Affordable Access

Publisher Website

Natural frequencies of beams under compressive axial loads

Journal of Sound and Vibration
Publication Date
DOI: 10.1016/0022-460x(88)90397-5


Abstract A study of the influence of a constant axial compressive load on natural frequencies and mode shapes of a uniform single-span beam with ten different combinations of end conditions is presented. The relative critical buckling load is found to be the same for sliding-free, clamped-free and sliding-pinned beams, and similarly for free-free, pinned-free, pinned-pinned, clamped-sliding and sliding-sliding beams. Analytical results indicate that the variation of normalized natural frequency with normalized axial force is exactly the same for pinned-pinned, pinned-sliding and sliding-sliding beams and can be expressed in a closed form. Numerical results show that this closed-form expression roughly describes the above variation for sliding-free, clamped-clamped and clamped-sliding beams in a fundamental vibration mode. Further, in this mode, apart from a region close to buckling, the above variation is almost the same for clamped-pinned, pinned-free and free-free beams. The above closed-form expression could also be used for a beam with any kind of end conditions when the beam vibrates in a high mode. It is observed that Galef's formula, previously assumed to be valid for beams with all types of end constraints, is valid only for a few.

There are no comments yet on this publication. Be the first to share your thoughts.


Seen <100 times

More articles like this

Natural frequencies of beams under tensile axial l...

on Journal of Sound and Vibration Jan 01, 1990

Buckling and dynamic stability of spinning pre-twi...

on International Journal of Mecha... Jan 01, 1994

Vibrations of pretwisted spinning beams under axia...

on Journal of Sound and Vibration Jan 01, 1991

Parametric instability of spinning twisted Timoshe...

on International Journal of Mecha... Jan 01, 2010
More articles like this..