Calculation of Element Stiffness Matrix for Finite Element Analysis of Pile Dynamic Stability

Authors

  • Sarma Arnab
  • Sudipta Chakraborty
  • A.R. Kambekar

Abstract

For the purpose of analyzing the dynamic stability of pile structures under periodic loads, we have employed the Finite Element Method in this study. The soil modulus was assumed to vary linearly. We have formulated the Mathieu-Hill eigenvalue equation to analyze the stability and instability regions for different static and dynamic load factors. Our research provides valuable insights into the behavior of pile structures when subjected to dynamic loading. The findings can be utilized to design more stable and dependable structures, ultimately contributing to the development of a safer and more resilient built environment.

References

Abbas, B.A.H. and Thomas, J. (1978). Dynamic stability of Timoshenko beams resting on an elastic foundation.

Journal of Sound and Vibration, 60, 33–44.

Ahuja, R. and Duffield, R.C. (1975). Parametric instability of variable cross-section beams resting on an elastic

foundation. Journal of Sound and Vibration, 39(2), 159–174.

Beilu, E.A. and Dzhauelidze, G. (1952). Survey of work on the dynamic stability of elastic systems. PMM, 16,

–648.

Beliaev, N.M. (1924). Stability of prismatic rods subjected to variable longitudinal force. Engineering

Constructions and Structural Mechanics, 149–167.

Bolotin, V.V. (1964). The dynamic stability of elastic systems. Holden-Day Inc.

Brown, J.E., Hutt, J.M., and Salama, A.E. (1968). Finite element solution to dynamic stability of bars. AIAA

Journal, 6, 1423–1425.

Burney, S.Z.H. and Jaeqer, L.G. (1971). A method of determining the regions of instability of column by a

numerical methods approach. Journal of Sound and Vibration, 15(1), 75–91.

Chandrasekharan, V.S. (1978). Finite element analysis of piles subjected to lateral loads. Short-term course on

design of offshore structures, 3–15 July, 1978, Civil Engineering Department, I.I.T. Bombay, Publications.

Dutta, P.K. and Chakraborty, S. (1982). Parametric instability of tapered beams by finite element method. Journal

of Mechanical Engineering Science, London, 24(4), 205–208.

Lubkin, S. and Stoker, J.J. (1943). Stability of columns and strings under periodically varying forces. Quarterly of

Applied Mathematics, 1, 216-236.

Mettler, E. (1940). Biegeschwingungen eins stabes unter pulsierenre axiallast. Mith. Forseh.- Anst. GHH

Korzeren, 8, 1–12.

Pipes, L.A. (1964). Dynamic stability of a uniform straight column excited by pulsating load. Journal of the

Franklin Institute, 277(6), 534–551.

Chakraborty, Sudipta. (2007). A computational approach to the dynamic stability analysis of pile structures by

finite element method. In Proceedings of Challenges in New Millennium Conference (pp. 1–6). Bengal

Engineering & Science University ,(2007) Howrah.

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Published

2023-05-16

Issue

Vol. 9 No. 3 (2022)

Section

Research Article

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