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首页> 外文会议>Proceedings of the Fifth symposium on fractional differentiation and its applications >The Applications of Fractional-order Maxwell Model to Seabed Mud and its Influence on Water-wave Damping
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The Applications of Fractional-order Maxwell Model to Seabed Mud and its Influence on Water-wave Damping

机译：分数阶麦克斯韦模型在海床泥浆中的应用及其对水波阻尼的影响

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摘要

Seabed mud with complex viscoelastic properties can be described by the Fractional-order Maxwell model. The experimental data of real mud is well fitted by the fractional-order Maxwell model. Compared to traditional models, the fractional-order Maxwell model has less free parameters. The effect of wave damping induced by mud of the fractional-order Maxwell model is investigated. The damping rate of a linear monochromatic wave is obtained. The elastic resonance of the mud layer is observed, which leads to the peak of the damping rate. Modal analysis shows that, motion of first modal dominate the mud dynamics in most cases. Near resonance, the damping rate can be approximated by modal damping rate.
机译：可以通过分数阶麦克斯韦模型描述具有复杂粘弹性的海底泥浆。分数阶麦克斯韦模型很好地拟合了真实泥浆的实验数据。与传统模型相比，分数阶Maxwell模型具有较少的自由参数。研究了分数阶麦克斯韦模型的泥浆引起的波阻尼效应。获得线性单色波的阻尼率。观察到泥浆层的弹性共振，导致阻尼率达到峰值。模态分析表明，在大多数情况下，第一模态的运动支配着泥浆动力学。在共振附近，阻尼率可以通过模态阻尼率来近似。

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