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关于分数阶Maxwell淤泥模型及其在水波衰减问题中的应用
  • ISSN号:1000-0887
  • 期刊名称:《应用数学和力学》
  • 时间:0
  • 分类:O353.2[理学—流体力学;理学—力学]
  • 作者机构:[1]Department of Engineering Mechanics, Tsinghua University, Beijing 100084, P. R. China
  • 相关基金:Project supported by the National Natural Science Foundation of China (No. 10972117)
中文摘要:

<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.

英文摘要:

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.

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期刊信息
  • 《应用数学和力学》
  • 中国科技核心期刊
  • 主管单位:重庆交通大学
  • 主办单位:重庆交通大学
  • 主编:钟万勰
  • 地址:重庆南岸区重庆交通大学90信箱
  • 邮编:400074
  • 邮箱:applmathmech@cqjtu.edu.cn
  • 电话:023-62652450
  • 国际标准刊号:ISSN:1000-0887
  • 国内统一刊号:ISSN:50-1060/O3
  • 邮发代号:78-21
  • 获奖情况:
  • 国际工程索引(EI)收录期刊,我国力学类核心期刊,中国期刊方阵“双效”期刊
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论(网络版),日本日本科学技术振兴机构数据库,美国应用力学评论,中国中国科技核心期刊,中国北大核心期刊(2004版),中国北大核心期刊(2008版),中国北大核心期刊(2011版),中国北大核心期刊(2014版),中国北大核心期刊(2000版)
  • 被引量:8965