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Article

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Title

Dynamic Stability of a Three-Layer Beam – Generalisation of the Sandwich Structure Theory

Authors

[ 1 ] Instytut Matematyki, Wydział Automatyki, Robotyki i Elektrotechniki, Politechnika Poznańska | [ P ] employee

Scientific discipline (Law 2.0)

[2.7] Civil engineering, geodesy and transport

Year of publication

2024

Published in

Acta Mechanica et Automatica

Journal year: 2024 | Journal volume: vol. 18 | Journal number: no. 1

Article type

scientific article

Publication language

english

Keywords
EN
  • three-layer beam
  • fundamental natural frequency
  • unstable regions
  • mathematical modelling
  • shear effect
Abstract

EN The work focuses on the dynamic stability problem of a simply supported three-layer beam subjected to a pulsating axial force. Two analytical models of this beam are developed: one model takes into account the non-linear hypothesis of cross-section deformation, and the other takes into account the standard “broken line” hypothesis. Displacements, strains and stresses for each model are formulated in detail. Based on the Hamilton principle, equations of motion are determined for each of these models. These systems of two differential equations for each model are approximately solved with the consideration of the axial pulsating force, and the fundamental natural frequencies, critical forces and the Mathieu equation are determined. Detailed studies are performed for an exemplary family of beams. The stable and unstable regions are calculated for the three pulsating load cases. The values of fundamental natural frequencies and critical forces of exemplary beams calculated from two models are compared.

Pages (from - to)

1 - 7

DOI

10.2478/ama-2024-0001

URL

https://sciendo.com/article/10.2478/ama-2024-0001

License type

CC BY-NC-ND (attribution - noncommercial - no derivatives)

Open Access Mode

open journal

Open Access Text Version

final published version

Full text of article

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Access level to full text

public

Ministry points / journal

100

Impact Factor

1 [List 2023]

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