ORIGINAL RESEARCH article

Front. Mater.

Sec. Structural Materials

Volume 12 - 2025 | doi: 10.3389/fmats.2025.1626998

This article is part of the Research TopicSustainable and Green Materials in Geotechnical EngineeringView all 8 articles

Forced vibration of an axially functionally graded energy pile embedded in temperature-sensitive Winkler soils

Provisionally accepted
Zhuanzhuan  ZhangZhuanzhuan Zhang1Zhao  LUZhao LU2*
  • 1Zhejiang University, Hangzhou, China
  • 2Hainan Institute, Zhejiang University, Sanya, China

The final, formatted version of the article will be published soon.

In this study, forced vibration analysis of a non-uniform energy pile in vertically inhomogeneous soil is presented considering non-uniform distributed temperature. In establishing the numerical model, it is assumed that the cross-sectional area of the pile remains constant throughout its length, while Young's modulus and mass density vary along the x direction.. The nonlinear soil-pile interaction is modeled with the p-y curve method.Because of the heterogeneity of the soil, the parameter in the p-y curve method changes along the depth direction. The energy pile encounters a complex mechanical load in the working process. In this study, a periodic lateral force and a constant vertical force are applied on the top of the energy pile. The governing equations and the boundary conditions are obtained based on the Hamilton principle. The vibration frequency responses are obtained numerically by using the differential quadrature method. The non-uniformity effects of the pile's temperature and material inhomogeneity effect are analyzed in detail. Our results demonstrate that the non-uniformity for both the pile and temperature could have significant effects on vibration frequency response.

Keywords: Energy pile, Inhomogeneous soil, non-uniform distributed temperature, Lateral vibration, Dynamic response

Received: 12 May 2025; Accepted: 10 Jun 2025.

Copyright: © 2025 Zhang and LU. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

* Correspondence: Zhao LU, Hainan Institute, Zhejiang University, Sanya, China

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