|Autors: Jivkov, V. S., Zahariev, E., Nikolov, N. L.|
Title: Rotating cantilever beam with variable geometry – Frequencies and modal vectors
Keywords: Centrifugal accelerations, Modes of vibrations, Rotating can
Abstract: In the paper an approach to determination of the major (first, second, third…) natural frequencies and modal vectors is proposed. A differential transformations method (DTM) is applied, for which the partial differential equations which describe the free vibration of the beam are transformed to homogeneous systemof algebraic equations that define the modes of vibrations. Hence analytical expressions for computation are derived. For verification of the theoretical results numerical examples for the same cantilever beam are presented. In case of different angular velocities the time histories of the amplitudes of vibrations, respectively, of the frequencies, show the significant influence of the centrifugal accelerations, as well as coincidence with the analytical computations.
1. Todorov, G.D., Kamberov, K.H. Black box/white box hybrid method for virtual prototyping validation of multiphysics simulations and testing. IOP Conference Series: Materials Science and Engineering, Volume 878, Issue 1, 21 July 2020, Article number 012051. - 2020 - в издания, индексирани в Scopus или Web of Science
Вид: статия в списание, публикация в издание с импакт фактор, индексирана в Scopus и Web of Science