On the vibrations of sandwich structure with magneto-electro-rheological core and composite face sheet via mesh-free method

Abstract

Multidirectional functionally graded materials due to high-mechanical resistance with other extraordinary properties in each direction have received much attention in recent years. Thus, in the current research, a numerical solution is presented to study the fundamental frequency characteristics of an MD-FG sector annular plate in a supersonic airflow. For obtaining exact displacement fields, the refined zig-zag theory is employed to obtain the transverse shear strain through layers of the composite lamina. A quasi-3D new refined theory is presented to model the displacement fields of the current sandwich structure. The Legendre-radial point interpolation method shape function is used to estimate the displacements while the mesh-free strong form approach discretizes the equations of motion and boundary conditions. Finally, the results show that Mach number, free stream speed, air yaw angle, temperature, and aerodynamic pressure have important roles in the dynamic stability performance of the sandwich sector annular plate in supersonic airflow. The results of the current report can be used in various high-temperature multidirectional compositionally graded materials for future works.

Keywords:

• Meshfree strong form method
• sector annular plates
• quasi-3D new refined theory
• multidirectional functionally graded materials
• stability/instability

Disclosure statement

No potential conflict of interest was reported by the author(s).