Modelling of the Dynamic Young’s Modulus of a Sedimentary Rock Subjected to Nonstationary Loading
Abstract
:1. Introduction
2. Description of the Experiment
3. Model Formulation
4. Results and Discussion
5. Conclusions
Author Contributions
Funding
Conflicts of Interest
List of Symbols
A | Amplitude of the dynamic load, N |
dmax | Maximum value of sample’s diameter, m |
dmin | Minimum value of sample’s diameter, m |
Edyn calc | Calculated dynamic component of the Young’s modulus, Pa |
Edyn model | Model dynamic component of the Young’s modulus, Pa |
Edyn | Dynamic component of the Young’s modulus, Pa |
Fst | Static preload, N |
g | Gravity, m/s2 |
k | Stiffness |
l | Sample length, m |
l0 | Sample length in the preloaded state, m |
lmax | Maximum sample length, m |
lmin | Minimum sample length, m |
m | Mass, m |
R | Percentage deviation |
S | Cross-section area of the sample, m2 |
T | Period, s |
t | Time, s |
u | Displacement, m |
umax | Maximum displacement, m |
umin | Minimum displacement, m |
α | Coefficient linking external and natural frequencies |
Δd | Transverse displacement, m |
Δl | Longitudinal displacements, m |
εl | Longitudinal strain |
π | Ratio of a circle’s circumference to its diameter |
σ | Stress, Pa |
ω | External frequency, Hz |
Ω | Natural frequency, Hz |
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Guzev, M.; Riabokon, E.; Turbakov, M.; Kozhevnikov, E.; Poplygin, V. Modelling of the Dynamic Young’s Modulus of a Sedimentary Rock Subjected to Nonstationary Loading. Energies 2020, 13, 6461. https://doi.org/10.3390/en13236461
Guzev M, Riabokon E, Turbakov M, Kozhevnikov E, Poplygin V. Modelling of the Dynamic Young’s Modulus of a Sedimentary Rock Subjected to Nonstationary Loading. Energies. 2020; 13(23):6461. https://doi.org/10.3390/en13236461
Chicago/Turabian StyleGuzev, Mikhail, Evgenii Riabokon, Mikhail Turbakov, Evgenii Kozhevnikov, and Vladimir Poplygin. 2020. "Modelling of the Dynamic Young’s Modulus of a Sedimentary Rock Subjected to Nonstationary Loading" Energies 13, no. 23: 6461. https://doi.org/10.3390/en13236461