article · Mechanics of Advanced Materials and Structures
This research investigates the forced vibration behaviour of nanobeams supported by a viscoelastic substrate and subjected to moving loads. The analytical model relies on nonlocal strain gradient theory, which simultaneously accounts for nonlocal stress effects and microstructure-dependent strain gradient effects. In addition to mechanical loading, the framework considers the influence of varying hygro-thermal conditions, examining uniform, linear, and sinusoidal distributions of temperature and moisture. To determine the dynamic deflection of the nanobeams, the analysis uses a combination of Galerkin and inverse Laplace transform methods. The study evaluates how dynamic responses change under the combined influence of moving loads, viscoelastic foundations, temperature and moisture increases, and both nonlocal and strain gradient parameters.
Nanoscale components are increasingly considered for advanced technologies where they encounter both mechanical forces and environmental shifts. Understanding how heat, humidity, and moving nanoscale particles affect beam vibration helps engineers predict structural stability and mechanical behaviour under complex operating conditions.
The research represents early-stage theoretical modelling that could inform the design and analysis of nanoscale structural components operating in challenging thermal or humid settings. However, the abstract does not indicate a direct commercial application pathway or specific industry user group.
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Until now, nonlocal strain gradient theory (NSGT) was broadly applied to examine free vibration, static bending, and buckling of nanobeams. This theory captures nonlocal stress effects together with microstructure-dependent strain gradient effects. Here, forced vibrations of NSGT nanobeams on viscoelastic substrate subjected to moving loads are examined. The nanobeam is exposed to different hygro-thermal environments with uniform, linear, and sinusoidal variations. Dynamic deflection of the nanobeam is obtained via Galerkin and inverse Laplace transform methods. The importance of nonlocal parameter, strain gradient, moving load, temperature rise, moisture rise, and viscoelastic foundation on forced vibration behavior of nanobeams is discussed.
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DOI: 10.1080/15376494.2018.1444234
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