Open AccessVibration analysis of a rotating axially functionally graded tapered beam with hollow circular cross-section
Author(s) -
Shipeng Dong,
Liang Li,
Dingguo Zhang,
Yang Zhang
Publication year - 2019
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/531/1/012024
Subject(s) - axial symmetry , stiffening , cantilever , beam (structure) , vibration , radius , coupling (piping) , normal mode , natural frequency , bending , cross section (physics) , mechanics , structural engineering , mode coupling , physics , materials science , optics , engineering , acoustics , composite material , computer security , quantum mechanics , computer science
In this paper, the free vibrations of a rotating axially functionally graded (FG) tapered cantilever beam with hollow circular cross-section attached to a rigid hub are studied. To capture the additional dynamic stiffening terms, the longitudinal shrinkage of the beam is considered. The dynamic governing equations are derived via employing the assumed modes method and Lagrange’s equations. Through ignoring the higher-order quantities, the first order approximate coupling (FOAC) dynamic model can be acquired. Based on the FOAC dynamic model, influences of the angular speed, the taper ratio, the hub radius, the slenderness ratio, and the functionally gradient index on natural frequencies are studied. Frequency veering and mode shape interaction of the system are discussed when the bending-stretching (B-S) mode coupling effect of the beam is considered.