Free and Forced Vibration Analyses of Tapered Piles under Axial Harmonic Loads
Publication: International Journal of Geomechanics
Volume 21, Issue 4
Abstract
In this study, the free and forced vibration analyses of tapered piles subjected to axial harmonic loads were carried out. The first part of the paper presents the free vibration analysis of the tapered piles using an energy-based Rayleigh–Ritz method. The undamped natural frequency of the soil–pile system was obtained, and the results were validated using two analytical methods and a field test result reported in the literature. In the second part of the paper, the forced vibration analysis of tapered piles under vertical vibrations is carried out. Employing the Euler–Lagrange equation and calculus of variations, the governing differential equation for tapered piles under axial harmonic loading was obtained. A Taylor series expansion-based numerical technique called the differential transform method was used to solve the obtained differential equation. The numerical results were validated using reported full-scale forced vibration tests of cylindrical piles. The effects of the end fixities, slenderness ratio, the taper angle, and the degree of anisotropy on the response characteristics of tapered piles were discussed.
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Published In
International Journal of Geomechanics
Volume 21 • Issue 4 • April 2021
Copyright
© 2021 American Society of Civil Engineers.
History
Received: Jul 10, 2019
Accepted: Oct 29, 2020
Published online: Jan 29, 2021
Published in print: Apr 1, 2021
Discussion open until: Jun 29, 2021
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