Analytical model of sound transmission through relatively thick FGM cylindrical shells considering third order shear deformation theory

Three-Dimensional Elasticity Solutions for Sound Radiation of Functionally Graded Materials Plates considering State Space Method

“…FGM plate composed of zirconia (ZrO 2 ) at the top surface and aluminum (Al) at the bottom surface with power-law distribution of properties through the thickness with respect to volume fraction is considered. The material properties of the constituent are [22,23,28], for zirconia, = 200 GPa, = 5700 kg/m 3 , and = 0.3, while, for aluminum, they are = 70 GPa, = 2700 kg/m 3 , and = 0.3. The plate is assumed to be simply supported on all edges and placed in an infinite baffle.…”

“…In order to overcome this shortcoming of FSDT, third-order shear deformation theory (TSDT) or higher order shear deformation theory such as Reddy [26,27] was developed, and no shear correction factors are required and better precision can be achieved. Daneshjou et al [28] studied sound transmission through relatively thick FGM cylindrical shells based on third-order shear deformation shell theory, and their work denotes that there are some discrepancies between FSDT and TSDT at high frequencies for relatively thick FGM cylindrical shells. However, studies of sound radiation from plate structures based on 3D elasticity may be the sole ultimate choice, which is, however, relatively scarce.…”

Nonlinear dynamic analysis and vibration of shear deformable piezoelectric FGM double curved shallow shells under damping-thermo-electro-mechanical loads

“…Daneshjou et al. [11] presented an analytical solution for acoustic transmission through relatively thick FGM cylindrical shells using third order shear deformation theory. Mohazzab et al [12] presented a versatile and efficient modeling and solution framework for free vibration analysis of composite laminated cylindrical and spherical panels modeled according to twodimensional equivalent singlelayer and layerwise theories of variable order.…”

Forced Vibration Analysis for a FGPM Cylindrical Shell

“…Based on theory of vibrations of cylindrical shells, Sofiyev [17] presented an analytical study on the dynamic behavior of the infinitely-long FGM cylindrical shell under moving loads. By using third order shear deformation theory, Daneshjou et al [18] gave an analytical solution for acoustic transmission through relatively thick FGM cylindrical shells. Based on Sanders' thin shell theory, the vibrational behavior of functionally graded cylindrical shells with intermediate ring supports was studied by Rahimi et al [19].…”