Journal
MECCANICA
Volume 56, Issue 6, Pages 1329-1344Publisher
SPRINGER
DOI: 10.1007/s11012-020-01181-7
Keywords
Stochastic dynamics; Small-scale beams; Size effects; Viscous damping; Stress-driven nonlocal integral elasticity; MEMS; NEMS
Categories
Funding
- MIUR [COAN 5.50.16.01, 2015JW9NJT, 2017J4EAYB]
- research program ReLUIS 2019
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This study investigates the stochastic flexural vibrations of small-scale Bernoulli-Euler beams with external damping using stress-driven nonlocal mechanics. Damping effects are simulated by considering viscous interactions between the beam and its surrounding environment. Loadings are modeled by accounting for their random nature, providing a comprehensive description of the beam's dynamic behavior.
Stochastic flexural vibrations of small-scale Bernoulli-Euler beams with external damping are investigated by stress-driven nonlocal mechanics. Damping effects are simulated considering viscous interactions between beam and surrounding environment. Loadings are modeled by accounting for their random nature. Such a dynamic problem is characterized by a stochastic partial differential equation in space and time governing time-evolution of the relevant displacement field. Differential eigenanalyses are performed to evaluate modal time coordinates and mode shapes, providing a complete stochastic description of response solutions. Closed-form expressions of power spectral density, correlation function, stationary and non-stationary variances of displacement fields are analytically detected. Size-dependent dynamic behaviour is assessed in terms of stiffness, variance and power spectral density of displacements. The outcomes can be useful for design and optimization of structural components of modern small-scale devices, such as micro- and nano-electro-mechanical-systems.
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