We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
3D Free Vibration Analysis of Functionally Graded Plates with Arbitrary Boundary Conditions in Thermal Environment.
- Authors
Kang, Rui; Xin, Fengxian; Shen, Cheng; Lu, Tian Jian
- Abstract
An analytical method for free vibration of functionally graded (FG) plates with arbitrary boundary conditions in thermal environments is developed based on 3D elasticity theory. Material properties of the FG plate are assumed to be temperature dependent but graded along with its thickness. At the edges of the plate, three different sets of linear springs are introduced, so that its boundary condition can be altered by changing the spring stiffness. Each displacement component of the plate is expanded as a standard Fourier cosine series, supplemented with closed‐form auxiliary functions. With thermal environment effects duly accounted for, the energy method is used to derive eigenvalue equations, whereas the Rayleigh−Ritz procedure is utilized to calculate the natural frequencies of the FG plate. Numerical examples show that the present method converges quickly and gives satisfactory results. The method is then utilized to calculate the natural frequencies of FG plates having different aspect ratios, volume fractions, and elastic boundaries.
- Subjects
FREE vibration; FUNCTIONALLY gradient materials; EIGENVALUE equations; FOURIER series; MECHANICAL properties of condensed matter; FREE convection; RAYLEIGH model
- Publication
Advanced Engineering Materials, 2022, Vol 24, Issue 5, p1
- ISSN
1438-1656
- Publication type
Article
- DOI
10.1002/adem.202100636