A concrete beam is a basic element for many applications in architectural engineering, and its vibration property plays an important role in safety and life-span. Previous vibration models were based on continuum beam theories, which could not take into account the porous property of the concrete beam. This paper adopts a two-scale fractal vibration model, and its low frequency property is revealed. This new finding can explain the vibration attenuation and vibration absorption of the porous concrete, and the present theory sheds a new light on the concrete design.

中文翻译：

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混凝土梁分形振动模型的低频特性

混凝土梁是建筑工程中许多应用的基本构件，其振动特性对安全性和寿命起着重要作用。以前的振动模型基于连续梁理论，无法考虑混凝土梁的多孔特性。本文采用二尺度分形振动模型，揭示了其低频特性。这一新发现可以解释多孔混凝土的振动衰减和振动吸收，目前的理论为混凝土设计提供了新的思路。