A simplified analytical formula for the coefficient of 3rd-order Hermite moment model and its application

IF 4.2 2区 工程技术 Q1 ENGINEERING, CIVIL Journal of Wind Engineering and Industrial Aerodynamics Pub Date : 2024-09-12 DOI:10.1016/j.jweia.2024.105887
Weihu Chen , Yuji Tian
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Abstract

Based on the 3rd-order softened Hermite nonlinear equations, a new simplified formula of the Hermite moment model is proposed. According to the wind tunnel pressure test data of a flat roof, the new and existing simplified formulas are used to calculate the Hermite parameters and peak factors respectively. The calculation accuracies of different simplified formulas are compared and analyzed to verify the applicability of the new simplified formula. The results show that the new simplified formula has higher accuracy for the peak factor calculation of high-order softened time histories, and the relative error is kept within 15%. And the applicability for mild non-Gaussian time histories is relatively better. For low-order softened time histories, the calculation errors of the new simplified formula are relatively large for the Hermite parameters, but the calculation accuracy of the peak factor is kept within the applicable range. Specifically, the calculation errors of the negative peak factors distributed only in the 1st-order softened applicable range are less than 20%, and the calculation errors of the negative peak factors distributed only in the 2nd-order softened applicable range are less than 15%. Finally, the new simplified formula shows good applicability to the extreme value analysis of the high-order and low-order softened wind pressure time histories.

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三阶赫米特矩模型系数的简化解析公式及其应用
在三阶软化赫米特非线性方程的基础上,提出了赫米特力矩模型的新简化公式。根据平屋顶风洞压力测试数据,分别使用新简化公式和现有简化公式计算赫米特参数和峰值系数。对比分析了不同简化公式的计算精度,以验证新简化公式的适用性。结果表明,新简化公式对高阶软化时间历程的峰值因子计算精度更高,相对误差控制在 15%以内。对于轻度非高斯时间历程的适用性也相对较好。对于低阶软化时间历程,新简化公式对 Hermite 参数的计算误差相对较大,但峰值因数的计算精度保持在适用范围内。具体来说,仅分布在 1 阶软化适用范围内的负峰值因子的计算误差小于 20%,仅分布在 2 阶软化适用范围内的负峰值因子的计算误差小于 15%。最后,新的简化公式在高阶和低阶软化风压时间历程的极值分析中显示出良好的适用性。
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来源期刊
CiteScore
8.90
自引率
22.90%
发文量
306
审稿时长
4.4 months
期刊介绍: The objective of the journal is to provide a means for the publication and interchange of information, on an international basis, on all those aspects of wind engineering that are included in the activities of the International Association for Wind Engineering http://www.iawe.org/. These are: social and economic impact of wind effects; wind characteristics and structure, local wind environments, wind loads and structural response, diffusion, pollutant dispersion and matter transport, wind effects on building heat loss and ventilation, wind effects on transport systems, aerodynamic aspects of wind energy generation, and codification of wind effects. Papers on these subjects describing full-scale measurements, wind-tunnel simulation studies, computational or theoretical methods are published, as well as papers dealing with the development of techniques and apparatus for wind engineering experiments.
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