Oscillations of retaining wall subject to Grob’s swelling pressure

Maksim Kozlov; Aizhan Tulendinova; Jong Kim; Grant Ellis; Piotr Skrzypacz

doi:10.1038/s41598-022-15591-y

Oscillations of retaining wall subject to Grob’s swelling pressure

Maksim Kozlov, Aizhan Tulendinova, Jong Kim, Grant Ellis, Piotr Skrzypacz

Research output: Contribution to journal › Article › peer-review

Abstract

The single-degree-of-freedom nonlinear problem describing the essential dynamics of an oscillating retaining wall based on non-quaking ground and subject to Grob’s swelling pressure is considered. The periodic solutions are derived using harmonic approximation. The amplitude-frequency relation is established by employing Lambert’s special function or alternatively using linearization of the nonlinear force. Analytical results are verified using numerical simulations.

Original language	English
Article number	12224
Journal	Scientific Reports
Volume	12
Issue number	1
DOIs	https://doi.org/10.1038/s41598-022-15591-y
Publication status	Published - Dec 2022

Funding

P.S. acknowledges the support for this work by research grant 021220FD4851 from Nazarbayev University. J.K. acknowledges the partial support from the project “HERCULES” within the RISE program of Horizon 2020 under Grant number 778360. The authors are grateful for this support. The authors acknowledge Prof. Mark Dunster from the San Diego State University for suggesting a way to approximate the improper integral for the period of oscillations.

Funders	Funder number
Horizon 2020 Framework Programme
EU Horizon 2020	778360
Nazarbayev University

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Oscillations of retaining wall subject to Grob’s swelling pressure

Abstract

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