Fundamental frequency analysis of functionally graded sandwich beams based on the state space approach

Trinh, Luan, Vo, Thuc, Osofero, Israel and Lee, Jaehong (2016) Fundamental frequency analysis of functionally graded sandwich beams based on the state space approach. Composite Structures, 156. pp. 263-275. ISSN 1879 1085

[img]
Preview
Text
COST-D-15-01835.pdf - Accepted Version

Download (820kB) | Preview
Official URL: http://dx.doi.org/10.1016/j.compstruct.2015.11.010

Abstract

The state space approach is used to provide analytical solution for fundamental frequency analysis of functionally graded sandwich beams. The classical beam theory, first-order and higher-order shear deformation theories are employed to consider beams of various classical and non-classical boundary conditions. Governing equations of motions are derived from Hamilton's principle. The research investigates the effect of boundary conditions on the fundamental frequency with nine combinations of classical boundary conditions created from clamped, hinged, pinned and free conditions in accordance with three combinations of non-classical boundary conditions created from the assumption of an elastic support. In addition, the influence of material parameter and arrangement of layers as well as the slenderness ratio in vibration of functionally graded sandwich beams is examined.

Item Type: Article
Uncontrolled Keywords: Vibration, functionally graded sandwich beams, state space approach, non-classical boundary conditions
Subjects: H200 Civil Engineering
H300 Mechanical Engineering
Department: Faculties > Engineering and Environment > Mechanical and Construction Engineering
Depositing User: Thuc Vo
Date Deposited: 20 Nov 2015 16:05
Last Modified: 10 May 2017 12:10
URI: http://nrl.northumbria.ac.uk/id/eprint/24580

Actions (login required)

View Item View Item

Downloads

Downloads per month over past year

View more statistics


Policies: NRL Policies | NRL University Deposit Policy | NRL Deposit Licence