Abstract
This paper introduces a simple quasi-3D theory with Reddy shear function and a new trigonometric shear function to conduct free vibration analysis of the functionally graded plates resting on Winkler/Pasternak/Kerr elastic foundation. The proposed transverse shear strain functions satisfy the stress-free boundary conditions on the surfaces of the functionally graded plate without using any shear correction factors. The governing differential equation and boundary conditions are derived based on Hamilton's principle and Winkler/Pasternak/Kerr type mathematical model. The material properties of FGM plates discussed in this paper are assumed to vary through the thickness according to the power-law distribution. The obtained results are compared with other 2D, quasi-3D and exact 3D solutions. The results show that the proposed trigonometric shear functions are more accurate than Reddy ones. Some interesting physical discussions of the recorded results are also given in this study.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
