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Investigation of Natural Frequencies of Piles Partially Embedded in Elastic Soil Using Transfer Matrix Method

Year 2018, Volume: 2 Issue: 1, 54 - 61, 10.07.2018

Abstract

This study aims to calculate exact natural
frequencies of piles partially embedded in elastic soil by using transfer
matrix method (TMM). The elastic soil is considered as Winkler foundation model
using linear springs. The piles are modelled as Timoshenko beam-columns. The
transfer matrices of piles are constructed after obtaining end forces and end
displacements of piles using governing equation of motion of Timoshenko
beam-columns. Different soil conditions are used to show their effects on
natural frequencies of piles partially embedded in Winkler foundation.
Moreover, the results are tabulated comparatively with finite element solutions
that obtained from structural analysis software SAP2000.

References

  • Ai, Z. Y., Liu, C. H., Wang, L. J. & Wang, L. H. 2016. Vertical vibration of a partially embedded pile group in transversely isotropic soils. Computers and Geotechnics, 80, 107-114.
  • Attar, M. 2012. A transfer matrix method for free vibration analysis and crack identification of stepped beams with multiple edge cracks and different boundary conditions. International Journal of Mechanical Sciences, 57, 19-33.
  • Catal, H. H. 2006. Free vibration of semi-rigid connected and partially embedded piles with the effects of the bending moment, axial and shear force. Engineering and Structures, 28, 1911-1918.
  • Ceaşu, V., Crafifalenau, A. & Dragomirescu, C. 2010. Transfer matrix method for forced vibrations of bars. UPB Scientific Bulletin, Series D: Mechanical Engineering, 2, 35-42.
  • Hu, A., Fu, P., Xia, C. & Xie, K. 2016. Lateral dynamic response of a partially embedded pile subjected to combined loads in saturated soil. Marine Georesources&Geotechnology, 35(6), 788-798.
  • Lee, J. W. & Lee, J. Y. 2016. Free vibration analysis of functionally graded Bernoulli-Euler beams using an exact transfer matrix expression. Computers and Structures, 164, 75-82.
  • Lee, J. W. & Lee, J. Y. 2017. Free vibration analysis using the transfer-matrix method on a tapered beam. International Journal of Mechanical Sciences, 122, 1-17.
  • Lee, J. W. & Lee, J. Y. 2018. An exact transfer matrix expression for bending vibration analysis of a rotating tapered beam. Applied Mathematical Modelling, 53, 167-188.
  • Lin, H. & Chang, S. C. 2005. Free vibration analysis of multi-span beams with intermediate flexible constraints. Journal of Sound and Vibration, 281, 155-169.
  • Lu, J. & Luan, H. 2014. Free Vibration Analysis of a Periodic Viaduct Supported by Pile Foundations. Journal of Bridge Engineering, 19(11), 04014049.
  • Wu, J. & Chang, B. 2015. Free vibration of axial-loaded multi-step Timoshenko beam carrying arbitrary concentrated elements using continuous-mass transfer matrix method. European Journal of Mechanics / A Solids, 38, 20-37.
  • Yesilce, Y. & Catal, H. H. 2008a. Free vibration of piles embedded in soil having different modulus of subgrade reaction. Applied Mathematical Modelling, 32(5), 889-900.
  • Yesilce, Y. & Catal, H. H. 2008b. Free vibration of semi-rigid connected Reddy-Bickford piles embedded in elastic soil. Sadhana, 33(6), 781-801.
Year 2018, Volume: 2 Issue: 1, 54 - 61, 10.07.2018

