Oscillations of retaining wall subject to Grob’s swelling pressure

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 es...

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Bibliographic Details
Published inScientific reports Vol. 12; no. 1; pp. 12224 - 10
Main Authors Kozlov, Maksim, Tulendinova, Aizhan, Kim, Jong, Ellis, Grant, Skrzypacz, Piotr
Format Journal Article
LanguageEnglish
Published London Nature Publishing Group UK 18.07.2022
Nature Publishing Group
Nature Portfolio
Subjects
639/166
639/166/986
Approximation
Boundary conditions
Civil engineering
Earthquakes
Humanities and Social Sciences
Mathematical models
multidisciplinary
Oscillations
Science
Science (multidisciplinary)
Seismic engineering
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ISSN2045-2322
2045-2322
DOI10.1038/s41598-022-15591-y

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Summary: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.
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ISSN:2045-2322
2045-2322
DOI:10.1038/s41598-022-15591-y