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分数导数粘弹性土层模型中桩基竖向振动特性研究
引用本文:刘林超,闫启方,杨骁.分数导数粘弹性土层模型中桩基竖向振动特性研究[J].工程力学,2011(8):177-182.
作者姓名:刘林超  闫启方  杨骁
作者单位:信阳师范学院土木工程学院;上海大学土木工程系;
基金项目:国家自然科学基金项目(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项目(2011A1301001); 信阳师范学院青年骨干教师资助计划项目(2011007)
摘    要:粘弹土体的应力-应变关系利用分数导数粘弹性模型进行描述,建立了分数导数粘弹性土层的竖向振动控制方程。在考虑三维波动的条件下,利用势函数和分离变量的方法求解了分数导数粘弹性土层的竖向振动。考虑桩土边界条件和接触条件对分数导数粘弹性土中桩基的竖向振动进行了研究,分析了主要桩土力学参数对桩顶复刚度和导纳的影响规律。研究表明:...

关 键 词:分数导数  粘弹性  应力-应变关系  振动特性  势函数

VERTICAL VIBRATION OF SINGLE PILE IN SOIL DESCRIBED BY FRACTIONAL DERIVATIVE VISCOELASTIC MODEL
LIU Lin-chao,YAN Qi-fang,YANG Xiao.VERTICAL VIBRATION OF SINGLE PILE IN SOIL DESCRIBED BY FRACTIONAL DERIVATIVE VISCOELASTIC MODEL[J].Engineering Mechanics,2011(8):177-182.
Authors:LIU Lin-chao  YAN Qi-fang  YANG Xiao
Affiliation:LIU Lin-chao1,YAN Qi-fang1,YANG Xiao2(1.School of Civil Engineering,Xinyang Normal University,Xinyang,Henan 464000,China,2.Department of Civil Engineering,Shanghai University,Shanghai 200072,China)
Abstract:The paper established the vertical dynamic governing equations of viscoelastic soil,where the stress-strain relationship of soil is described by fractional derivative viscoelastic model.Considering the three-dimensional wave effect of the soil-pile,the vertical vibration of soil described by fractional derivative viscoleastic model is solved by potential functions and the method of separation variables.The vertical coupled vibration of a pile in viscoleastic soil is investigated with boundary and contact co...
Keywords:fractional derivative  viscoelsatic  stress-strain relationship  vibration characteristics  potential functions  
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