Engineering Mechanics

Proceedings Vol. 22 (2016)

ENGINEERING MECHANICS 2016

Copyright © 2016 Institute of Thermomechanics, Academy of Sciences of the Czech Republic, v.v.i., Prague

 

Uzny S., Sokol K., Osadnik M.
pages 595 - 598, full text

The non-linear vibrations of a slender system subjected to an external force applied between the elements of a structure are discussed in this paper. The boundary problem has been formulated on the basis of Hamilton’s principle and the small parameter method. Taking into account the solution of the boundary problem, the parameter describing the relation between the amplitude and natural vibration frequency has been obtained. In the presented investigations, only the first vibration frequency is discussed. The numerical simulations of the vibration frequencies are done for variable location of the external load.

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