Effect of flexomagneticity on the dynamic response of nanoplates using FEM

Le Truong Son, Nguyen Chi Tho, Van Minh Chinh, Do Van Thom, Abdelouahed Tounsi and Phung Van Minh

Abstract

This work examines the dynamic response of nanoplates by including the flexomagnetic effect based on the novel shear deformation theory. The plate's equilibrium equation is shown by using the concept of virtual work to solve the equation. The novelty of this work is to show the influence of the flexomagnetic effect on the displacement, velocity, and acceleration responses of nanoplates when subjected to time-varying loads. This study employs the finite element approach, using four nodal elements, each having six degrees of freedom. The finite element model in this study has been validated for dependability by comparison with previously reported findings. This research uses numerical calculations to demonstrate how geometric dimensions, material properties, and frequency of external pressures affect the dynamic response of nanostructures. This study is valuable for designers seeking to optimize the creation of nanoplates for practical use.

Key Words

finite element method; flexomagnetic; forced vibration; nanoplates; novel shear deformation theory

Address

Le Truong Son, Do Van Thom and Phung Van Minh: Faculty of Mechanical Engineering, Le Quy Don Technical University, 236 Hoang Quoc Viet Street, Hanoi, 100000, Vietnam Nguyen Chi Tho: Institute of Techniques for Special Engineering, Le Quy Don Technical University, 236 Hoang Quoc Viet Street, Hanoi, 100000, Vietnam Van Minh Chinh: 1) Graduate University of Science and Technology, Vietnam Academy of Science and Technology, 18 Hoang Quoc Viet, Cau Giay, Hanoi, 100000, Vietnam, 2) Air Force-Air Defence Technical Institute, Hanoi, 100000, Vietnam Abdelouahed Tounsi: 1) Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia, 2) Department of Civil and Environmental Engineering, Lebanese American University, 309 Bassil Building, Byblos, Lebanon

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