关键词: 桩基承台梁, 内力分析, Winkler地基模型, 幂级数法

Abstract: By treating the girder grillage supported by piles as a finite beam resting on an elastic foundation, regarding the vertical pile and the surrounding soil as springs with different rigidities, and with consideration of the interaction between the pile and the surrounding soil, a differential control equation for the capping beam is established on the base of the Winkler elastic foundation model. The semi analytical power series solutions for the vertical displacement, rotation, bending moment and shearing force of the capping beam under arbitrary loads such as concentrated load, added moment and distributed load are presented. The validity of the presented solutions is verified by the existing rigid-bar method and Newmark method. On the base of that, the influence factors such as the diversity of pile bearing capacity, the reaction of the surrounding soil, the diameter of pile and the load spreading properties on the behavior of the girder grillage supported by piles are discussed. The results indicate that the above factors significantly affect the behavior of the girder grillage supported by piles. With consideration of these above factors, the vertical deformation, bending moment and support reaction on the top of pile of the beam are different from that without consideration of these factors. So in the real engineering design of the capping pile beam, all those influence factors should be taken into account.

Key words: girder grillage supported by piles, internal force analysis, Winkler foundation model, power series method