The Applications of Fractional-order Maxwell Model to Seabed Mud and its Influence on Water-wave Damping

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.

关键词： seabed mud wave damping fractional-order Maxwell model

作者: Y.-Z. Xia K.-Q. Zhu

作者单位: School of Aerospace, Tsinghua University, Beijing, 100084, P.R. China

会议类型: 国际会议

会议名称: The Fifth Symposium on Fractional Differentiation and Its Applications(第五届国际自动控制联合会分数阶导数及其应用会议)

会议地点: 南京

会议语种:英文

页码: 1-5

在线出版日期: 2012-05-14（万方平台首次上网日期，不代表论文的发表时间）