岩土工程学报2026，Vol.48Issue(2)：270-279,10.DOI:10.11779/CJGE20240296
黏弹性土中横截面异形桩竖向动力响应理论分析
Theoretical analysis of dynamic response of irregularly shaped piles under vertical dynamic loading
摘要
Abstract
The piles with irregularly shaped cross-sections are increasingly prevalent in engineering applications,yet the theoretical researches in this area remain relatively scarce.In response to the current state of researches,the Hamilton's principle and variational calculus are employed to derive the governing equations for the model of irregularly shaped pile-viscoelastic soil interaction in the Cartesian coordinates.Utilizing the COMSOL,a two-dimensional model for soil with irregular boundaries is established to solve the governing equations for the soil,overcoming the challenge of solving the soil displacement function caused by irregular boundaries.MATLAB is employed to solve the control equations for the piles using the methods for calculating the boundary values,and subsequently,an iterative program is developed in the MATLAB to perform the coupled calculations of the aforementioned equations.A theoretical model for analyzing the vertical dynamic responses of irregularly shaped piles is established.The semi-analytical solution of the theoretical model is compared with the existing analytical solutions to validate the reliability of the proposed method.Finally,the influences of the cross-sectional parameters of irregularly shaped piles,the pile-to-soil modulus ratio and the slenderness ratio of the piles on their head impedance are discussed.The results indicate that as the external load frequency increases,the influences of the cross-sectional shape of the piles on their pile head impedance gradually increase,with the irregular effects of an H-shaped pile being more pronounced compared to those of the X-shaped and rectangular piles.关键词
黏弹性土/横截面异形桩/Hamilton原理/异形效应/复杂边界条件/动力阻抗Key words
viscoelastic soil/cross-sectional irregular pile/Hamilton's principle/irregularity effect/complex boundary condition/dynamic impedance分类
建筑与水利引用本文复制引用
周航,汪义圣,李运舟..黏弹性土中横截面异形桩竖向动力响应理论分析[J].岩土工程学报,2026,48(2):270-279,10.基金项目
国家自然科学基金面上项目(52278330,52027812) （52278330,52027812）
中国国家铁路集团有限公司科技研究开发计划项目(L2024G013) （L2024G013）
国家重点研发计划(2022YFB2601903)This work was supported by the National Natural Science Foundation of China(Grant Nos.52278330,52027812),the China State Railway Group Co.,Ltd.,Under the Scientific Research Project(Grant No.L2024G013),and the National Key Research and Development Program of China(Grant No.2022YFB2601903). （2022YFB2601903）
