Research on Stability Evaluation of Perilous Rock on Soil Slope Based on Natural Vibration Frequency
Abstract
:1. Introduction
2. Materials and Methods
2.1. Perilous Rock on Soil Slope and Research Method
2.2. Dynamic Characteristic Model of Perilous Rock on Soil Slope
3. Model Test
3.1. Test Equipment
- (1)
- Vibration meterSpecifically, a Microchip Cube wireless vibrometer manufactured by Bei**g Beike Andi Technology Development Co., Ltd. (Bei**g, China) was used in the experiment with a quick sampling rate, a high signal-to-noise ratio, and wireless data transmission. The frequency of the object’s natural vibrations in all three dimensions was determined using the Fourier transform. The exact vibration meter parameters are depicted in Table 1.
- (2)
- Vibration measurementWe attached the vibration detector to the model’s summit and then used epoxy glue to connect the detector’s fixed plate to the perilous rock block shown in the foreground. The installation of the layout sensor occurred after the epoxy resin had dried and the test model had been taken entirely. The velocity/acceleration in the three dimensions was activated after the hammer excited the wide frequency domain, measuring the object’s time-domain representation in Figure 3. After obtaining a representation of the observed object’s frequency domain by filtering and the Fourier transform (Figure 4), the measured object’s natural vibration frequency could be determined.
3.2. Experimental Model
- (1)
- Test modelIn the experiment, cubes of different sizes and qualities were used to simulate perilous rocks. The dimensions of models A, B, and C were 0.3 m × 0.3 m × 0.4 m, 0.3 m × 0.3 m × 0.3 m, and 0.3 m × 0.3 m × 0.2 m, respectively, and the masses were 84.3 kg, 63.2 kg, and 42.5 kg, respectively. Figure 5 depicts the experiment’s perilous rock model.
- (2)
- Foundation soilWe took the soil on the open-top landslide body on the Dadu River National Road slope as the test foundation soil. The natural density, natural dry density, deformation modulus, and grain group content of the soil were obtained through conventional soil tests. Table 2 displays the standard properties of the foundation soil.
3.3. Test Plan
3.4. Test Results
3.5. Discussion
- (1)
- Correlation between the buried depth of the perilous rock and the natural vibration frequency.
- (2)
- Relationship between the natural vibration frequency and the perilous rock mass.
4. Perilous Rock Stability Evaluation
4.1. Force Analysis of Perilous Rock
4.2. Stability Evaluation Model
4.3. Example
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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Parameter | Minimum | Maximum | Unit |
---|---|---|---|
range | −5.0 | +5.0 | |
sampling ratio | 5.0 | 800 | |
resolution | 0.50 | — |
Test Factor | Average | Unit |
---|---|---|
natural density () | 1.92 | g/cm3 |
internal friction angle () | 20.0 | ° |
coefficient of subgrade reaction (k) | 6.5 × 104 | kN/m3 |
cohesion (C) | 7.0 | kN/m2 |
Models | Buried Depth/cm | Measured Frequency/Hz | Buried Depth Calculation/cm | Error/% |
---|---|---|---|---|
A | 8 | 13.6 | 7.49 | 6.37% |
A | 16 | 23.2 | 16.72 | 4.51% |
A | 24 | 31.8 | 24.61 | 2.52% |
A | 32 | 39.2 | 31.18 | 2.56% |
B | 6 | 16.5 | 6.34 | 5.69% |
B | 12 | 25.3 | 12.36 | 3.03% |
B | 18 | 32.6 | 17.51 | 2.73% |
B | 24 | 39.9 | 23.51 | 2.02% |
C | 4 | 17.7 | 3.84 | 3.92% |
C | 8 | 27.4 | 8.32 | 3.97% |
C | 12 | 35.4 | 12.82 | 6.83% |
C | 16 | 40.9 | 16.26 | 1.63% |
Length of Perilous Rock | /cm | Width/cm | Height/cm | Mass/kg | Slope Angle/° |
---|---|---|---|---|---|
A | 3.33 | 5.21 | 7.23 | 327,386.50 | 25.00 |
B | 2.85 | 4.89 | 4.56 | 165,866.65 | 25.00 |
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Share and Cite
Jia, Y.; Song, G.; Wang, L.; Jiang, T.; Zhao, J.; Li, Z. Research on Stability Evaluation of Perilous Rock on Soil Slope Based on Natural Vibration Frequency. Appl. Sci. 2023, 13, 2406. https://doi.org/10.3390/app13042406
Jia Y, Song G, Wang L, Jiang T, Zhao J, Li Z. Research on Stability Evaluation of Perilous Rock on Soil Slope Based on Natural Vibration Frequency. Applied Sciences. 2023; 13(4):2406. https://doi.org/10.3390/app13042406
Chicago/Turabian StyleJia, Yanchang, Guihao Song, Luqi Wang, Tong Jiang, **di Zhao, and Zhanhui Li. 2023. "Research on Stability Evaluation of Perilous Rock on Soil Slope Based on Natural Vibration Frequency" Applied Sciences 13, no. 4: 2406. https://doi.org/10.3390/app13042406