Dynamic response of nanobeams subjected to moving nanoparticles and hygro-thermal environments based on nonlocal strain gradient theory

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.