Engineering Transactions, 70, 1, pp. 77–93, 2022

Analytical Investigation of a Beam on Elastic Foundation with Nonsymmetrical Properties

Iwona Małgorzata WSTAWSKA
Poznan University of Technology

Krzysztof MAGNUCKI
ORCID ID 0000-0003-2251-4697
Łukasiewicz Research Network – Rail Vehicles Institute “TABOR”

ORCID ID 0000-0001-9934-840X
Poznan University of Technology

The subject of presented analytical and numerical investigation is the stability of  an axially compressed beam on an elastic foundation. The shape function of the foundation was assumed. The formula was supplemented with the offset parameter. The critical values of loads were calculated and presented as a function of geometric and mechanical properties of the beam and nonsymmetrical properties of the elastic foundation. The highest values of critical loads can be obtained for the highest values of shape parameter and the lowest values of amplitudes of shape function. The values of critical loads increase with the increase of the value of the offset parameter.

Keywords: homogeneous beam; elastic foundation; critical load; nonsymmetrical properties
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DOI: 10.24423/EngTrans.1254.20220314