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层状土中考虑剪切变形的单桩水平振动解析解
Analytical solutions for lateral vibration of pile in layered soils considering shear deformation
【摘要】 针对桩基水平振动分析问题,建立了能够同时考虑桩体弯曲和剪切变形的桩土计算模型.采用与频率相关的刚度系数和阻尼系数来模拟土对桩的动反力,简化桩体为Timoshenko梁,得到了层状黏弹性地基中能同时考虑桩体弯曲和剪切变形的单桩的水平振动解析解.研究了桩土模量比、桩体长径比、地基成层性以及激振频率对桩基动力响应的影响.并且在给定桩土参数的情况下,把同时考虑桩体弯曲和剪切变形的解析解与只考虑弯曲变形的解进行了比较.结果表明,忽略桩体水平振动时的剪切变形可能会带来较大的误差.
【Abstract】 To resolve the problem of piles lateral vibration in layered soil, a pilesoil model considering both the bending and shearing of pile was proposed. The frequencydependent stiffness coefficients and damping coefficients were utilized to simulate the soil reaction to the pile, and the pile was modelled as a Timoshenko beam, then a more rigorous analytical solution for the lateral vibration of a single pile was developed. On the basis of the developed solution, the effects of the modulus ratio of pile to soil, the ratio of pile length to diameter, the variation of soil properties and the excitation frequency on the dynamic response of pile were studied. Comparison was also made between the theory proposed here and that based on Euler beam model in layered soils. Results show that neglecting the shear deformation of the pile results in relatively more errors in analysis of the piles lateral vibration.
【Key words】 multi-layered viscoelastic subgrade; shear deformation; Timoshenko beam; horizontal dynamic response; analytical solution;
- 【文献出处】 浙江大学学报(工学版) ,Journal of Zhejiang University(Engineering Science) , 编辑部邮箱 ,2005年06期
- 【分类号】TU473.12
- 【被引频次】9
- 【下载频次】186