Abstract
Abstract The sandwich structures are three- or multilayered structures such that their mechanical properties are better than each single layer. In the current research, a three-layered cylindrical shell including a functionally graded porous core and two reinforced nanocomposite face sheets resting on the Pasternak foundation is used as model to provide a comprehensive understanding of vibrational behavior of such structures. The core is made of limestone, while the epoxy is utilized as the top and bottom layers’ matrix phase and also it is reinforced by the graphene nanoplatelets (GNPs). The pattern of the GNPs dispersion and the pores distribution play a crucial role at the continuous change of the layers’ properties. The sinusoidal shear deformation shells theory and the Hamilton’s principle are employed to derive the equations of motion for the mentioned cylindrical sandwich shell. Ultimately, the impacts of the model’s geometry, foundation moduli, mode number, and deviatory radius on the vibrational behavior are investigated and discussed. It is revealed that the natural frequency and rotation angle of the sandwich shell are directly related. Moreover, mid-radius to thickness ratio enhancement results in the natural frequency reduction. The results of this study can be helpful for the future investigations in such a broad context. Furthermore, for the pipe factories current study can be effective at their designing procedure.
Highlights
Structural analyses attracted higher levels of scholars’ attention nowadays
The theoretical results showed that for a coating system, there is an optimum thickness of the coating layer that causes the coating structure obtain the best balance between the strength and the damping capacity. Amir and his coresearchers [8,9] presented their findings of vibrational behavior of three-layered circular and annular plates, in which a rheological fluid core was put between two magnetostrictive face sheets
Khoa et al [28] employed a cylindrical panel model which was reinforced by singlewalled carbon nanotubes (SWCNTs) to study the vibrations of the functionally graded carbon nanotube-reinforced composite (FG-CNTRC) cylindrical shells
Summary
Structural analyses attracted higher levels of scholars’ attention nowadays. Among them, sandwich structures are well-known due to their high level of functionality. They derived the governing equations with the aid of the energy method and Hamilton’s principle and captured the size effect via the couple stress theory As another instance, Khoa et al [28] employed a cylindrical panel model which was reinforced by singlewalled carbon nanotubes (SWCNTs) to study the vibrations of the functionally graded carbon nanotube-reinforced composite (FG-CNTRC) cylindrical shells. Khoa et al [28] employed a cylindrical panel model which was reinforced by singlewalled carbon nanotubes (SWCNTs) to study the vibrations of the functionally graded carbon nanotube-reinforced composite (FG-CNTRC) cylindrical shells They applied the thermal environment on the entire structures and used higher-order shear deformation theory (HSDT). A sandwich cylindrical structure including FG porous core integrated by the GNPsreinforced composites (GNP-RC) layers is considered as model to provide a comprehensive insight on its vibrational behavior. The results could help in obtaining a deeper understanding of these structures which can be helpful in different industries, such as, automobiles, micro electro mechanical system (MEMS) processes, and aerospace
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