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The Differences in the Shape of Characteristic Curves of a Column Subjected to Eulers Load Obtained on the Basis of Bernoulli- Euler and Timoshenko Theories |
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PP: 2025-2033 |
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doi:10.18576/amis/100604
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Author(s) |
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Sebastian Uzny,
Krzysztof Sokol,
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Abstract |
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| In this paper the formulation of the boundary problem of the natural vibration frequency on the basis of Hamiltons principle
with consideration of Timoshenko theory has been presented. The investigated column is loaded by external compressive load with
constant line of action (Eulers load). Introduction of discreet elements such as springs on both ends of the column allows one to
create the general form of boundary conditions. The proper set of their stiffness corresponds to different boundary conditions. In this
study an influence of slenderness and external load as well as boundary condition on the shape of characteristic curves calculated with
consideration of Bernoulli- Euler and Timoshenko theories has been shown. The presented results show the direction of proper choice
of the beam theory in the studies on natural vibration frequency of slender supporting systems. |
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