Finite element model for vibration and buckling of functionally graded sandwich beams based on a refined shear deformation theory is presented. The core of sandwich beam is fully metal or ceramic and skins are composed of a functionally graded material across the depth. Governing equations of motion and boundary conditions are derived from the Hamilton?s principle. Effects of power-law index, span-to-height ratio, core thickness and boundary conditions on the natural frequencies, critical buckling loads and load?frequency curves of sandwich beams are discussed. Numerical results show that the above-mentioned effects play very important role on the vibration and buckling analysis of functionally graded sandwich beams.
Bibliographical noteThe first author gratefully acknowledges research support fund for UoA16 from Northumbria University. The third author gratefully acknowledges financial support from Vietnam National Foundation for Science and Technology Development (NAFOSTED) under Grant Number 107.02-2012.07. The fifth author gratefully acknowledges financial support by the Basic Research Laboratory Program of the National Research Foundation of Korea(NRF) funded by the Ministry of Education, Science and Technology (2010-0019373 and 2012R1A2A1A01007450).
- Functionally graded sandwich beams
- Finite element