Flutter and Divergence Instability of Axially-Moving Nanoplates Resting on a Viscoelastic Foundation
Source abstract
Abstract
Moving nanosystems often rest on a medium exhibiting viscoelastic behavior in engineering applications. The moving velocity and viscoelastic parameters of the medium usually have an interacting impact on the mechanical properties of nanostructures. This paper investigates the dynamic stability of an axially-moving nanoplate resting on a viscoelastic foundation based on the nonlocal elasticity theory. Firstly, the governing partial equations subject to appropriate boundary conditions are derived through utilizing the Hamilton’s principle with the axial velocity, viscoelastic foundation, nonlocal effect and biaxial loadings taken into consideration. Subsequently, the characteristic equation describing the dynamic characteristics is obtained by employing the Galerkin strip distributed transfer function method. Then, complex frequency curves for the nanoplate are displayed graphically and the effects of viscoelastic foundation parameters, small-scale parameters and axial forces on divergence instability and coupled-mode flutter are analyzed, which show that these parameters play a crucial role in affecting nanostructural instability. The presented results benefit the designation of axially-moving graphene nanosheets or other plate-like nanostructures resting on a viscoelastic foundation.
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Research context
OpenAlex topics: Nonlocal and gradient elasticity in micro/nano structures · Numerical methods in engineering · Composite Structure Analysis and Optimization
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Department of Engineering Mechanics, Shijiazhuang Tiedao University, Shijiazhuang 050043, China
College of Aerospace Science and Engineering, National University of Defense Technology, Changsha 410073, China
School of Engineering, University of Warwick, Coventry CV4 7AL, UK
Funding
National Natural Science Foundation of China · Natural Science Foundation of Hebei Province
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