Engineering Mechanics

Proceedings Vol. 29 (2023)

ENGINEERING MECHANICS 2023

Copyright © 2023 Institute of Thermomechanics of the Czech Academy of Sciences, Prague

 

Musil M., Úradníček J., Páleník M.
pages 171 - 174, full text

The article using an example of a FEM model describes decreasing tendency of natural frequencies in a context of a local reduction of beam stiffness for specific areas, named pliable regions. It is demonstrated that the drop in natural frequencies also depends on the location of the pliable region, because different curvatures of individual modes relate to a specific position on the beam, which are related to an extent of deformation during bending oscillation. Degree of curvature of modes has an effect on a degree of decrease of their corresponding natural frequencies. Based on these statements, the principle of locating the pliable region on the beam is formulated based on a comparison of drops ratio of natural frequencies of the considered model with the polynomially approximated ratios. This method of locating pliable regions can be used in practice to diagnose machines or structures using an impact test.

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