Transient dynamic and free vibration analysis of functionally graded truncated conical shells with non-uniform thickness subjected to mechanical shock loading

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

“…Aghdam et al (2011) conducted a bending analysis for FGM conical panels subjected to non-uniform distributed loadings, using the FSDT and solving the governing equations by the extended Kantorovich method. Setoodeh et al (2012) to internal/external pressure shocks. Abediokhchi et al (2013) presented a bending analysis for the FGM conical panels based on the FSDT and generalized differential quadrature (GDQ) solution method.…”

Transient analysis of rotating functionally graded truncated conical shells based on the Lord–Shulman model

“…They assumed that the material properties vary in the thickness direction according to a power law. It should be mentioned that there are some research works which are concerned with the dynamic and free vibration analyses of stationary and rotating FG truncated conical shells [23][24][25][26][27][28][29][30].…”

“…Material properties of the shell are assumed to be graded in the thickness direction. The solution procedure includes transformation of the governing equations from the physical domain to computational domain and then discretization of the spatial and temporal derivatives by employing the differential quadrature method as an efficient and accurate numerical tool [6,18,[25][26][27][28][29]31,32,33] in conjunction with the Newmark time integration scheme [34], respectively. After validating the method of solution and showing the fast rate of convergence and high accuracy of the technique, parametric studies are carried out to exhibit the influences of material properties, angular velocity, relaxation time, length-to-mean radius and thickness ratios, semivertex angle and boundary conditions of the truncated conical shells on the temperature distribution, displacement and stress components and their time histories at different points.…”

“…Hence, approximate numerical techniques should be employed to obtain numerical predictions. Therefore, the differential quadrature method (DQM) as a simple, efficient and accurate numerical technique[6,18,[25][26][27][28][29][31][32][33] in conjunction with the Newmark time integration scheme[34] are employed to discretize the system of equations in the spatial and temporal domain, respectively. It should be noted that prior to applying the DQ method, it is necessary to transform the skewed cross-section of the physical domain to a rectangular computational domain suitable for the DQ method.…”

A computational fluid–structure interaction model to predict the biomechanical properties of the artificial functionally graded aorta

“…Setoodeh et al [23] solved an axisymmetric cylindrical shell under time-varying stress with the differential quadrature method (DQM) and the results were compared with the FE outcomes. In the same year, they have also solved free vibration of axisymmetric cylindrical shell under time-varying thickness with DQM and the results were compared with the FE ones [24]. Khoshgoftar et al [25] solved the general equations of tick-wall FGM cylinder under different pressures using FSDT method and compared them with the obtained results of plane elasticity.…”