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中南大学学报(自然科学版)

Journal of Central South University

第50卷    第1期    总第293期    2019年1月

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文章编号:1672-7207(2019)01-0158-07
基于Prandtl破坏模式的吸力式沉箱基础抗拔承载力极限分析上限解
朱文波1,戴国亮1, 2,龚维明1, 2,赵学亮1, 2

(1. 东南大学 土木工程学院,江苏 南京,210096;
2. 东南大学 混凝土及预应力混凝土结构教育重点实验室,江苏 南京,210096
)

摘 要: 为了研究吸力式沉箱基础竖向抗拔荷载作用下极限承载力上限解,引入“反向地基承载力”,基于Prandtl破坏机构,选择合适的地基破坏模式及机动位移速度场,使原Prandtl机构中主动区变为被动区,对数螺旋线反向,并考虑土体自重、黏聚力及土压力因素,推导吸力式沉箱基础抗拔荷载作用下极限承载力上限解。分析上限解与黏聚力、内摩擦角、土压力以及摩擦因数关系,采用Matlab软件编程计算出上限解,并与有关试验值和上限解进行对比分析。研究结果表明:反向Prandtl破坏机构符合实际受力情况。文中上限解与试验值相对误差基本上控制在40%以下,最大相对误差为44%,最小相对误差为3%,接近试验值,证明其破坏模式的合理性及方法的适用性。

 

关键字: 吸力式沉箱基础;Prandtl破坏模式;极限分析;上限定理;能量耗散率

Upper bound solution for ultimate bearing capacity of suction caisson foundation based on Prandtl failure mode
ZHU Wenbo1, DAI Guoliang1, 2, GONG Weiming1, 2, ZHAO Xueliang1, 2

1. School of Civil Engineering, Southeast University, Nanjing 210096, China;
2. Key Laboratory of Concrete and Prestressed Concrete Structure of Ministry of Education,
Southeast University, Nanjing 210096, China

Abstract:In order to study the upper bound solution of the uplift ultimate bearing capacity of suction caisson foundation, the viewpoint of reverse bearing capacity and the reverse Prandtl failure mode were introduced for study. The reverse Prandtl failure mode means that the active area of Prandtl failure mode becomes the passive area and the logarithmic spiral direction was opposite. At the same time, the relationship between the upper bound solution and cohesion, internal friction angle, soil pressure and friction coefficient were analyzed. Then, the upper bound solution was calculated by using the Matlab calculation program and was compared with the previous experimental data and other upper bound solution. The results show that the proposed equations are verified by the corresponded test results. And the upper bound solution agrees reasonably well with the other test results. The error between upper bound solutions and the experimental values are basically controlled to be less than 40%, with the maximum error being 44%, and the minimum error being 3%. It can be proved that the failure mechanism is reasonable and more consistent with the actual force condition.

 

Key words: suction caisson foundation; Prandtl failure mode; limit analysis; upper bound theorem; energy dissipation rate

中南大学学报(自然科学版)
  ISSN 1672-7207
CN 43-1426/N
ZDXZAC
中南大学学报(英文版)
  ISSN 2095-2899
CN 43-1516/TB
JCSTFT
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