The tuned mass damper inerter (TMDI) is a linear passive dynamic vibration absorber widely considered in the literature to mitigate the motion of dynamically excited primary structures. Previous studies focused on optimal TMDI tuning approaches and connectivity arrangements to improve motion control efficiency for some given primary structure. This paper investigates the influence of the elastic and mass properties of the primary structure to the TMDI motion control performance. This is pursued through an innovative parametric study involving a wide range of tapered beam-like cantilevered primary structures with different continuously varying flexural rigidity and mass distributions equipped with TMDIs optimally tuned for resonant harmonic and for white noise excitations. Optimal TMDI tuning and performance assessment are expedited through a novel simplified two-degree-of-freedom dynamic model, which accounts for the properties of the primary structure. It is found that reduced free-end displacement and TMDI stroke are achieved for primary structures in which the ratio of flexural rigidity over mass decreases faster with height resulting in vibration modal shapes with higher convexity. The latter is quantified though the average modal curvature shown to be well correlated with TMDI motion control improvement. It is concluded that judicial shaping of the primary structure extends the applicability of the TMDI to structures where connecting the inerter away from the free end is practically challenging while contains the magnitude of the inerter and damping forces exerted to the primary structure. Therefore, this study paves the way towards combining optimal TMDI tuning with primary structure design for improved performance to dynamic loads.

中文翻译：

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通过主结构成形增强调谐质量阻尼器的运动控制性能

调谐质量阻尼器 (TMDI) 是一种线性被动动态吸振器，在文献中被广泛考虑，以减轻动态激发的主要结构的运动。以前的研究侧重于优化 TMDI 调整方法和连接安排，以提高某些给定主要结构的运动控制效率。本文研究了主要结构的弹性和质量特性对TMDI运动控制性能的影响。这是通过一项创新的参数研究来实现的，该研究涉及各种锥形梁状悬臂主要结构，这些主要结构具有不同的连续变化的弯曲刚度和质量分布，这些结构配备了针对谐振谐波和白噪声激励进行优化调整的 TMDI。最佳 TMDI 调整和性能评估通过一种新颖的简化二自由度动态模型加速，该模型考虑了初级结构的特性。研究发现，主结构的自由端位移和 TMDI 行程减少，其中抗弯刚度与质量的比率随着高度的增加而下降得更快，从而导致振动模态形状具有更高的凸度。尽管平均模态曲率显示与 TMDI 运动控制改进密切相关，但后者被量化。得出的结论是，主要结构的司法成形将 TMDI 的适用性扩展到结构中，其中将惰轮与自由端连接起来实际上具有挑战性，同时包含施加到主要结构的惰轮和阻尼力的大小。所以，