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Mathematical Analysis of Vertical Vibration for Circular Rigid Foundation Resting on Soil Surface
In this study, a dynamic analysis of a circular rigid foundation resting on the soil surface is carried out. An elastic half-space theory is used to compute the response of a circular foundation subjected to a vertical oscillation. The work deals essentially with the effect of Poisson’s ratio μ. Besides, the work aims to study the effect of the dimension of rigid circular foundation (foundation radius ro) and dimensionless frequency a0 on the maximum vertical displacement of the foundation under vertical dynamic load. Two relationships have been conducted, one for dynamic stiffness versus dimensionless frequency a0 and the other between damping coefficients versus dimensionless frequency a0 for various new values of Poisson’s ratio which have not been studied earlier. The dynamic stiffness (Kdyn) and dynamic damping (Cdyn) were used to estimate the maximum vertical displacement of the foundation. Results showed that the vertical dynamic stiffness coefficient is more affected by a variation of Poisson’s ratio values than the vertical damping coefficient. Consequently, the dynamic stiffness plays the main role of estimating the maximum displacement of the circular foundation for low values of dimensionless frequency a0. In conclusion, the effect of Poisson’s ratio μ appears and increases gradually with increasing of dimensionless frequency a0.
Mathematical Analysis of Vertical Vibration for Circular Rigid Foundation Resting on Soil Surface
In this study, a dynamic analysis of a circular rigid foundation resting on the soil surface is carried out. An elastic half-space theory is used to compute the response of a circular foundation subjected to a vertical oscillation. The work deals essentially with the effect of Poisson’s ratio μ. Besides, the work aims to study the effect of the dimension of rigid circular foundation (foundation radius ro) and dimensionless frequency a0 on the maximum vertical displacement of the foundation under vertical dynamic load. Two relationships have been conducted, one for dynamic stiffness versus dimensionless frequency a0 and the other between damping coefficients versus dimensionless frequency a0 for various new values of Poisson’s ratio which have not been studied earlier. The dynamic stiffness (Kdyn) and dynamic damping (Cdyn) were used to estimate the maximum vertical displacement of the foundation. Results showed that the vertical dynamic stiffness coefficient is more affected by a variation of Poisson’s ratio values than the vertical damping coefficient. Consequently, the dynamic stiffness plays the main role of estimating the maximum displacement of the circular foundation for low values of dimensionless frequency a0. In conclusion, the effect of Poisson’s ratio μ appears and increases gradually with increasing of dimensionless frequency a0.
Mathematical Analysis of Vertical Vibration for Circular Rigid Foundation Resting on Soil Surface
Lecture Notes in Civil Engineering
Karkush, Mahdi O. (editor) / Choudhury, Deepankar (editor) / Mohammed, Ahmed I. (author) / Al-Sulayvani, Bayar J. (author) / Jaro, Mohammed N. (author)
Modern Applications of Geotechnical Engineering and Construction ; Chapter: 27 ; 317-328
2020-12-22
12 pages
Article/Chapter (Book)
Electronic Resource
English
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