| 多层地基上轴对称受荷刚性圆板问题 |
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| 引用本文： | 艾智勇,梅阿敏. 多层地基上轴对称受荷刚性圆板问题[J]. 力学季刊, 2008, 29(3) |
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| 作者姓名： | 艾智勇 梅阿敏 |
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| 作者单位： | 同济大学,地下建筑与工程系,岩土及地下工程教育部重点实验室,上海,200092;同济大学,地下建筑与工程系,岩土及地下工程教育部重点实验室,上海,200092 |
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| 摘 要： | 利用刚性圆板表面各点位移相等,并结合刚性圆板与地基表面的位移相容条件与光滑接触条件,经由Hankel变换,推导出了刚性圆板与分层地基表面接触应力的对偶积分方程;求解该对偶积分方程,再由多层地基应力与位移的传递矩阵解,并经Hankel逆变换,得到了多层地基上轴对称受荷刚性圆板问题的解.编制了计算程序,并进行了数值分析与计算.计算结果表明:对均匀地基而言,实际工程的计算分析可只考虑4倍刚性圆板直径以内深度范围内的应力与位移;而地基的分层性对地基的位移和应力有着较大的影响,简单地将均匀地基的结论推广到分层和非均匀地基是不恰当的.
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| 关 键 词： | 多层地基 传递矩阵法 刚性圆板 Hankel变换 对偶积分方程 |
Axisymmetric Loaded Rigid Circular Plate on Multi-layered Soil |
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| AI Zhi-yong MEI A-min. Axisymmetric Loaded Rigid Circular Plate on Multi-layered Soil[J]. Chinese Quarterly Mechanics, 2008, 29(3) |
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| Authors: | AI Zhi-yong MEI A-min |
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| Affiliation: | Department of Geotechnical Engineering;Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education;Tongji University;Shanghai 200092;China |
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| Abstract: | Based on the equivalent settlements of rigid circular plate,the continuity and smooth contact conditions between subsoil surface and rigid circular plate,the dual integral equation of the interaction stresses between the rigid circular plate and multi-layered soil,was deduced after introducing Hankel transform.By resolving the dual integral equation,the solution of the rigid circular plate on multi-layered soil was obtained by using transfer matrix solutions for displacements and stresses of multi-layered s... |
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| Keywords: | multi-layered soil transfer matrix method rigid circular plate Hankel transform dual integral equation |
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