基于矩的传递函数模型的“不兼容”非高斯风压过程模拟研究  

Simulation of“incompatible”non-Gaussian wind pressures based on a moment-based translation function model

作　　者：吴凤波 姜言 彭留留 吴波 罗颖 WU Fengbo;JIANG Yan;PENG Liuliu;WU Bo;LUO Ying(State Key Laboratory of Mountain Bridge and Tunnel Engineering,Chongqing Jiaotong University,Chongqing 400074,China;CET-College of Engineering and Technology,Southwest University,Chongqing 400700,China;School of Civil Engineering,Chongqing University,Chongqing 400044,China;School of Civil Engineering,Changsha University of Science and Technology,Changsha 410015,China)

机构地区：[1]重庆交通大学省部共建山区桥梁及隧道工程国家重点实验室,重庆400074 [2]西南大学工程技术学院,重庆400700 [3]重庆大学土木工程学院,重庆400044 [4]长沙理工大学土木工程学院,长沙410015

出　　处：《振动与冲击》2022年第24期142-149,共8页Journal of Vibration and Shock

基　　金：国家自然科学基金(51908074);重庆市自然科学基金面上项目(cstc2021jcyj-msxmX1141;CSTB2022NSCQ-MSX1349);重庆市教育委员会科学技术研究项目(KJQN202200729)。

摘　　要：非高斯风压的准确模拟对于建筑结构抗风设计非常重要。由于简便性,基于矩的Hermite多项式模型(HPM)和Johnson转换模型(JTM)常用于非高斯风压模拟。在实际模拟中,由两种模型表示的概率分布与非高斯风压目标功率谱可能出现“不兼容”。现阶段对于HPM和JTM出现不兼容的难易程度差异尚不明确,两种模型出现不兼容情况时模拟“不兼容”非高斯风压的效果亦不清楚。基于此,该文章系统全面地研究了HPM和JTM出现不兼容的难易程度和模拟“不兼容”非高斯风压的效果。首先,介绍了基于HPM和JTM模拟“不兼容”非高斯风压的方法;其次,从理论上对比了两个模型出现不兼容情况的异同;最后,基于数值案例系统对比和评估了两种模型模拟“不兼容”非高斯风压的效果。结果表明:随着偏度增加,基于HPM和JTM的非高斯模拟更易出现不兼容;JTM对“不兼容”非高斯风压的模拟效果稍好于HPM。Accurate simulation of non-Gaussian wind pressure is very important for wind-resistant design of building structures.Due to simplicity,the moment-based Hermite polynomial model(HPM)and the Johnson transformation model(JTM)are widely used for the non-Gaussian wind pressure simulation.In actual simulation,the probability distribution represented by the two models may be“incompatible”with the power spectrum of the target non-Gaussian wind pressure.Currently,the difficulty of the incompatibility involved in the two models and the performances of the two models in the simulation of the“incompatible”non-Gaussian wind pressure are unclear.Thus,this study systematically studies the degree of difficulty of incompatibility occurs in HPM and JTM,and the performances of the two models in the simulation for“incompatible”non-Gaussian wind pressure.Firstly,the method of simulating“incompatible”non-Gaussian wind pressure based on HPM and JTM was introduced;secondly,the similarities and differences of the incompatibility between the two models were theoretically compared;finally,the performances of simulating the incompatible non-Gaussian wind pressures by the two models were systematically evaluated and compared using a series of numerical cases.Results show that non-Gaussian simulations based on HPM and JTM are more likely to be incompatible as the skewness increases;the performance of JTM in the“incompatible”non-Gaussian processes simulation is slightly better than that of HPM.

关 键 词：结构风工程 非高斯风压模拟 Hermite多项式模型(HPM) Johnson转换模型(JTM) “不兼容”非高斯风压 

分 类 号：TU312.1[建筑科学—结构工程]