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Damping mechanisms and models in structural dynamics

机译:结构动力学中的阻尼机制和模型

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摘要

Several aspects of damping models for dynamic analysis of structures are investigated. First, the causality condition for structural response is used to identify rules for use of complex-valued frequency dependent material models, illustrated by the shortcomings of the classic hysteretic model. Basic properties of fractional derivatives and their use in the representation of damping are then reviewed, and it is demonstrated that the frequency dependent fractional damping force describes a circle - depending on damping exponent - in the complex plane. Finally, an asymptotic result for the damping obtained in flexible systems like cables and beams by isolated dampers is derived, and it is demonstrated that also this case leads to circles in the complex plane for viscous as well as for fractional damper properties.
机译:研究了用于结构动力分析的阻尼模型的几个方面。首先,结构响应的因果条件用于确定使用复数值频率相关材料模型的规则,经典滞回模型的缺点说明了这一点。然后回顾了分数阶导数的基本特性及其在阻尼表示中的应用,并证明了与频率相关的分数阻尼力在复平面中描述了一个圆-取决于阻尼指数。最终,得出了通过隔离阻尼器在诸如电缆和梁之类的柔性系统中获得的阻尼的渐近结果,并证明了这种情况也导致了复平面上的粘性和分数阻尼器特性的圆。

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