Buckling and forced oscillation of organic nanoplates taking the structural drag coefficient into account

Dao Minh Tien , Do Van Thom , Nguyen Thi Hai Van , Abdelouahed Tounsi , Phung Van Minh , Dao Nhu Mai

Abstract

This work is the first to apply nonlocal theory and a variety of deformation plate theories to study the issue of forced vibration and buckling in organic nanoplates, where the effect of the drag parameter inside the structure has been taken into consideration. Whereas previous research on nanostructures has treated the nonlocal parameter as a fixed value, this study accounts for its effect, and finds that its value fluctuates with the thickness of each layer. This is also a new point that no works have mentioned for organic plates. On the foundation of the notion of potential movement, the equilibrium equation is derived, the buckling issue is handled using Navier's solution, and the forced oscillation problem is solved using the finite element approach. Additionally, a set of numerical examples exhibiting the forced vibration and buckling response of organic nanoplates are shown. These findings indicate that the nonlocal parameter and the drag parameter of the structure have a substantial effect on the mechanical responses of organic nanoplates.

Key Words

buckling; FEM; forced vibration; nanoplates; Navier solution; Newmark; nonlocal theory

Address

Dao Minh Tien — 1) Air Force-Air Defence Technical Institute, Hanoi City, Vietnam, 2) Graduate University of Science and Technology, VietNam Academy of Science and Technology, 18 Hoang Quoc Viet, Cau Giay, Hanoi City, Vietnam
Do Van Thom and Phung Van Minh — Faculty of Mechanical Engineering, Le Quy Don Technical University, Hanoi City, Vietnam
Nguyen Thi Hai Van — Faculty of Industrial Education, The University of Danang—University of Technology and Education, 48 Cao Thang, Danang, Vietnam
Abdelouahed Tounsi — 1) Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia, 2) Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria, 3) YFL (Yonsei Frontier Lab), Yonsei University, Seoul, Korea
Dao Nhu Mai — Institute of Mechanics, Vietnam Academy of Science and Technology, Hanoi, Vietnam

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