Small scale and spin effects on free transverse vibration of size-dependent nano-scale beams

Ilkhani, M. R.; Nazemnezhad, R.; Hosseini-Hashemi, Sh

Abstract

© 2019, The Brazilian Society of Mechanical Sciences and Engineering. This study aims to investigate the transverse vibration of size-dependent nano-beam which spins about its longitudinal axis. To this end, nano-beams are modeled based on the Euler–Bernoulli and Timoshenko theories. To consider the size dependency of the nano-beams, the nonlocal elasticity theory is used. By using an exact analytical solution, the governing equations of motions are solved. Comprehensive results are presented to show the effects of various boundary conditions, nonlocal scale parameter, rotational speed, and geometrical parameters on natural frequencies and critical speeds of spinning nano-beam. As spinning nano-beams are the main part of any rotary nano-machines, conclusions of present analysis promote researcher’s information about the vibrational behavior of spinning nano-beams.

Citation

Ilkhani, M. R., Nazemnezhad, R., & Hosseini-Hashemi, S. (2019). Small scale and spin effects on free transverse vibration of size-dependent nano-scale beams. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 41(11), Article 511. https://doi.org/10.1007/s40430-019-1997-z

• Journal Article Type: Article
• Acceptance Date: Oct 8, 2019
• Online Publication Date: Feb 25, 2019
• Publication Date: Nov 1, 2019
• Deposit Date: Feb 27, 2025
• Journal: Journal of the Brazilian Society of Mechanical Sciences and Engineering
• Print ISSN: 1678-5878
• Electronic ISSN: 1806-3691
• Publisher: Springer Verlag
• Peer Reviewed: Peer Reviewed
• Volume: 41
• Issue: 11
• Article Number: 511
• DOI: https://doi.org/10.1007/s40430-019-1997-z
• Public URL: https://nottingham-repository.worktribe.com/output/3226914
• Publisher URL: https://link.springer.com/article/10.1007/s40430-019-1997-z