Effect of functionally graded materials on resonances of rotating beams
Radially rotating beams attached to a rigid stem occur in several important engineering applications, such as helicopter and turbine blades and certain aerospace applications. In most studies the beams have been treated as homogeneous. Here, with a goal of system improvement, non-homogeneous beams made of functionally graded materials are explored. Effects on natural frequency and coupling between rigid and elastic motions are investigated. Euler-Bernoulli theory, with Young’s modulus and density varying in a power law fashion, together with an axial stiffening effect, are employed. The equations of motion are derived using a variational method and an assumed mode approach. Results for the homogenous and non-homogeneous cases are treated and compared. Preliminary results show that allowing the Young’s modulus and the density to vary by approximately 2.15 and 1.15 times, respectively, gives an increase of 28% in the lowest bending natural frequency of the beam, an encouraging trend.
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© Springer Science+Businees Media, LLC 2011
Mazzei, Arnaldo J. Jr. and Scott, Richard A., "Effect of functionally graded materials on resonances of rotating beams" (2011). Mechanical Engineering Publications. 197.