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Prediction of Circular Frequency of Precast Concrete Piles with Distributed Mass by Resonance Moment–Displacement Approach

Temple Nwofor, Sule, S.


This paper presents the results of circular natural frequency of single piles from critical buckling load by resonance moment-displacement approach. The support end conditions considered are pinned-pinned, fixed-fixed, and fixed-pinned respectively. It was assumed that resonance moment occurs when the bending moment diagram is made equal to zero at the supports while the resonance displacement is the sum total deflections resulting from the system reduction to an equivalent pinned-pinned system. A computer program coded in basic language was invoked to estimate the circular natural frequency of vibration of single piles from critical buckling load through evaluation of displacements and linear elastic stiffness of the pile. The predicted values of circular frequency (ω) of vibration for the various support conditions considered agreed favourably with those obtained from literature serving as the control points showing that resonance-buckling criterion is a useful tool for the prediction of natural circular frequency of vibration of single piles with distributed mass.


Keywords: Circular natural frequency, vibration, single piles, critical buckling load, resonance moment, elastic stiffness, distributed mass

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Tomlinson, M.J. (1986): Foundation Design and Construction, 5th Edition. Educational Low-priced Books Scheme (ELBS), Longman publishers (UK) Ltd, pp 398-589.

Yang, E.K; Kwon; Choi, J.I; Kim, M.M.(2010): “Prediction of the Natural Frequency of Pile Foundation System in sand during Earthquake”. [Available: https//].

Smith, G.N (1981) Elements of Soil Mechanics for Civil and Mining Engineers. Fourth Edition. Granada.

Bhattacharya .S, Carrington T.M; Aldridge T.R. (2005): “Buckling considerations in pile design”. Fugro Limited, United Kingdom. Frontiers in Offshore Geotechnics: ISFOG 2005-Gourvenec & Cassidy (eds), Taylor & Francis Group, London, ISBN 0 415 39063 X

Haldar, S; Babu, G.L.S, and Bhattacharya, S. (2008): “Buckling and bending response of slender piles in liquefiable soils during earthquakes”. Journal of Geo mechanics and Geoengineering, 2008. 22;3(2):129-43

Cheng J.U; Nakamura, H; Komura, S; and Shiratori, Y. (2013): “Analysis on shear failure behaviour of PHC-pile. Proceedings of the 13th East Asia-pacific Conference on Structural Engineering and Construction (EASEC-13), September 11-13, 2013, Sapporo, Japan.

Xiao, W; Qingqiao, W; and Junjie, W. (2008): “Damage patterns and failure mechanisms of Bridge pile foundation under Earthquake”. The 14th World Conference on Earthquake Engineering. October 12-17, 2008, Beijing, China.

Bhattacharya, S; Adhikari, S; Alexander, N.A. (2009): “A simplified method for unified buckling and free vibration analysis of pile-supported structures in seismically liquefiable soils”. Soil Dynamics and Earthquake Engineering, 29, (2009), pp 1220-1235.

Barley, A.D., Woodward, M.A. (1992): “High loading of long slender minipiles”. Proc. Institute of Civil Engineers. Conference on Piling: European Practice and Worldwide trends, London, April 7-9, pp.131-136.

Shatri,V; Bozo, L; Shefkiu, B; and Shatri, B. (2014): ”Analysis of Buckling of Piles Fully Embedded in Ground according to Finite Element Method”. International Journal of Current Engineering and Technology, Vol.4, No.1 (February 2014). 4(1):201-5.

Jianjun M. A; Wang, J.P.L; and Zhao, Y. (2013): Critical load and buckling of the single pile foundation subjected to the vertical load. The 4th Symposium on the Mechanics of Slender Structures (MoSS2013). Journal of Physics: Conference Series 448 (2013) 012009.

Johnarry T.N. (2013): “Buckling by Constant Stiffness and Curvature-Deflection Resonance”. Journal of Civil Engineering Research 2013, 3(1): 1-15.

Johnary, T.N., (2016): Effective vibration length from effective buckling length. International Review of Civil Engineering (I.R.E.C.E), vol. 7, No. 2, March, 2016.

British Standard BS 8110: Part 1: 1997 “Structural Use of Concrete”. Part 1: Code of Practise for Design and Construction, British Standard Institute.

Biggs, J.M (1980): Introduction to Structural Dynamics. McGraw Hill Education (India) Private Limited, New Delhi.



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