敷设约束阻尼层的工字梁振动特性研究
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U441+.3

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国家自然科学基金资助项目(51878565,52278463,52202422)


Vibration characteristics of I-beam with constrained damping layer
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    摘要:

    本文提出了一种计算带约束阻尼层梁振动响应的方法。以工字梁为研究对象,开展了室内振动试验,测得了 不同位置的振动响应。并基于有限元法同步建立了数值仿真模型,利用模态应变能法准确计算了结构的自振频率 和模态损耗因子。基于上述结果,利用模态叠加法进行谐响应分析,得到了约束阻尼层工字梁的振动响应结果。将 振动响应的实测值与仿真值进行对比,验证了模型的准确性。分析了设计参数(阻尼层厚度、约束层厚度)对构件自 振频率、模态损耗因子及加速度总振级的影响。研究结果表明:各板件的振动响应有着相似的变化规律,腹板加速 度总振级最大,底板次之,顶板最小;总体上阻尼层厚度对工字梁前 5 阶自振频率影响不大,而随着约束层厚度的增 大,构件前 5 阶自振频率先减小后增大;增大阻尼层厚度和约束层厚度都能持续增大构件的模态损耗因子,进而有 效降低加速度总振级,且对腹板的减振效果好于顶板和底板。

    Abstract:

    In this paper, a method for calculating the vibration response of beams damped with constrained damping layer is present? ed. The indoor vibration experiment of I-beam was carried out, and the vibration response at different positions was measured. A numerical simulation model was established simultaneously based on the finite element method, and the natural frequencies and modal loss factors of I-beam were calculated accurately by using the modal strain energy method. Based on the above results, the modal superposition method was used for the harmonic response analysis, and the vibration response of the I-beam damped with constrained damping layer was obtained. The accuracy of the model was verified by comparing the measured and simulated results. The effects of design parameters (damping layer thickness and constrained layer thickness) on the natural frequency, modal loss factor and overall vibration acceleration level were analyzed. The results show that the vibration response of each component has a similar change rule. The overall vibration acceleration level of web is the largest, followed by the bottom, and the roof is the small? est. In general, the thickness of damping layer has little effect on the first 5 order natural frequencies of I-beam, but with the in? crease of the thickness of constrained layer, the first 5 order natural frequencies of I-beam decrease first and then increase. Increas? ing the thickness of damping layer and constrained layer can continuously improve the modal loss factor of I-beam, thereby reduc? ing the overall vibration acceleration level effectively, and the vibration reduction effect of web is better than that of roof and bot? tom.

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李小珍,李昊卿,蒋希昊,毕 然.敷设约束阻尼层的工字梁振动特性研究[J].振动工程学报,2024,37(8):1320~1329.[LI Xiao-zhen, LI Hao-qing, JIANG Xi-hao, BI Ran. Vibration characteristics of I-beam with constrained damping layer[J]. Journal of Vibration Engineering,2024,37(8):1320~1329.]

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