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Nonlinear Dynamic Analysis of Primary Resonance of Vibratory Pile Driving System
ZHENG Hui-ping; WANG Wei
2012, 32 (2):
13-17.
DOI: 103969/j.issn.1006-1355-2012.02.003
According to the mechanism of vibratory pile driving and non-linear stress-strain relation of soil, a nonlinear dynamic model for vibratory pile driving was established. In this model, the action of soil to the pile was represented by a soft nonlinear spring and a linear damper. The first approximate solution of the system in primary resonance case was obtained by using the method of multiple scales. Amplitude-frequency characteristic for steady primary resonance of the system was analyzed by selecting appropriate parameters. The initial displacement intervals in which the primary resonance had stable solutions in multi-solution frequency band were determined by using Matlab. Finally, the effects of construction parameters on amplitude-frequency characteristics for the primary resonance were discussed. The results of this research provide guidelines for vibratory pile driving construction.
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