Abstract Dynamic vibration absorbers (DVAs) and tuned mass-dampers (TVAs) have wide-spread applications in the aerospace industry, the automotive sector, and in civil engineering structures. There are numerous designs of active and passive vibration attenuators or absorbers that isolate structural vibrations at or around the desired frequency. All these design approaches are fundamentally different ways to modify and tune the placement of the resonant frequencies of the host structure. The current work presents a novel method to passively attenuate vibration over a broad frequency bandwidth in the presence of uncertainty. An array of linear oscillators, also referred to as subordinate oscillator arrays (SOAs), are attached to a two-degrees-of-freedom structure to produce an attenuated broadband frequency response around a target frequency. SOAs can also be interpreted as an array of DVAs and in some categories, they can be considered as an approach to meta-structures. Another objective of the current work is to develop a hands-on approach to extend classroom teaching of vibration-attenuation using SOAs made out of fettuccine strands and modeling clay. The frequencies of the oscillators in the array are tuned by varying the length of each strand and the mass of the modeling clay attached to its tip. Uncertainty in dynamic properties of such oscillators often results in mistuned SOAs with non-uniform frequency response function. Therefore, designing and testing fettuccine-based SOAs allows students to handle cases when structural uncertainties arise in engineering systems. Additionally, some of the work in the field of meta-structures can be modeled and represented by SOAs and this will provide a straight forward way to teach students some of these contemporary concepts.

中文翻译：

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使用从属振荡器阵列通过意大利细面条将单频振动吸收扩展到宽带衰减的教学

摘要 动态减振器 (DVA) 和调谐质量阻尼器 (TVA) 在航空航天工业、汽车行业和土木工程结构中具有广泛的应用。有许多主动和被动振动衰减器或吸收器的设计，它们可以隔离处于或接近所需频率的结构振动。所有这些设计方法都是修改和调整主体结构谐振频率位置的根本不同的方法。当前的工作提出了一种在存在不确定性的情况下在宽频带宽上被动衰减振动的新方法。线性振荡器阵列，也称为从属振荡器阵列 (SOA)，连接到二自由度结构以在目标频率附近产生衰减的宽带频率响应。SOA 也可以解释为一组 DVA，在某些类别中，它们可以被视为元结构的一种方法。当前工作的另一个目标是开发一种动手方法，使用由意大利细面条和造型粘土制成的 SOA 来扩展振动衰减的课堂教学。阵列中振荡器的频率通过改变每条线的长度和附着在其尖端的造型粘土的质量来调整。此类振荡器动态特性的不确定性通常会导致具有非均匀频率响应函数的 SOA 失调。因此，设计和测试基于意大利细面条的 SOA 可以让学生处理工程系统中出现结构不确定性的情况。此外，