Vibration analysis of FG cylindrical shells with power-law index using discrete singular convolution technique

Abstract

Abstract:In the present manuscript, free vibration response of circular cylindrical shells with functionally graded material (FGM) is investigated. The method of discrete singular convolution (DSC) is used for numerical solution of the related governing equation of motion of FGM cylindrical shell. The constitutive relations are based on the Love's rst approximation shell theory. The material properties are graded in the thickness direction according to a volume fraction power law indexes. Frequency values are calculated for di erent types of boundary conditions, material and geometric parameters. In general, close agreement between the obtained results and those of other researchers has been found.

Analytical Bending and Stress Analysis of Variable Thickness FGM Auxetic Conical/Cylindrical Shells with General Tractions

“…In contrast to the extensive researches accomplished on displacement analysis, vibration (Nie and Zhong, 2007;Tornabene, 2009;Setoodeh et al, 2011;Shariyat and Alipour, 2011;Shariyat, 2012;Tahani et al, 2013;Duc, 2013;Mercan et al, 2016) or buckling (Sofiyev, 2007;Shariyat, 2008;Shariyat, 2011, 2013;Shariyat and Asgari, 2013;Sun et al, 2014) of the FGM circular/annular plates and cylindrical/conical shells, limited works have been published on the stress analysis of the mentioned structures. A semi-inverse series elasticity solution was presented by Pelletier and Vel (2006) for thermoelastic analysis of a transversely graded orthotropic cylindrical shell.…”

Geometric Mapping for Non-Rectangular Plates with Micro/Nano or Macro Scaled under Different Effects

“…Foundation effects, magnetic effects, piezo effect. Also, micro/nano scaled plates, beam and shell problems can also be solved [21][22][23][24][25][26][27][28][29][30][31] via these methods.…”

On buckling and free vibration studies of sandwich plates and cylindrical shells: A review

“…280 The free vibration analysis of composite sandwich cylindrical shell with a flexible core submerged in water by using a higher order sandwich panel theory and considering the fluid pressure was studied, 281 and the free vibration response of circular cylindrical shells with FGM is investigated. 282 The free vibration of three-layered sandwich cylinders with VEL core is considered. 283 The vibration and damping characteristics analysis of the orthotropic cylindrical shells with an ER layer and a constraining layer are studied.…”