A Combined Fourier Series–Galerkin Method for the Analysis of Functionally Graded Beams

By H. Zhu, B. Sankar. 2004

96 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/0a54ba12c97efee7f3b7c0b4c86e5b24b75db914

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In Civil and Structural Engineering

In Mechanics of Materials

Citations in the corpus

Analysis of FGM Beams by Means of Classical and Advanced Theories (2010, methodology): “Zhu and Sankar [ 34 ] adopted a combined Fourier series-Galerkin method for the analysis of simply supported FGM-based beams for which the Young's modulus was a third-order polynomial function of the through-the-thickness coordinate.”
Static analyses of FGM beams by various theories and finite elements (2015, methodology): “[12] developed four different analytical modeling including two equivalent single-layer approaches, a higher-order theory [13] and the Fourier-Galerkin method [14].”
Elasticity solutions for plane anisotropic functionally graded beams (2007, methodology): “Exact and analytical elasticity solutions for homogeneous isotropic beams can be obtained via Airy stress function, as shown in Timoshenko and Goodier (1970).”
A MIXED RITZ-DQ METHOD FOR FORCED VIBRATION OF FUNCTIONALLY GRADED BEAMS CARRYING MOVING LOADS (2010, methodology): “Zhu and Sankar [7] solved the two-dimensional elasticity equations for the FG beam subjected to transverse loads using a mixed Fourier series-Galerkin method.”
Static and vibration analysis of functionally graded beams using refined shear deformation theory (2013, methodology): “Based on the classical beam theory (CBT), Sankar and Zhu [4, 5] gave an elasticity solution for FG beams under static transverse loads.”
Nonlinear forced vibration analysis of clamped functionally graded beams (2011, methodology): “Zhu and Sankar [ 7 ] solved the two-dimensional elasticity equations for the FG beam subjected to transverse loads using a mixed Fourier series – Galerkin method.”
Low-velocity impact response of sandwich beams with functionally graded core (2006, methodology): “Zhu and Sankar (2004) derived an analytical model for a FG beam with Young s modulus expressed as a polynomial in thickness coordinate using a combined Fourier series–Galerkin method.”
Development of dynamic stiffness method for free vibration of functionally graded Timoshenko beams (2015, methodology): “Application of other approaches such as the Fouries series and Galerkin methods can be found in the work of Zhu and Sanker [22].”