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Fractional-order Maxwell model of seabed mud and its effect on surface-wave damping

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【作者】 夏乐章朱克勤

【Author】 Yue-zhang XIA Ke-qin ZHU (Department of Engineering Mechanics,Tsinghua University,Beijing 100084,P.R.China)

【机构】 Department of Engineering Mechanics Tsinghua University,Beijing 100084,P.R.China

【摘要】 <正>A fractional-order Maxwell model is used to describe the viscoelastic seabed mud.The experimental data of the real mud well fit the results of the fractional-order Maxwell model that has fewer parameters than the traditional model.The model is then used to investigate the effect of the mud on the surface-wave damping.The damping rate of a linear monochromatic wave is obtained.The elastic resonance of the mud layer is observed,which leads to the peaks in the damping rate.The damping rate is a sum of the modal damping rates,which indicates the wave damping induced by the mud motion of particular modes.The analysis shows that near the resonance,the total damping rate is dominated by the damping rate of the corresponding mode.

【Abstract】 A fractional-order Maxwell model is used to describe the viscoelastic seabed mud.The experimental data of the real mud well fit the results of the fractional-order Maxwell model that has fewer parameters than the traditional model.The model is then used to investigate the effect of the mud on the surface-wave damping.The damping rate of a linear monochromatic wave is obtained.The elastic resonance of the mud layer is observed,which leads to the peaks in the damping rate.The damping rate is a sum of the modal damping rates,which indicates the wave damping induced by the mud motion of particular modes.The analysis shows that near the resonance,the total damping rate is dominated by the damping rate of the corresponding mode.

【基金】 Project supported by the National Natural Science Foundation of China(No.10972117)
  • 【文献出处】 Applied Mathematics and Mechanics(English Edition) ,应用数学和力学(英文版) , 编辑部邮箱 ,2011年11期
  • 【分类号】O353.2
  • 【被引频次】3
  • 【下载频次】44
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