Effect Of Axial Load On Forced Vibrations Of Beams

The steady state linear response of beams subjected to a distributed, harmonically varying, transverse force is considered. A static axial load, either tensile or compressive, is also applied to the beam, and damping is included in the analysis. Four standard sets of boundary conditions are treated. The influence of the axial load on the response is investigated, with attention focused on the maximum amplitude of the central deflection over all possible forcing frequencies. Approximate formulas are proposed for the effect of axial load on this maximum response and on the corresponding forcing frequency. The first of these formulas is then compared to a similar approximation for the central deflection when the transverse force is static rather than harmonic. © 1993 Academic Press. All rights reserved.

Duke Scholars

Author Lawrence N. Virgin Thomas Lord Department of Mechanical Engineering and Materia ...