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1
Content available Analytical investigation of a beam on elastic foundation with nonsymmetrical properties
Wstawska Iwona, Magnucki Krzysztof, Kędzia Piotr
Engineering Transactions
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2022
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Vol. 70, iss. 1
77--93
EN
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.
2
Content available The influence of Helmholtz and Golay coil homogenity on rectangular plate bending
Kędzia Piotr, Kosma Zbigniew
TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk
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2020
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Vol. 24, No 1
5--16
EN
The subject of the paper is a rectangular plate. The structure of the plate issymmetrical. The plate is made of a cellular structure of a core and two external faces. There isferrofluid in each cell of the porous core. The core is made of polyethylene foam and two facesare polyurethane sheets. It is assumed that cells in the core are regular and dense and the facesare thin, therefore, a plate filled in with ferrofluid can be treated as homogeneous. The plateis placed in the magnetic field. The magnetic field is generated by two systems of coils – theHelmholtz coil (HC ) and the Golay coil (GC). The former generates an almost fixed magneticfield in the considered volume (where the plate is placed), and the latter generates a gradientmagnetic field. The changing size of each subsystem of magnetic field coils, the distribution andstrength of the magnetic field change as well. The magnetic field induces loads in the plate,both perpendicular and in plane. The plate bending function is approximated by the bicubicspline function presented by normalized B-spline functions. The influence of changes in thehomogeneity volume and the magnetic field strength (by changing the coil size) on the platebending is analyzed in the paper. The results of the analysis are presented in tables and figures.
3
Content available remote Approximate estimation of stability of homogeneous beam on elastic foundation
Wstawska Iwona, Kędzia Piotr, Magnucki Krzysztof
Engineering Transactions
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2019
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Vol. 67, iss. 3
429--440
EN
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.
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