Effect of surface on nano-beam mechanical behaviors: a parametric analysis
In this paper, effect of surface, including its elasticity, residual stress and density is investigated on the nano-beam stiffness and mass analytically. To this aim, the governing equation of the nano-beam dynamic behavior is extracted utilizing Gurtin–Murdoch’s theory and Euler–Bernoulli hypothesi...
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Veröffentlicht in: | Microsystem technologies : sensors, actuators, systems integration actuators, systems integration, 2021-03, Vol.27 (3), p.665-672 |
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Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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Zusammenfassung: | In this paper, effect of surface, including its elasticity, residual stress and density is investigated on the nano-beam stiffness and mass analytically. To this aim, the governing equation of the nano-beam dynamic behavior is extracted utilizing Gurtin–Murdoch’s theory and Euler–Bernoulli hypothesis which incorporates the surface effects. Effect of surface parameters on nano-beam lumped mass and stiffness is investigated parametrically and necessary conditions for hardening and softening behavior are presented based on the surface stress and elasticity for both clamped–clamped and clamped-free nano-beams. The performed analysis revealed that surface may have different effects on similar nano-beams with only different boundary conditions. The obtained results in this paper can be utilized in analysis and design of nano-systems. |
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ISSN: | 0946-7076 1432-1858 |
DOI: | 10.1007/s00542-020-04982-8 |