article · Mechanics of Advanced Materials and Structures
This study examines the size-dependent forced vibration behaviour of functionally graded nanobeams exposed to combined environmental and dynamic mechanical stresses. The nanobeams are subjected to in-plane hygro-thermal loads alongside lateral dynamic forces, either concentrated or uniform, while resting on a three-parameter Kerr foundation composed of upper and lower springs and a shear layer. Using a higher-order refined beam theory, the framework accounts for shear deformation without needing shear correction factors. Material properties are modelled using a power-law distribution that accounts for the exact position of the neutral axis. Governing equations are formulated using Eringen nonlocal elasticity theory and Hamilton principle, then solved for simply-supported and clamped-clamped boundaries. The analysis shows that environmental moisture, temperature increases, material gradation, nonlocal effects, and foundation stiffness substantially alter vibration responses, with foundation parameters notably delaying the occurrence of resonance frequencies.
Nanoscale components often operate under demanding conditions where temperature, moisture, and dynamic forces interact. Understanding how functionally graded materials vibrate when supported by complex elastic foundations helps researchers predict structural stability and avoid premature mechanical failure. By pinpointing the factors that delay resonance, this theoretical work enhances foundational models used to anticipate nanoscale structural responses in harsh environments.
The abstract does not indicate an application pathway or commercial readiness level, as it presents theoretical and parametric mechanical modelling.
AI-generated from the published abstract. Always read the original work before citing.
Size-dependent forced vibration behavior of functionally graded (FG) nanobeams subjected to an in-plane hygro-thermal loading and lateral concentrated and uniform dynamic loads is investigated via a higher-order refined beam theory, which captures shear deformation influences needless of any shear correction factor. The nanobeam is in contact with a three-parameter Kerr foundation consisting of upper and lower spring layers as well as a shear layer. Hygro-thermo-elastic material properties of the nanobeam are described via power-law distribution considering exact position of the neutral axis. Through nonlocal elasticity theory of Eringen and Hamilton's principle, the governing equations of higher-order FG nanobeams on Kerr foundation under dynamic loading are derived. These equations are solved for simply-supported and clamped-clamped boundary conditions. A detailed parametric study is performed to show the importance of moisture concentration rise, temperature rise, material composition, nonlocality, Kerr foundation parameters, and boundary conditions on forced vibration characteristics and resonance frequencies of FG nanobeams. As a consequence, Kerr foundation parameters lead to a significant delay in the occurrence of resonance frequencies.
This page summarises published work. The authoritative version sits with the publisher.
DOI: 10.1080/15376494.2017.1308603
Is something wrong with this record? Report it or request removal.
Discussion
Have you built on this work, tried to replicate it, or seen it applied in practice? Share what you know. Verified researchers and MARATTO™ domain experts can open a discussion, and any member can reply. Contributions are reviewed before they appear.
No discussion yet. Open the first thread.
New to MARATTO™? Create a free account.
