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

Sci Rep. 2022 Jul 18;12(1):12224. doi: 10.1038/s41598-022-15591-y.

Authors

Maksim Kozlov¹, Aizhan Tulendinova², Jong Kim³, Grant Ellis⁴, Piotr Skrzypacz⁵

Affiliations

¹ Center for Preparatory Studies, Nazarbayev University, 53 Kabanbay Batyr Ave, Nur-Sultan, 010000, Kazakhstan.
² Department of Mathematics, School of Sciences and Humanities, Nazarbayev University, 53 Kabanbay Batyr Ave, Nur-Sultan, 010000, Kazakhstan.
³ Department of Civil and Environmental Engineering, School of Engineering and Digital Sciences, Nazarbayev University, 53 Kabanbay Batyr Ave, Nur-Sultan, 010000, Kazakhstan.
⁴ Unaffiliated, Seattle, USA.
⁵ Department of Mathematics, School of Sciences and Humanities, Nazarbayev University, 53 Kabanbay Batyr Ave, Nur-Sultan, 010000, Kazakhstan. piotr.skrzypacz@nu.edu.kz.

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.

Publication types

Research Support, Non-U.S. Gov't

MeSH terms

Employment
Nonlinear Dynamics*
Physical Therapy Modalities*