Effect of magnetic field on vibration of quasi-3D rectangular plate rested on Kerr foundation

کد مقاله : 1244-ISME2024

نویسندگان

علیرضا شمشیری، سعید امیر * ندارم

چکیده مقاله

This study represented a free vibration of a functionally graded (FG) rectangular plate that dependent on temperature field and obeys a quasi-3D thickness stretching displacement field based on new trigonometric shear function. FG rectangular plate is affected by the longitudinal magnetic field, and it is resting on the Kerr foundation. The governing differential equations have been derived by using Hamilton’s principle. Also, the boundary conditions are assumed to be simply supported so Navier’s approach has been used to solve the governing equations to achieve the nondimensional natural frequency of the system. The material properties of functionally graded material (FGM) have been varied based on power-law distribution. Furthermore, the mechanical properties of FGM such as young modulus, poisson's coefficient, and density presume to be changed due to the exchange of temperature. Due to Maxwell relations, the one-dimensional Lorentz magnetic field has been achieved. The results show that changing the parameters like power-law index, thickness ratio, temperature, Lorentz force, and Kerr foundation coefficients would change the dimensionless natural frequency. So, it helps to design a more accurate temperature dependent system under the magnetic force for military, aerospace, and civil engineering.

کلیدواژه ها

free vibration, temperature dependent, Lorentz force, Kerr foundation, new trigonometric shear function

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