Variable kinematic models applied to free-vibration analysis of functionally graded material shells

By M. Cinefra, S. Belouettar, Marco Soave, Erasmo Carrera. 2010

64 citations recorded by the source corpus.

Closed-form solutions of free-vibration problems of simply supported multilayered shells made of Functionally Graded Material have been examined in the present paper. A variable kinematic shell model, which is based on Carrera’ sU ni fied Formulation is extended, in this work, to dynamic shell cases. Classical shell theories are compared to refined ones as well as to layer-wise kinematics and mixed assumptions based on the Reissner mixed variational theorem. A comparison with the few results available in the open literature is presented and conclusions are drawn regarding the accuracy of classical and advanced shell modeling to evaluate lower and higher vibration modes as well as the behavior of these modes in the shell thickness direction.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/d9383d1cf5b1918380ff593b850fcd87a286d159

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In Civil and Structural Engineering

In Mechanics of Materials

Citations in the corpus

Analysis of laminated shells by a sinusoidal shear deformation theory and radial basis functions collocation, accounting for through-the-thickness deformations (2011, unknown): “In this paper, the Unified Formulation (UF) by Carrera [3–8] is proposed to derive the equations of motion and boundary conditions.”
Refined shell elements for the analysis of functionally graded structures (2012, methodology): “The CUF analytical solutions of the thermo-mechanical and dynamic analysis of FGM plates and shells have been presented in [20–24].”
Free vibration analysis of functionally graded shells by a higher-order shear deformation theory and radial basis functions collocation, accounting for through-the-thickness deformations (2013, unknown): “In this paper it is investigated for the first time how the Unified Formulation by Carrera [41–45,9] can be combined with radial basis functions collocation to the free vibration analysis of thin and thick FG shells, using a higherorder shear deformation theory (HSDT), allowing for through-the-thick”
Stress, vibration and buckling analyses of FGM plates—A state-of-the-art review (2015, unknown): “[220] extended the RMVT”
Static analysis of functionally graded conical shells and panels using the generalized unconstrained third order theory coupled with the stress recovery (2014, methodology): “[28] proposed a variable kinematic shell model, based on Carrera’s unified formulation, to solve dynamic and static shell problems.”