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基于平面应变简化假定的桩扭转振动理论精度研究
Study on theories of torsional response of dynamically loaded single piles based on plane strain assumption
【摘要】 利用拉普拉斯变换对考虑桩土耦合扭转振动条件下,桩顶受到任意激振扭矩作用的端承桩桩顶频域及时域响应进行解析求解,推导求得了桩顶位移、速度频域响应,桩顶复阻抗的解析表达式和半正弦脉冲激励作用下的桩顶时域响应半解析解;将本文所得理论解与基于平面应变假定的桩基扭转耦合振动的频域解和时域解进行了全面对比研究,具体比较范围涉及土层对桩的局部复阻抗、桩顶复频响应、速度导纳、桩顶复刚度和桩顶时域响应等方面,并得到若干重要结论。研究成果校核了平面应变假定在桩基扭转振动理论研究中的合理运用,为进一步了解桩土耦合振动的内在机理提供理论支持。
【Abstract】 By Laplace transform,the interaction between a dynamically loaded fix pile-tip and a soil layer is theoretically investigated first.The displacement and velocity response at pile head in frequency domain and the dynamic stiffness of a pile are obtained in a closed form.A semi-analytical solution for the velocity response of a pile subjected to a semi-sine wave exciting torque is also achieved.The comparison between theories based on plane strain assumption and solutions developed in this paper is made,and some important conclusions are drawn.
【Key words】 soil-pile interaction; torsional vibration; vicious type damping; plane strain assumption; end-bearing pile;
- 【文献出处】 地震工程与工程振动 ,Journal of Earthquake Engineering and Engineering Vibration , 编辑部邮箱 ,2008年03期
- 【分类号】TU473.1
- 【被引频次】4
- 【下载频次】95