Abstract

References

  • Ai, Z. Y., Liu, C. H., Wang, L. J. & Wang, L. H. 2016. Vertical vibration of a partially embedded pile group in transversely isotropic soils. Computers and Geotechnics, 80, 107-114.
  • Attar, M. 2012. A transfer matrix method for free vibration analysis and crack identification of stepped beams with multiple edge cracks and different boundary conditions. International Journal of Mechanical Sciences, 57, 19-33.
  • Catal, H. H. 2006. Free vibration of semi-rigid connected and partially embedded piles with the effects of the bending moment, axial and shear force. Engineering and Structures, 28, 1911-1918.
  • Ceaşu, V., Crafifalenau, A. & Dragomirescu, C. 2010. Transfer matrix method for forced vibrations of bars. UPB Scientific Bulletin, Series D: Mechanical Engineering, 2, 35-42.
  • Hu, A., Fu, P., Xia, C. & Xie, K. 2016. Lateral dynamic response of a partially embedded pile subjected to combined loads in saturated soil. Marine Georesources&Geotechnology, 35(6), 788-798.
  • Lee, J. W. & Lee, J. Y. 2016. Free vibration analysis of functionally graded Bernoulli-Euler beams using an exact transfer matrix expression. Computers and Structures, 164, 75-82.
  • Lee, J. W. & Lee, J. Y. 2017. Free vibration analysis using the transfer-matrix method on a tapered beam. International Journal of Mechanical Sciences, 122, 1-17.
  • Lee, J. W. & Lee, J. Y. 2018. An exact transfer matrix expression for bending vibration analysis of a rotating tapered beam. Applied Mathematical Modelling, 53, 167-188.
  • Lin, H. & Chang, S. C. 2005. Free vibration analysis of multi-span beams with intermediate flexible constraints. Journal of Sound and Vibration, 281, 155-169.
  • Lu, J. & Luan, H. 2014. Free Vibration Analysis of a Periodic Viaduct Supported by Pile Foundations. Journal of Bridge Engineering, 19(11), 04014049.
  • Wu, J. & Chang, B. 2015. Free vibration of axial-loaded multi-step Timoshenko beam carrying arbitrary concentrated elements using continuous-mass transfer matrix method. European Journal of Mechanics / A Solids, 38, 20-37.
  • Yesilce, Y. & Catal, H. H. 2008a. Free vibration of piles embedded in soil having different modulus of subgrade reaction. Applied Mathematical Modelling, 32(5), 889-900.
  • Yesilce, Y. & Catal, H. H. 2008b. Free vibration of semi-rigid connected Reddy-Bickford piles embedded in elastic soil. Sadhana, 33(6), 781-801.
There are 13 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

Baran Bozyigit

İrem Bozyigit This is me

Publication Date July 10, 2018
Published in Issue Year 2018 Volume: 2 Issue: 1

Cite

APA Bozyigit, B., & Bozyigit, İ. (2018). Investigation of Natural Frequencies of Piles Partially Embedded in Elastic Soil Using Transfer Matrix Method. Eurasian Journal of Civil Engineering and Architecture, 2(1), 54-61.
AMA Bozyigit B, Bozyigit İ. Investigation of Natural Frequencies of Piles Partially Embedded in Elastic Soil Using Transfer Matrix Method. EJCAR. July 2018;2(1):54-61.
Chicago Bozyigit, Baran, and İrem Bozyigit. “Investigation of Natural Frequencies of Piles Partially Embedded in Elastic Soil Using Transfer Matrix Method”. Eurasian Journal of Civil Engineering and Architecture 2, no. 1 (July 2018): 54-61.
EndNote Bozyigit B, Bozyigit İ (July 1, 2018) Investigation of Natural Frequencies of Piles Partially Embedded in Elastic Soil Using Transfer Matrix Method. Eurasian Journal of Civil Engineering and Architecture 2 1 54–61.
IEEE B. Bozyigit and İ. Bozyigit, “Investigation of Natural Frequencies of Piles Partially Embedded in Elastic Soil Using Transfer Matrix Method”, EJCAR, vol. 2, no. 1, pp. 54–61, 2018.
ISNAD Bozyigit, Baran - Bozyigit, İrem. “Investigation of Natural Frequencies of Piles Partially Embedded in Elastic Soil Using Transfer Matrix Method”. Eurasian Journal of Civil Engineering and Architecture 2/1 (July 2018), 54-61.
JAMA Bozyigit B, Bozyigit İ. Investigation of Natural Frequencies of Piles Partially Embedded in Elastic Soil Using Transfer Matrix Method. EJCAR. 2018;2:54–61.
MLA Bozyigit, Baran and İrem Bozyigit. “Investigation of Natural Frequencies of Piles Partially Embedded in Elastic Soil Using Transfer Matrix Method”. Eurasian Journal of Civil Engineering and Architecture, vol. 2, no. 1, 2018, pp. 54-61.
Vancouver Bozyigit B, Bozyigit İ. Investigation of Natural Frequencies of Piles Partially Embedded in Elastic Soil Using Transfer Matrix Method. EJCAR. 2018;2(1):54-61.

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