Abstract The paper presents results of an extended study of the model developed earlier by the authors for across-wind response of tall circular chimneys to vortex shedding. A non-dimensional parameter,“fact” is used to suitably decrease the spectral bandwidth of the generalized across-wind load spectrum, implicitly accounting for an increase in load correlation. This paper discusses similarity between the parameter “fact” of authors’ model and the ratio of the aerodynamic damping coefficients, (ka/ka,0) in Vickery’s model, with respect to enhancement of correlation of force/response due to vortex shedding under lock-in condition. However, in Vickery’s model, as recommended in CICIND code, while the variation of (ka/ka,0) with increasing normalized amplitude follows a negative curvature, the corresponding variation of “fact” exhibits a positive curvature. Recent wind tunnel experimental results by Lupi et al., showed a positive curvature for the variation of (ka/ka,0) with increasing normalized amplitude. This lends support for authors’ observation. With a suitable scaling factor, an excellent agreement is found between the authors’ results and Lupi’s experimental results. The suggested method was applied to 27 full scale steel chimney data, referred in Lupi’s paper and the response predictions show a good comparison within ±20% limits with full scale values. The usefulness of the mass damping parameter, ( 2 m e ( ρ D 2 ) η ) for predicting the across-wind response is also discussed.

中文翻译：

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涡激对圆形烟囱的锁定效应的非线性建模

摘要 本文介绍了作者早期开发的模型的扩展研究结果，该模型用于高圆形烟囱对涡流脱落的横向风响应。无量纲参数“事实”用于适当降低广义横风载荷谱的谱带宽，隐含地解释了载荷相关性的增加。本文讨论了作者模型的参数“事实”与 Vickery 模型中气动阻尼系数的比值 (ka/ka,0) 之间的相似性，以增强由于锁定下的涡旋脱落引起的力/响应的相关性。 - 状态。然而，在 Vickery 模型中，正如 CICIND 代码中所推荐的，虽然 (ka/ka,0) 随着归一化幅度的增加而变化遵循负曲率，“事实”的相应变化表现出正曲率。Lupi 等人最近的风洞实验结果表明 (ka/ka,0) 的变化随着归一化幅度的增加呈正曲率。这为作者的观察提供了支持。使用合适的比例因子，作者的结果与 Lupi 的实验结果之间存在极好的一致性。建议的方法应用于 Lupi 的论文中引用的 27 个全尺寸钢烟囱数据，响应预测显示与全尺寸值在 ±20% 范围内的良好比较。还讨论了质量阻尼参数 (2 me ( ρ D 2 ) η ) 对预测横风响应的有用性。0) 随着归一化幅度的增加。这为作者的观察提供了支持。使用合适的比例因子，作者的结果与 Lupi 的实验结果之间存在极好的一致性。建议的方法应用于 Lupi 的论文中引用的 27 个全尺寸钢烟囱数据，响应预测显示与全尺寸值在 ±20% 范围内的良好比较。还讨论了质量阻尼参数 (2 me ( ρ D 2 ) η ) 对预测横风响应的有用性。0) 随着归一化幅度的增加。这为作者的观察提供了支持。使用合适的比例因子，作者的结果与 Lupi 的实验结果之间存在极好的一致性。建议的方法应用于 Lupi 的论文中引用的 27 个全尺寸钢烟囱数据，响应预测显示与全尺寸值在 ±20% 范围内的良好比较。还讨论了质量阻尼参数 (2 me ( ρ D 2 ) η ) 对预测横风响应的有用性。Lupi 的论文中提到，响应预测显示与满量程值在 ±20% 范围内的良好比较。还讨论了质量阻尼参数 (2 me ( ρ D 2 ) η ) 对预测横风响应的有用性。Lupi 的论文中提到，响应预测显示与满量程值在 ±20% 范围内的良好比较。还讨论了质量阻尼参数 (2 me ( ρ D 2 ) η ) 对预测横风响应的有用性。