Deformation Pattern of Beams Rested on Different Foundation Models in Nonuniform Foundation Conditions
Publication: International Journal of Geomechanics
Volume 24, Issue 1
Abstract
The theoretical calculation considering foundation and beam interaction is widely employed to simulate thee deformation pattern of a beam rested on different foundation models. Based on the Kerr three-parameter foundation theory, a general analytical method that can calculate the vertical displacements on both ends of beams rested on nonuniform foundation is proposed. The proposed method introduces fewer unknown parameters and has the merits of avoiding complicated calculations of series expansion. The proposed analytical method is first compared with other foundation models and then validated by comparison with the results of finite-element numerical simulations. For both nonuniform and uniform foundation, the results show that the vertical displacements on both ends of beams calculated by the proposed method is closer to that of ABAQUS simulation results than those with the Winkler single-parameter foundation model and the Vlasov two-parameter foundation model. Note that the proposed foundation model can be transformed into the Vlasov foundation model and the Winkler foundation model by reducing the equivalent compression subgrade coefficient ratio n of the spring layers and the equivalent shear subgrade coefficient, respectively. The larger the compression modulus or the smaller the thickness, the more obvious is the uneven deformation pattern of the entire structure under nonuniform foundation conditions. When Poisson’s ratio changes from 0.25 to 0.3, the vertical displacements on both ends of beams do not change significantly.
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Data Availability Statement
All data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
Much of the work presented in this paper was supported by the National Natural Science Foundation of China (Grant Nos. 52078236, 51878313 and 52208366) and the Natural Science Foundation of Guangdong Province of China (2022A1515011200). The authors gratefully acknowledge the financial supports.
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Published In
International Journal of Geomechanics
Volume 24 • Issue 1 • January 2024
Copyright
© 2023 American Society of Civil Engineers.
History
Received: Feb 18, 2023
Accepted: Jul 7, 2023
Published online: Oct 31, 2023
Published in print: Jan 1, 2024
Discussion open until: Mar 31, 2024
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