Journal of Applied Mathematics

Soil-Pile Interaction in the Pile Vertical Vibration Based on Fictitious Soil-Pile Model

Guodong Deng, Jiasheng Zhang, Wenbing Wu, Xiong Shi, and Fei Meng

Full-text: Open access

Abstract

By introducing the fictitious soil-pile model, the soil-pile interaction in the pile vertical vibration is investigated. Firstly, assuming the surrounding soil of pile to be viscoelastic material and considering its vertical wave effect, the governing equations of soil-pile system subjected to arbitrary harmonic dynamic force are founded based on the Euler-Bernoulli rod theory. Secondly, the analytical solution of velocity response in frequency domain and its corresponding semianalytical solution of velocity response in time domain are derived by means of Laplace transform technique and separation of variables technique. Based on the obtained solutions, the influence of parameters of pile end soil on the dynamic response is studied in detail for different designing parameters of pile. Lastly, the fictitious soil-pile model and other pile end soil supporting models are compared. It is shown that the dynamic response obtained by the fictitious soil-pile model is among the dynamic responses obtained by other existing models if there are appropriate material parameters and thickness of pile end soil for the fictitious soil-pile model.

Article information

Source
J. Appl. Math., Volume 2014 (2014), Article ID 905194, 11 pages.

Dates
First available in Project Euclid: 2 March 2015

Permanent link to this document
https://projecteuclid.org/euclid.jam/1425305768

Digital Object Identifier
doi:10.1155/2014/905194

Citation

Deng, Guodong; Zhang, Jiasheng; Wu, Wenbing; Shi, Xiong; Meng, Fei. Soil-Pile Interaction in the Pile Vertical Vibration Based on Fictitious Soil-Pile Model. J. Appl. Math. 2014 (2014), Article ID 905194, 11 pages. doi:10.1155/2014/905194. https://projecteuclid.org/euclid.jam/1425305768


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