Longitudinal Dynamic Response of a Large-Diameter-Bored Pile Considering the Bottom Sediment and Radial Unloading of the Surrounding Soil
Abstract
:1. Introduction
2. Model Establishment
- (1)
- The large-diameter-bored pile, as well as the bottom sediment, is an elastic Rayleigh–Love rod;
- (2)
- The top surface of the surrounding soil is free, while its bottom surface is in direct contact with the rigid bedrock;
- (3)
- The displacement of the surrounding soil in the vertical direction is considered while that in the radial direction is neglected;
- (4)
- The pile and soil, as well as the adjacent soil zones, are in continuous contact;
- (5)
- The displacement and velocity of the soil–pile system are zero when t = 0;
- (6)
- The study is conducted under the conditions of small deformations and strains, and the conclusions are valid only under axisymmetric condition.
3. Governing Equations
4. Solutions for the Equations
4.1. Solution for the Soil
4.2. Solution for the Pile
5. Parametric Analysis
5.1. Comparison with Other Solutions
5.2. Parametric Analysis and Discussion
5.2.1. Coupling Effect of Sediment Thickness and Pile Parameters
5.2.2. Coupling Effect of Sediment Thickness and the Radial Unloading of the Surrounding Soil
6. Conclusions
- (1)
- When there exists a certain thickness of sediment at the pile tip, the oscillation amplitude and resonant frequency of the complex impedance decrease, the signal reflected by the pile tip weakens with an increase in time lag, and a synthetic reflected signal occurs before the reverse reflected signal. Under this condition, the pile length would be overestimated and the support condition at the bottom of the pile would be misjudged. These phenomena become more apparent for increases in the sediment thickness.
- (2)
- When the transverse inertia of the pile is taken into account, the oscillation amplitude and resonant frequency of the complex impedance within the high-frequency range decrease, especially at higher frequencies. Meanwhile, it takes more time to receive the signal reflected by the pile tip.
- (3)
- As the pile radius, pile longitudinal wave velocity, soil softening range, or degree increases, the oscillation amplitude and resonant frequency of the complex impedance increase, the signal reflected by the pile tip becomes more pronounced.
- (4)
- The decrease in the oscillation amplitude of the complex impedance and the weakness of the reflected signal due to the increased sediment thickness become less notable as the pile Poisson’s ratio increases. Conversely, these effects are exacerbated by the increasing pile radius, longitudinal wave velocity, soil softening range, and degree. It is also noted that the decrease in the resonant frequency of the complex impedance and the time delay of the reflected signal are not affected during this process.
- (5)
- The aforementioned conclusions can provide a theoretical basis for the judgment of low-strain test results of pile foundation in actual engineering, thus avoiding misjudgment and evaluating the length and integrity of piles more accurately.
Supplementary Materials
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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Length (m) | Radius (m) | Density (kg/m3) | Longitudinal Wave Velocity (m/s) | Poisson’s Ratio | |
---|---|---|---|---|---|
Pile | 10 | 0.5 | 2500 | 3800 | 0.2 |
Sediment | 0.01 | 0.5 | 1700 | 1200 | 0.35 |
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Zhang, C.; Zhuoma, P.; Zhang, Y.; Li, Z. Longitudinal Dynamic Response of a Large-Diameter-Bored Pile Considering the Bottom Sediment and Radial Unloading of the Surrounding Soil. Appl. Sci. 2023, 13, 13252. https://doi.org/10.3390/app132413252
Zhang C, Zhuoma P, Zhang Y, Li Z. Longitudinal Dynamic Response of a Large-Diameter-Bored Pile Considering the Bottom Sediment and Radial Unloading of the Surrounding Soil. Applied Sciences. 2023; 13(24):13252. https://doi.org/10.3390/app132413252
Chicago/Turabian StyleZhang, Cun, Pingcuo Zhuoma, Yongjuan Zhang, and Zhenya Li. 2023. "Longitudinal Dynamic Response of a Large-Diameter-Bored Pile Considering the Bottom Sediment and Radial Unloading of the Surrounding Soil" Applied Sciences 13, no. 24: 13252. https://doi.org/10.3390/app132413252
APA StyleZhang, C., Zhuoma, P., Zhang, Y., & Li, Z. (2023). Longitudinal Dynamic Response of a Large-Diameter-Bored Pile Considering the Bottom Sediment and Radial Unloading of the Surrounding Soil. Applied Sciences, 13(24), 13252. https://doi.org/10.3390/app132413252