An analytical method for free vibration analysis of functionally graded beams

SA Sina, HM Navazi, H Haddadpour - Materials & Design, 2009 - Elsevier
A new beam theory different from the traditional first-order shear deformation beam theory is
used to analyze free vibration of functionally graded beams. The beam properties are …

[HTML][HTML] Static and free vibration of axially loaded functionally graded beams based on the first-order shear deformation theory

TK Nguyen, TP Vo, HT Thai - Composites Part B: Engineering, 2013 - Elsevier
The first-order shear deformation beam theory for static and free vibration of axially loaded
rectangular functionally graded beams is developed. In this theory, the improved transverse …

Analytical solution of a cantilever functionally graded beam

Z Zhong, T Yu - Composites Science and Technology, 2007 - Elsevier
The problem of a cantilever functionally graded beam subjected to different loads is studied.
In terms of Airy stress function a general two-dimensional solution is presented for a …

Large amplitude vibration of carbon nanotube reinforced functionally graded composite beams with piezoelectric layers

M Rafiee, J Yang, S Kitipornchai - Composite Structures, 2013 - Elsevier
Large amplitude free vibration of functionally graded carbon nanotube reinforced composite
(CNTRC) beams with surface-bonded piezoelectric layers subjected to a temperature …

Thermo-mechanical vibration of FGM sandwich beam under variable elastic foundations using differential quadrature method

SC Pradhan, T Murmu - Journal of Sound and Vibration, 2009 - Elsevier
Thermo-mechanical vibration analysis of functionally graded (FG) beams and functionally
graded sandwich (FGSW) beams are presented. The functionally graded material (FGM) …

A mixed Ritz-DQ method for forced vibration of functionally graded beams carrying moving loads

SMR Khalili, AA Jafari, SA Eftekhari - Composite Structures, 2010 - Elsevier
A mixed method is presented to study the dynamic behavior of functionally graded (FG)
beams subjected to moving loads. The theoretical formulations are based on Euler …