An analytical method for free vibration analysis of functionally graded beams

By S. Sina, H. M. Navazi, Hassan Haddadpour. 2009

440 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Control and Systems Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/2cd3e78ce6042aa8f9125a9268fa87148635bbce

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In Civil and Structural Engineering

In Control and Systems Engineering

In Mechanics of Materials

Citations in the corpus

An analytical study on the nonlinear vibration of functionally graded beams (2010, background): “Although many studies [19–27] on the linear dynamic analyses of FGM beams have been reported, to the best of authors’ knowledge, no previous work has been done on the nonlinear free vibration of FGM beams.”
Modeling and analysis of functionally graded sandwich beams: a review (2019, background): “FSDT [45], [48], [53], [57]–[59], [61]–[63], [69], [71], [74], [86], [87], [91], [95], [99], [102]–[104], [110], [112], [117], [119], [125], [128]–[131], [136], [137], [141], [142], [147], [150], [152], [155], [157]–[160], [162], [163], [166]–[168], [170], [173]–[175], [179], [187], [199]–[201], [21”
An analytical method for temperature-dependent free vibration analysis of functionally graded beams with general boundary conditions (2010, methodology): “[7] introduced a new beam method to analyze the free vibration of functionally graded beams.”
Geometrically nonlinear free vibration analysis of axially functionally graded taper beams (2015, methodology): “Analysis of free vibration of FG beams was also carried out by [23,41,42]; who used different techniques to solve the governing equations obtained from application of Hamilton's principle.”
Large amplitude nonlinear vibration analysis of functionally graded Timoshenko beams with porosities (2015, methodology): “[11] employed modified and traditional first order shear deformation theories to deal with vibration problem of FGM beams, using an analytical method.”
Fundamental frequency analysis of functionally graded sandwich beams based on the state space approach (2016, methodology): “[8] also applied FOBT to analyse free vibration of”
Static Analysis of a Functionally Graded Beam under a Uniformly Distributed Load by Ritz Method (2009, background): “Sina et al. [ 14 ] used a new beam theory different from the traditional first-order shear deformation beam theory to analyze the free vibration of a FG beams.”