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层状分数阶黏弹性饱和地基与梁共同作用的时效研究

艾智勇 王禾 慕金晶

艾智勇, 王禾, 慕金晶. 层状分数阶黏弹性饱和地基与梁共同作用的时效研究[J]. 力学学报, 2021, 53(5): 1402-1411. doi: 10.6052/0459-1879-20-447
引用本文: 艾智勇, 王禾, 慕金晶. 层状分数阶黏弹性饱和地基与梁共同作用的时效研究[J]. 力学学报, 2021, 53(5): 1402-1411. doi: 10.6052/0459-1879-20-447
Ai Zhiyong, Wang He, Mu Jinjing. TIME-DEPENDENT ANALYSIS OF THE INTERACTION BETWEEN MULTILAYERED FRACTIONAL VISCOELASTIC SATURATED SOILS AND BEAMS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(5): 1402-1411. doi: 10.6052/0459-1879-20-447
Citation: Ai Zhiyong, Wang He, Mu Jinjing. TIME-DEPENDENT ANALYSIS OF THE INTERACTION BETWEEN MULTILAYERED FRACTIONAL VISCOELASTIC SATURATED SOILS AND BEAMS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(5): 1402-1411. doi: 10.6052/0459-1879-20-447

层状分数阶黏弹性饱和地基与梁共同作用的时效研究

doi: 10.6052/0459-1879-20-447
基金项目: 1)国家自然科学基金(41672275)
详细信息
    作者简介:

    2)艾智勇, 教授, 主要研究方向: 岩土及地下工程. E-mail: zhiyongai@tongji.edu.cn

    通讯作者:

    艾智勇

  • 中图分类号: TU470

TIME-DEPENDENT ANALYSIS OF THE INTERACTION BETWEEN MULTILAYERED FRACTIONAL VISCOELASTIC SATURATED SOILS AND BEAMS

  • 摘要: 饱和地基与梁共同作用问题的研究在力学领域及工程界都具有重要意义. 采用分数阶Merchant模型研究饱和地基的流变固结, 该模型比常用整数阶黏弹性模型更能精确反映地基的时变特征. 基于层状正交各向异性黏弹性饱和地基的固结解答, 采用有限元法与边界元法耦合的方法, 研究梁与分数阶黏弹性饱和地基的共同作用问题. 依据Timoshenko梁理论将梁离散为若干单元, 进而得到梁的总刚度矩阵方程; 将黏弹性地基固结问题的精细积分解答作为边界积分的核函数, 采用边界元法建立地基柔度矩阵方程; 结合梁与地基接触面的位移协调条件以及力的平衡条件, 通过有限元法与边界元法的耦合, 最终求得层状分数阶黏弹性饱和地基与Timoshenko梁共同作用的解答. 将本文地基退化为Kelvin地基进行计算, 并与已有文献中的算例进行对比, 二者具有很好的一致性. 在此基础上, 探讨分数阶次和地基成层性对梁与黏弹性饱和地基共同作用的影响. 结果表明: 分数阶次高的黏弹性饱和地基的固结速率明显更快; 对于层状地基, 加固表层土体能有效控制地基整体沉降, 并减小差异沉降. 实际工程中, 应充分考虑饱和地基流变及土体分层性的影响, 以准确分析梁与地基的共同作用过程.

     

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  • 收稿日期:  2020-12-23
  • 刊出日期:  2021-05-18

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