下挖增层桩顶约束对基桩屈曲稳定临界荷载影响分析
Critical buckling capacity of piles with different pile-head constraints for excavation beneath existing foundation
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摘要: 以浙江饭店地下车库扩建工程为背景,假定桩顶约束不同,从而得到相应的挠曲变形函数。之后,结合Winkler弹性地基梁理论建立桩-土体系总势能方程,利用最小势能原理,导得既有建筑下挖增层改造工况下,不同桩顶约束时,桩基础的屈曲稳定临界荷载表达式。在此基础上,分析了桩顶约束对桩基础屈曲稳定临界荷载的影响。得知:随着半波数的增加,桩基础的屈曲稳定临界荷载逐渐收敛,桩顶固定收敛速度最快,铰接次之,弹性嵌固最慢;不同的桩顶约束对桩基础屈曲稳定临界荷载比影响不同,在同一开挖深度下,桩顶固定时,临界荷载比最大,弹性嵌固次之,铰接最小;随着开挖深度的增加,桩顶固定时的临界荷载比缓慢减小,而桩顶嵌固及铰接时的临界荷载比急剧降低。Abstract: The constraint conditions at pile head are assumed based on the case of Zhejiang Hotel Expansion Project, and then the deflection functions under different constraint conditions of pile tip and top are introduced. The total potential energy of pile-soil system is established based on the Winkler’s elastic beam theory. The expressions for the critical buckling capacity pile foundation under different constraint conditions are deduced by using the minimum potential energy principle. On this basis, the influence factors for the critical buckling capacity of pile foundation under different constraint conditions are analyzed. It is shown that the critical buckling capacity of pile foundation converges with the increase in the half-wave number. The convergence rate of the fixed pile head is the fastest, that of the hinge takes second place and that of the fixed with sway is the slowest. The constraint conditions at pile head affect the critical buckling capacity. The ratio of the critical buckling capacity of fixed pile head is the largest, that fixed with sway takes the second place and that of the hinge is the smallest at the same excavation depth. The ratio of critical buckling capacity of fixed pile head decreases slowly with the increasing excavation depth. However, the ratios the hinge and fixed with sway at pile head decrease rapidly.