Title: Linear programming method for buckling critical load of foundation piles in nonlinear foundation

Authors: Weizhe Li; Ping Lou

Addresses: Department of Railway Engineering, School of Civil Engineering, Central South University, Changsha 410012, China ' Department of Railway Engineering, School of Civil Engineering, Central South University, Changsha 410012, China

Abstract: Linear programming method is presented for calculation of the Buckling critical load of the pile in nonlinear soils. Matlab programming for buckling stability analysis of pile in nonlinear soils is self-provided. Cases analysis of buckling stability analysis for both test piles and model piles in nonlinear soils are done, and conclusions are derived as follows: (1); the key parameters λ and V in the transient buckling stability equation has extremely remarkable linear relationship with each other; (2) the buckling critical load of the pile will decrease with the increase of horizontal load at the top of the pile; (3) critical buckling load value of the pile in nonlinear soils is much smaller than that of the pile by m-method, and it is advised that nonlinear effects of soils should be carefully considered in application for critical buckling analysis of pile in practice.

Keywords: nonlinear soils; critical buckling analysis; transient buckling stability equation; linear programming method; critical buckling load; nonlinear effects; pile.

DOI: 10.1504/IJCSM.2021.117598

International Journal of Computing Science and Mathematics, 2021 Vol.13 No.4, pp.353 - 368

Received: 14 Oct 2019
Accepted: 02 Jan 2020
Published online: 15 Sep 2021 *

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