The effect of influence of conservative and tangential axial forces on transverse vibrations of tapered vertical columns

Jerzy Jaroszewicz



Leszek Radziszewski



Łukasz Dragun




Abstrakt

The Cauchy function and characteristic series were applied to solve the boundary value problem of free transverse vibrations of vertically mounted, elastically supported tapered cantilever columns. The columns can be subjected to universal axial point loads which considerate – conservative and follower /tangential/ forces, and to distributed loads along the cantilever length. The general form of characteristic equation was obtained taking into account the shape of tapered cantilever for attached and elastically secured. Bernstein-Kieropian double and higher estimators of natural frequency and critical loads were calculated based on the first few coefficients of the characteristic series. Good agreement was obtained between the calculated natural frequency and the exact values available in the literature.


Słowa kluczowe:

transverse vibrations, vertical cantilever, boundary value problem


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Opublikowane
16-08-2017

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Jaroszewicz, J., Radziszewski, L., & Dragun, Łukasz. (2017). The effect of influence of conservative and tangential axial forces on transverse vibrations of tapered vertical columns. Technical Sciences, 20(4), 333–342. https://doi.org/10.31648/ts.5431

Jerzy Jaroszewicz 

Leszek Radziszewski 

Łukasz Dragun 








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