Effects of Porosity and Nonlocality on the Damped Vibration Behaviors of Functionally Graded Rectangular Nanoplates on General Viscoelastic Medium

Document Type : Research Paper

Authors
Le Truong Son 1
Pham Van Vinh 1 , 2
1 Department of Solid Mechanics, Le Quy Don Technical University, 236 Hoang Quoc Viet, Ha Noi, 10000, Viet Nam
2 Institute of Physics and Mechanics, Peter the Great St. Petersburg Polytechnic University, 29 Polytechnicheskaya, Saint Petersburg, 195251, Russia
10.22055/jacm.2025.48328.5152
Abstract
This article presents an analytical framework for size-dependent damped vibration analysis of functionally graded nanoplates considering the effects of porosity. Two schemes of even and uneven porosity distributions are examined. The general viscoelastic foundations consist of four parameters that include two stiffness parameters and two viscosity coefficients. The small-scale effects are included in the proposed calculation model using nonlocal elasticity theory. A parametric study is carried out to demonstrate the effects of some geometric and material properties and nonlocal parameters on the damped vibration of the nanoplates. The outcomes of this study show that the stiffness parameters increase the damped frequency, but the damping coefficients reduce the damped frequency of the nanoplates.
Keywords
Nanoplates
Porosity
Viscoelastic foundation
Damped vibration
Nonlocal elasticity theory
Subjects

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Journal of Applied and Computational Mechanics
Volume 12, Issue 1
Winter 2026
Pages 226-237