桥梁断面范德波尔振子涡激气动力模型参数非线性化的能量原理
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U441+.2

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海南省自然科学基金创新团队项目(520CXTD433);国家自然科学基金重点资助项目(51938012);国家自然科学基金地区基金资助项目(52068020,52268073)


Energy mechanism used for non-linearization of vortex-induced aerodynamic loading model of bridge deck sections
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    摘要:

    采用范德波尔振子类涡激气动力模型,通过能量平衡原理,推导了涡激共振过程中结构的振幅增量、初始气动阻尼、非线性气动阻尼三者之间的基本关系,进而得出模型中气动力参数 ε 与振幅 yT 之间关系的识别原理。基于某扁平箱梁桥梁断面的节段模型涡振试验结果,对范德波尔类涡激气动力模型参数随振幅的演变关系进行了识别。结果表明,在涡激共振锁定区间内,随着振幅的增加,参数 ε 呈单调下降的趋势。与之相反的是,参数 ε 形成的非线性气动阻尼比却呈非线性增长的规律。当参数 ε 相关的非线性气动阻尼、初始气动阻尼、结构阻尼三者之和为零时,结构达到稳定的涡振极限环状态。研究表明:初始气动阻尼特性决定了结构能否起振而形成涡振锁定区间;识别出模型参数随振幅的变化关系后,高于试验阻尼的结构涡振响应具有可预测性。

    Abstract:

    Concerned with the Van der Pol type model of vortex-induced aerodynamic loading, fundamental relations among the structural motion amplitude, initial aerodynamic damping, amplitude-related aerodynamic damping are deduced according to the energy balance principle. Further, the basic identification mechanism is obtained in terms of the relation between parameter ε and motion amplitude yT. Based on experimental results of vortex-induced response of a sectional model, which has a typical flat box girder configuration, the relations between the model parameters and the structural motion amplitude are identified. The results indicate that, within the vortex-induced lock-in range,ε decreases almost monotonously as the structural amplitude yT increases. On the contrary, the effective damping induced by the ε-related term increases as yT increases. The structure reaches a steady limit-cycleoscillation state when the three damping components, including the structural,ε-related and initial aerodynamic, neutralize completely. The research of this work shows the initial aerodynamic damping properties determine if vortex-induced resonance is able to be excited and form a lock-in range. Once the relation between the model parameter and the structural amplitude has been identified, the vortex-induced responses of structural damping ratios less than the one used for identification become predictable from the known parameter-amplitude relation.

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陈泓欣,张志田,曾加东,郄 凯.桥梁断面范德波尔振子涡激气动力模型参数非线性化的能量原理[J].振动工程学报,2023,36(5):1422~1429.[CHEN Hong-xin, ZHANG Zhi-tian, ZENG Jia-dong, QIE Kai. Energy mechanism used for non-linearization of vortex-induced aerodynamic loading model of bridge deck sections[J]. Journal of Vibration Engineering,2023,36(5):1422~1429.]

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  • 在线发布日期: 2023-11-23
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