（1 天津大学水利工程仿真与安全国家重点实验室， 天津 300072；2 天津大学建筑工程学院， 天津 300072）

［摘要］根据陆上风机圆形扩展基础的外形特征和受力特性，结合E.Reissner和R.D.Mindlin板弯曲理论，将风机扩展基础底板等效为内边缘刚接且外边缘自由的变厚板，建立弹性理论的内力平衡方程，并采用常数变易和迭代法求解得到了基础底板内力的解析解；同时，探究了基础底板径向弯矩和环向弯矩的关系，二者的比值在小范围区间内变动，这为风机基础内力简化计算方法提供了一定理论参考；基于三维有限元软件ABAQUS，采用单一变量法研究了土体变形模量、内摩擦角、黏聚力对基础倾斜率、基底脱开率和脱开面积的影响规律，得出了土体变形模量是其主要的影响因素。

［关键词］扩展基础； 板弯曲； 变厚板； 基础倾斜率； 基底脱开

中图分类号：TU470+.3文献标识码：A文章编号：1002-848X(2020)03-0129-08

Analysis of internal force and disengagement law for circular expansion foundation plate of onshore  wind turbine

Zhang Puyang1,2， Zeng Bin2， Ding Hongyan1,2， Guo Yaohua2

(1 State Key Laboratory of Hydraulic Engineering Simulation and Safety（Tianjin University），  Tianjin 300072，  China;2 School of Civil Engineering， Tianjin University，  Tianjin 300072， China)

Abstract:According to the shape characteristics and mechanical characteristics of the circular expansion foundation of the onshore wind turbine, the plate bending theories of E. Reissner and R. D. Mindlin were combined to make the expansion foundation plate of the wind turbine equivalent to a plate of variable thicknesses with a rigid inner edge and a free outer edge. The internal force equilibrium equation of the elastic theory was established, and the analytical solution of the internal force of the foundation plate was obtained by constant change and iterative methods. At the same time, the relationship between the radial bending moment and the circumferential bending moment of the foundation plate was explored, and the ratio of the moments was in a small range. This provided a certain theoretical reference for the simplified calculation method of the foundation internal force of the wind turbine. Based on the three-dimensional finite element software ABAQUS, the single-variable method was used to research the influence laws of deformation modulus, internal friction angle and cohesion of the soil on the foundation slope, foundation disengagement rate and the disengagement area; it′s obtained that the deformation modulus of the soil was the main influencing factor.

Keywords:circular expansion foundation; plate bending; plate of variable thicknesses; foundation inclination rate; foundation bottom disengagement