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,本文系统全面地研究了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,本文介绍了基于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。
Abstract
Accurate simulation of the non-Gaussian wind pressure is very important for wind-resistant design of building structures. Due to its simplicity, moment-based Hermite polynomial model (HPM) and Johnson transformation model (JTM) are widely used for the non-Gaussian wind pressure simulation. In the 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 is introduced; secondly, the similarities and differences of the incompatibility between the two models are 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 showed 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;Johnson转换模型;&ldquo /
不兼容&rdquo /
非高斯风压.
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Key words
Structural wind engineering /
Simulation of the non-Gaussian wind pressures /
Hermite polynomial model /
Johnson transformation model /
Incompatible non-Gaussian wind pressures.
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