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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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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:研究了用于动态分析结构的阻尼模型的几个方面。首先,用于结构响应的因果关系条件用于识别使用经典滞后模型的缺点来识别使用复值频率依赖性材料模型的规则。然后综述分数衍生物的基本性质及其在阻尼的表示中的使用,并证明频率相关的分数阻尼力描述圆 - 取决于阻尼指数 - 在复杂的平面中。最后,推导出在柔性系统中获得的柔性系统中获得的阻尼的渐近结果,并通过隔离阻尼器的梁获得,并且还证明了这种情况,该情况也导致复杂平面的圆形,用于粘性以及分数阻尼器。

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