The Second Spectrum of Timoshenko Beam

Ana Carolina Azevedo Vasconcelos¹; Anderson Soares da Costa Azevêdo¹; Simone dos Santos Hoefel¹

¹ Universidade Federal do Piauí

doi:10.20906/CPS/CON-2016-1050

Resumo

Early researchers reported that for hinged-hinged beam, two distinct natural frequencies correspond to the same spatial mode shape and that it establish the existence of a second distinct frequency spectrum. This phenomenon was received the terminology of the "Second Spectrum of Timoshenko Beam". However some investigators reported that the single frequency spectrum interpretation has the same sets of frequencies calculated from the "two spectra". The objective of this paper is to provide an analysis of the solution of Timoshenko beam equations for higher modes and discuss their complex dynamical behavior. Numerical examples presented in literature are re-examined.

Palavras-chave: Timoshenko Beam; Second Spectrum; Vibrations