2024 : 4 : 19
Korosh Khorshidi

Korosh Khorshidi

Academic rank: Associate Professor
ORCID: https://orcid.org/0000-0002-7321-972X
Education: PhD.
ScopusId: 23970920600
Faculty: Engineering
Address: Arak University
Phone: 086-32625720


Free Vibrations Analysis of Functionally Graded Rectangular Nano-plates based on Nonlocal Exponential Shear Deformation Theory
Vibration, Functionally graded nanoplates, Nonlocal elasticity, Exponential shear deformation, theory
Journal Mechanics of Advanced Composite Structures
Researchers Tahmores Asgari ، Korosh Khorshidi ، Abolfazl Fahhah


In the present study the free vibration analysis of the functionally graded rectangular nanoplates is investigated. The nonlocal elasticity theory based on the exponential shear deformation theory has been used to obtain the natural frequencies of the nanoplate. In exponential shear deformation theory an exponential functions are used in terms of thickness coordinate to include the effect of transverse shear deformation and rotary inertia. The nonlocal elasticity theory is employed to investigate the effect of the small scale on the natural frequency of the functionally graded rectangular nanoplate. The govering equations and the corresponding boundary conditions are derived by implementing Hamilton’s principle. To show the accuracy of the formulations, the present results in specific cases are compared with available results in the literature and a good agreement is seen. Finally, the effect of the various parameters such as the nonlocal parameter, the power law indexes, the aspect ratio n , and the thickness to lenghth ratio d on the natural frequencies of the rectangular FG nanoplates is presented and discussed in detail.