Numerical-experimental method of determination of the elastic modulus of a soil massif

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Abstract

The paper presents a numerical and analytical method for determining the modulus of elasticity of the soil, based on experimental results on the natural frequencies of vibration of a pile embedded in a soil mass and their theoretical dependence on the modulus of elasticity of the soil. Experimental results on the dynamic behavior of a pile embedded in a soil mass and numerical results based on the finite element method, which provide the construction of the dependence of the natural frequencies of vibration of the pile on the modulus of elasticity of the soil, are given. As a demonstration of the reliability and efficiency of the method under consideration, a comparison of numerical results on the natural frequencies of vibrations of the pile with different weights at its free end at the found dependence of the modulus of elasticity of the soil and the corresponding experimental results is given.

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About the authors

G. N. Gusev

Institute of Continuous Media Mechanics of the Ural Branch of Russian Academy of Science (ICMM UB RAS)

Author for correspondence.
Email: gusev.g@icmm.ru
Russian Federation, Perm

R. V. Tsvetkov

Institute of Continuous Media Mechanics of the Ural Branch of Russian Academy of Science (ICMM UB RAS)

Email: flower@icmm.ru
Russian Federation, Perm

V. V. Epin

Institute of Continuous Media Mechanics of the Ural Branch of Russian Academy of Science (ICMM UB RAS)

Email: epin.v@icmm.ru
Russian Federation, Perm

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Supplementary files

Supplementary Files
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2. Fig. 1. Sequence of actions for determining the modulus of elasticity of the soil. Main actions and intermediate result: 1 – experimental determination of the natural frequencies of the pile (n.f.) in the soil; 2 – n.f. of the pile in the soil; 3 – construction based on the numerical model of the dependence of the modulus of elasticity of the soil on the n.f. of the pile in the soil; 4 – modulus of elasticity of the soil (Egr); 5 – calculation of the n.f. of the pile with a load for the found Egr; 6 – numerical values ​​of the n.f. of the pile in the soil; 6 – experimental determination of the n.f. of the pile with a load and comparison with the model results.

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3. Fig. 2. Pile with a 61.5 kg load at the free end and a 3-axis accelerometer in the soil massif (a); 3-axis accelerometer on the free part of the pile (b).

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4. Fig. 3. Fourier spectra for a pile without a load upon impact in the Z-axis direction: signal for the component along the X-axis (a); signal for the component along the Y-axis (b); signal for the component along the Z-axis (c).

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5. Fig. 4. Pile embedded in a soil cylinder (numerical model).

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6. Fig. 5. Dependence of the natural frequencies of pile vibrations (Ω, Hz) on the dimensions of the cylinder (A, m): at Egr = 1 MPa (a), at Egr = 100 MPa (b).

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7. Fig. 6. Dependences of the first four natural frequencies of oscillations [Hz] of the pile on the modulus of elasticity of the soil [MPa] with Poisson's ratio of 0.3.

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