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

Yıl 2018, Cilt: 2 Sayı: 1, 54 - 61, 10.07.2018

Baran Bozyigit İrem Bozyigit

Öz

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.

Anahtar Kelimeler

Natural frequency, partially embedded pile, transfer matrix method, Winkler foundation

Kaynakça

• 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.