Since 1963
ARTICLE
Finite element formulation and free vibration analyses of rotating functionally graded blades
| 1 | Istanbul Technical University, Faculty of Aeronautics and Astronautics, Maslak, Istanbul, Turkey |
CORRESPONDING AUTHOR
Submission date: 2019-08-11
Final revision date: 2020-02-22
Acceptance date: 2020-04-16
Online publication date: 2020-11-06
Publication date: 2021-01-15
Journal of Theoretical and Applied Mechanics 2021;59(1):3–15
KEYWORDS
TOPICS
solid mechanicsstability and vibrations systemsmechanics of materialscomputational mechanicsstructures mechanicsclassical mechanics
ABSTRACT
In this study, free vibration characteristics of functionally graded (FG) blades whose material
properties change through the blade thickness are inspected. Finite Element Method
(FEM) is used to create blade models and to calculate natural frequencies. The blade formulations
are derived for both Euler-Bernoulli and Timoshenko beams to inspect the effect of
different parameters on vibration characteristics. For each beam, stiffness and mass matrices
are derived from energy expressions. In the solution part, effects of several parameters, i.e.
rotational speed, material properties, power law index parameter, different boundary conditions
and slenderness ratio are investigated. The calculated results are compared with those
in open literature and a very good agreement between them is confirmed, which reveals the
correctness and accuracy of the finite element formulation developed in this study. Formulations
are carried out in great detail and additionally, the results are displayed in several
figures and tables, which can be a significant source of information for authors working in
this area.
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