Abstract This study presents a Finite Element (FE) model updating methodology of a piping system and demonstrates vibration attenuation at its resonant frequencies using tuned local resonators distributed along its length. An experimental laboratory scaled version of a prototype piping system inspired from existing piping structures in the oil and gas industry is assembled to study its dynamic behavior under laboratory conditions. A dynamic structural similitude analysis is carried out to derive scaling factors for frequencies and mode shapes between the prototype and scaled piping systems. These scaling factors are verified with the aid of both detailed and reduced-order FE models. Experimental natural frequencies and mode shapes are obtained based on the impact hammer modal test and the forced vibration sine sweep test and then compared with numerical results. Discrepancies between measured and computed results due to uncertainties in the FE model necessitate the use of an FE model updating technique to minimize the error between the predicted and the measured response. This updating strategy is carried out by iteratively adjusting parameters associated with the assumed boundary conditions until a relatively faithful computational model that can replicate the actual behavior of the structure is obtained. The updated reduced order model is then used to investigate the creation of locally resonant bandgaps centered at the first three resonant frequencies of the structure by embedding tuned resonant cantilever beams with tip masses along the length of the piping system. Using a harmonic response analysis, it is shown that an attenuation is obtained at all considered target frequencies with distinct edge frequencies appearing in the frequency response for the third mode of vibration.

中文翻译：

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通过局部共振带隙形成对比例管道系统和振动衰减的模型更新

摘要 本研究提出了管道系统的有限元 (FE) 模型更新方法，并使用沿其长度分布的调谐局部谐振器演示了其谐振频率下的振动衰减。受石油和天然气行业现有管道结构启发的原型管道系统的实验实验室规模版本被组装起来，以研究其在实验室条件下的动态行为。执行动态结构相似性分析以推导出原型和按比例缩放的管道系统之间的频率和模式形状的比例因子。这些比例因子在详细和降阶有限元模型的帮助下得到验证。基于冲击锤模态试验和受迫振动正弦扫描试验获得了实验固有频率和振型，并与数值结果进行了比较。由于有限元模型中的不确定性，测量和计算结果之间的差异需要使用有限元模型更新技术来最小化预测响应和测量响应之间的误差。这种更新策略是通过迭代调整与假定边界条件相关的参数来执行的，直到获得可以复制结构实际行为的相对忠实的计算模型。然后，通过沿管道系统的长度嵌入具有尖端质量的调谐谐振悬臂梁，使用更新的降阶模型来研究以结构的前三个谐振频率为中心的局部谐振带隙的创建。使用谐波响应分析，表明在所有考虑的目标频率处获得衰减，并且在第三振动模式的频率响应中出现明显的边缘频率。