| 分数阶黏弹性土层中分数阶三维轴对称桩的竖向振动 |
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| 引用本文： | 刘林超,苏子平. 分数阶黏弹性土层中分数阶三维轴对称桩的竖向振动[J]. 应用力学学报, 2011, 28(5) |
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| 作者姓名： | 刘林超 苏子平 |
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| 作者单位： | 1. 信阳师范学院,信阳,464000
2. 河南省电力公司信阳供电公司,信阳,464000 |
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| 基金项目： | 国家自然科学基金(10872124); 河南省科技发展计划项目(112300410105); 河南省教育厅自然科学研究计划(2011A1301001); 信阳师范学院青年骨干教师资助计划(2011007) |
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| 摘 要： | 将桩基和土体视为三维连续介质，桩基和土体的应力一应变关系采用分数阶黏弹性模型描述。在三维轴对称情况下，利用三维弹性理论和连续介质力学理论，运用分离变量法和分数阶导数的性质，得到了分数阶黏弹性土层中分数阶黏弹性桩基的三维轴对称解；并分析了相关参数对桩顸动态刚度和等效阻尼的影响。研究结果表明：与土体相比，桩基的相关参量对桩顶复刚度的影响较大；桩基和土体的密度比、模量比对桩顶复刚度都有较大的影响。
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| 关 键 词： | 竖向振动 分数阶导数 三维模型 本构关系 复刚度 |
Vertical vibration of pile in soil in three-dimensional axis-symmetry model based on fractional derivative viscoelastic constitutive relationship |
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| Liu Linchao Su Ziping. Vertical vibration of pile in soil in three-dimensional axis-symmetry model based on fractional derivative viscoelastic constitutive relationship[J]. Chinese Journal of Applied Mechanics, 2011, 28(5) |
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| Authors: | Liu Linchao Su Ziping |
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| Affiliation: | Liu Linchao1 Su Ziping2(School of Civil Engineering,Xinyang Normal University,Xinyang,464000,Henan,China)1(Xinyang Power Supply Company,Electric Power of Henan,China)2 |
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| Abstract: | The pile and the soil around pile are all regarded as three-dimensional continuum media,and the stress-strain relationships of pile and the soil around pile are described by fractional derivative viscoelastic constitutive relationship.The vertical vibration of pile in soil based on fractional derivative viscoelastic constitutive relationship in the case of three-dimensional axis-symmetry is solved by the method of separation variables and the properties of fractional derivative.The influences of related par... |
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| Keywords: | vertical vibration fractional derivative three-dimensional model constitutive relationship complex stiffness. |
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