工程学院，北京1000832)北京科技大学强震区轨道交通工程抗震研究北京市国际科技合作基地，北京 100083 ☒通信作者，E-mail:b20140020@x.usth.edu.cm 摘要在Hermite矩模型基础上，根据Kaimal谱生成某典型风机结构正常风速条件下，三种不同概率特性风场（高斯、非高 斯硬化和软化)，在考虑来流风向和平均风速联合概率密度条件下，以塔架基础连接处为例，对风机进行疲劳寿命可靠性分 析.由叶片的气动模型和多体动力，计算出风机的动力响应，并对响应的时域和频域特性进行分析.基于线性损伤累积理论 和Pis公式，对来流全风向条件下的裂纹形成寿命和裂纹扩展寿命进行了详细讨论.结果表明，裂纹形成寿命对风荷载的非 高斯性较为敏感，而裂纹扩展寿命对风荷载的非高斯性并不敏感，需要考虑风荷载的非高斯性对风机结构疲劳损伤的影响 此外，在考虑全风向来流条件下，疲劳裂纹形成和扩展阶段的失效位置相同，均在主导风向上 关键词全风向；非高斯性：雨流计数法：裂纹形成；裂纹扩展 分类号TU311.3 Reliability analysis of the fatigue life of wind turbines under a non-Gaussian wind field with a full-direction inflow SHUANG Miao)SONG Bo'2) 1)School of Civil and Resource Engineering,University of Science and Technology Beijing,Beijing 100083,China 2)Beijing International Cooperation Base for Science and Technology-Aseismic Research of the Rail Transit Engineering in the Strong Motion Area,Uni- versity of Science and Technology Beijing,Beijing 100083,China Corresponding author,E-mail:b20140020@xs.ustb.edu.en ABSTRACT Using the Hermite moment model,three types of wind fields with different probability characteristics,namely the Gaussian,hardening non-Gaussian,and softening non-Gaussian processes,were generated via the Kaimal spectrum for a typical wind turbine under operational conditions.Reliability analysis of the fatigue life of the wind turbine was performed by taking tower base con- nections as an example with consideration of the joint probability density distribution of the wind direction and mean wind speed.The dynamic response was calculated by an aerodynamic model of the blade and multi-body dynamics,and the time-and frequency-domain characteristics of the response were analyzed.Using linear damage accumulation theory and the Paris equation,the fatigue crack initia- tion life and crack growth life of the turbine were discussed in detail.Fatigue estimation shows that the crack initiation life of the tur- bine is more sensitive to non-Gaussian winds,whereas its crack propagation life is less sensitive to the non-Gaussian characteristics of wind load.The influence of the non-Gaussian characteristics of wind load on the fatigue damage of the wind turbine should be consid- ered.In terms of the full-direction inflow,the failure positions of the crack initiation and propagation stages are identical and in the dominant wind direction. KEY WORDS full-direction inflow;non-Gaussian characteristic;rain-flow counting method;crack initiation;crack propagation 收稿日期：2017-01-11 基金项目：国家自然科学基金资助项目(51178045)：北京科技大学与台北科技大学专题联合研究计划资助项目(TW201601):高校2016年度 引智项目资助项目(110000201420160126)工程科学学报,第 39 卷,第 9 期:1453鄄鄄1462,2017 年 9 月 Chinese Journal of Engineering, Vol. 39, No. 9: 1453鄄鄄1462, September 2017 DOI: 10. 13374 / j. issn2095鄄鄄9389. 2017. 09. 020; http: / / journals. ustb. edu. cn 全风向来流非高斯风场风机疲劳寿命可靠性分析 双 妙1,2) 苣 , 宋 波1,2) 1) 北京科技大学土木与资源工程学院, 北京 100083 2) 北京科技大学强震区轨道交通工程抗震研究北京市国际科技合作基地, 北京 100083 苣通信作者, E鄄mail: b20140020@ xs. ustb. edu. cn 收稿日期: 2017鄄鄄01鄄鄄11 基金项目: 国家自然科学基金资助项目(51178045);北京科技大学与台北科技大学专题联合研究计划资助项目(TW201601);高校 2016 年度 引智项目资助项目(110000201420160126) 摘 要 在 Hermite 矩模型基础上,根据 Kaimal 谱生成某典型风机结构正常风速条件下,三种不同概率特性风场(高斯、非高 斯硬化和软化),在考虑来流风向和平均风速联合概率密度条件下,以塔架基础连接处为例,对风机进行疲劳寿命可靠性分 析. 由叶片的气动模型和多体动力,计算出风机的动力响应,并对响应的时域和频域特性进行分析. 基于线性损伤累积理论 和 Paris 公式,对来流全风向条件下的裂纹形成寿命和裂纹扩展寿命进行了详细讨论. 结果表明,裂纹形成寿命对风荷载的非 高斯性较为敏感,而裂纹扩展寿命对风荷载的非高斯性并不敏感,需要考虑风荷载的非高斯性对风机结构疲劳损伤的影响. 此外,在考虑全风向来流条件下,疲劳裂纹形成和扩展阶段的失效位置相同,均在主导风向上. 关键词 全风向; 非高斯性; 雨流计数法; 裂纹形成; 裂纹扩展 分类号 TU311郾 3 Reliability analysis of the fatigue life of wind turbines under a non鄄Gaussian wind field with a full鄄direction inflow SHUANG Miao 1,2) 苣 , SONG Bo 1,2) 1) School of Civil and Resource Engineering, University of Science and Technology Beijing, Beijing 100083, China 2) Beijing International Cooperation Base for Science and Technology鄄Aseismic Research of the Rail Transit Engineering in the Strong Motion Area, Uni鄄 versity of Science and Technology Beijing, Beijing 100083, China 苣Corresponding author, E鄄mail: b20140020@ xs. ustb. edu. cn ABSTRACT Using the Hermite moment model, three types of wind fields with different probability characteristics, namely the Gaussian, hardening non鄄Gaussian, and softening non鄄Gaussian processes, were generated via the Kaimal spectrum for a typical wind turbine under operational conditions. Reliability analysis of the fatigue life of the wind turbine was performed by taking tower base con鄄 nections as an example with consideration of the joint probability density distribution of the wind direction and mean wind speed. The dynamic response was calculated by an aerodynamic model of the blade and multi鄄body dynamics, and the time鄄 and frequency鄄domain characteristics of the response were analyzed. Using linear damage accumulation theory and the Paris equation, the fatigue crack initia鄄 tion life and crack growth life of the turbine were discussed in detail. Fatigue estimation shows that the crack initiation life of the tur鄄 bine is more sensitive to non鄄Gaussian winds, whereas its crack propagation life is less sensitive to the non鄄Gaussian characteristics of wind load. The influence of the non鄄Gaussian characteristics of wind load on the fatigue damage of the wind turbine should be consid鄄 ered. In terms of the full鄄direction inflow, the failure positions of the crack initiation and propagation stages are identical and in the dominant wind direction. KEY WORDS full鄄direction inflow; non鄄Gaussian characteristic; rain鄄flow counting method; crack initiation; crack propagation