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Analytical investigation of a beam on elastic foundation with nonsymmetrical properties

Wstawska Iwona, Magnucki Krzysztof, Kędzia Piotr

Engineering Transactions

2022

Vol. 70, iss. 1

77--93

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.

Approximate estimation of stability of homogeneous beam on elastic foundation

Wstawska Iwona, Kędzia Piotr, Magnucki Krzysztof

Engineering Transactions

2019

Vol. 67, iss. 3

429--440

The paper deals with a proposition of obtaining an analytical solution for a beam on elastic foundation. The main objective of presented work was stability analysis of the axially compressed beam. The analytical model was proposed. Shape function for inhomogeneous properties of the foundation was assumed. The Galerkin method was used to calculate the values of critical forces. Main conditions have been defined. The critical loads as a function of geometric and mechanical properties of the beam as well as inhomogeneous properties of the elastic foundation have been calculated.