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- Title
Free Vibration of Axially Inhomogeneous Beams that are Made of Functionally Graded Materials.
- Authors
Yong Huang; Hai-Wu Rong
- Abstract
A simple approach to deal with an engineering problem of free vibration of functionally graded beams with nonuniform cross-sections where the material properties arbitrarily vary along the axial direction is presented. Instead of directly solving the fourth-order governing differential equation with variable coefficients, we transform the governing equation to a system of linear algebraic equations based on the polynomial expansion and integral technique. Then, a characteristic equation in natural frequencies will be obtained. Several examples of estimating natural frequencies for axially graded beams and non-uniform beams are presented, which show that our method has a fast convergence and the obtained numerical results are accurate. The proposed method is important to investigate because of the dynamic behavior of axially non-uniform beams in engineering applications.
- Subjects
FREE vibration; INHOMOGENEOUS materials; GIRDER vibration; FUNCTIONALLY gradient materials; LINEAR algebraic groups
- Publication
International Journal of Acoustics & Vibration, 2017, Vol 22, Issue 1, p68
- ISSN
1027-5851
- Publication type
Article
- DOI
10.20855/ijav.2017.22.1452