Free vibration and buckling analyses of functionally graded beams with edge cracks

By Jie Yang, Y. Chen. 2008

279 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/925081624c0d486d29153f9583171908f3383a59

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In Civil and Structural Engineering

In Control and Systems Engineering

In Mechanics of Materials

Citations in the corpus

Two-dimensional elasticity solutions for functionally graded beams resting on elastic foundations (2008, methodology): “Since it assures exact solutions, exponential function was also used widely for obtaining theoretical analyses of FGM structures, see [17–19] for example.”
Bending and free vibration of functionally graded beams using various higher-order shear deformation beam theories (2012, background): “For moderately deep FG beams, the CBT underestimates deflection and overestimates natural frequency due to ignoring the transverse shear deformation effect [1-3].”
An analytical study on the nonlinear vibration of functionally graded beams (2010, background): “The present results agree very well with the results obtained by Yang and Chen [ 22 ] based on Euler-Bernoulli beam.”
Free Vibration Behavior of Exponential Functionally Graded Beams with Varying Cross-section (2011, methodology): “The natural frequencies obtained in the present study for uniform FGM beam are in excellent agreement with those given by Yang and Chen (2008) and Yang et al. (2008).”
Relations between buckling loads of functionally graded Timoshenko and homogeneous Euler-Bernoulli beams (2013, background): “By searching for similarities between differential equations for eigenvalues of a simply supported FGM polygonal plate and those of the frequency of a clamped membrane geometrically identical to the midsurface of the plate, Cheng and Batra [16] presented a relation between the eigenvalues (critical ”
Static Analysis of a Functionally Graded Beam under a Uniformly Distributed Load by Ritz Method (2009, methodology): “Yang and Chen [ 8 ] studied the free vibration and elastic buckling of FG beams with open edge cracks by using Euler-Bernoulli beam theory.”
Nonlinear bending analysis of FGM beams based on physical neutral surface and high order shear deformation theory (2013, unknown): “More works can be seen in [13–20].”