Open AccessVibration analysis of rotating porous functionally graded material beams using exact formulation
Author(s) -
Mohammadreza Amoozgar,
Len Gelman
Publication year - 2021
Publication title -
journal of vibration and control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.734
H-Index - 68
eISSN - 1741-2986
pISSN - 1077-5463
DOI - 10.1177/10775463211027883
Subject(s) - porosity , vibration , beam (structure) , materials science , material properties , blade (archaeology) , functionally graded material , nonlinear system , power law , mechanics , structural engineering , composite material , mathematics , physics , engineering , acoustics , statistics , quantum mechanics
In this article, the exact free vibration of porous functionally graded rotating blades is investigated. The nonlinear 3D dynamics of the blade is simulated using the geometrically exact fully intrinsic beam equations, and the corresponding cross-sectional properties of the FG beam are developed. The material properties of the functionally graded material blade are graded through the thickness using a power law distribution. Furthermore, it is assumed that due to the manufacturing process, a level of porosity exists in the material which in turn can affect the material properties of the blade. Two porosity models resembling the even and uneven distributions of porosity are considered. First, the obtained results for a functionally graded material rotating blade are compared with those reported in the literature, and a very good agreement is observed. Furthermore, the effect of various parameters on the vibration of the functionally graded material beam is investigated. It is obtained that the dynamics of the rotating blade is sensitive to the type of the porosity due to manufacturing flaws. Moreover, the numerical results show that the blade length to height ratio, power law index, rotating speed and porosity distribution model affect the dynamics of the beam significantly.