Free vibration analysis of nanoscale spinning shafts based on Eringen's differential constitutive elastic model by using generalized differential quadrature method

dc.contributor.authorBelhadj, Abdelkadir
dc.contributor.authorBoukhalfa, Abdelkrim
dc.contributor.authorBelalia, Sid Ahmed
dc.date.accessioned2026-01-15T08:24:36Z
dc.date.available2026-01-15T08:24:36Z
dc.date.issued2025
dc.description.abstract-translatedThe free vibration behavior of spinning nanoshafts is critically examined through the framework of nonlocal elasticity. Combining the Euler-Bernoulli beam model with the Eringen's nonlocal theory, this work formulates a scale-dependent mathematical model. Hamilton's principle is employed to derive the nonlocal governing equations and associated boundary conditions. The generalized differential quadrature method (GDQM) is utilized to discretize and solve the resulting eigenvalue problem. Numerical results systematically quantify how the small-scale parameter, angular velocity, and various boundary conditions affect the system's fundamental and second mode forward and backward frequencies. Additionally, the impact of geometrical properties, such as the aspect ratio and thickness-to-diameter ratio, on the instability thresholds is investigated. The findings of this study offer valuable guidelines for enhancing the performance and stability of advanced rotating nano-electromechanical systems (NEMS).en
dc.description.sponsorshipPRFU: A11N01UN130120180001en
dc.format20 s.cs
dc.format.mimetypeapplication/pdf
dc.identifier.doihttps://doi.org/10.24132/acm.2025.999
dc.identifier.issn1802-680X (Print)
dc.identifier.issn2336-1182 (Online)
dc.identifier.urihttp://hdl.handle.net/11025/64460
dc.language.isoenen
dc.publisherUniversity of West Bohemiaen
dc.rights© University of West Bohemiaen
dc.rights.accessopenAccessen
dc.subjectvibracecs
dc.subjectrotující hřídelecs
dc.subjectnanoměřítkocs
dc.subjectnelokální elasticitacs
dc.subjectGDQMcs
dc.subject.translatedvibrationen
dc.subject.translatedspinning shaftsen
dc.subject.translatednanoscaleen
dc.subject.translatednonlocal elasticityen
dc.subject.translatedGDQMen
dc.titleFree vibration analysis of nanoscale spinning shafts based on Eringen's differential constitutive elastic model by using generalized differential quadrature methoden
dc.typečlánekcs
dc.typearticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
local.files.count1*
local.files.size874629*
local.has.filesyes*

Files

Original bundle
Showing 1 - 1 out of 1 results
No Thumbnail Available
Name:
ACM-ID999-Article.pdf
Size:
854.13 KB
Format:
Adobe Portable Document Format
License bundle
Showing 1 - 1 out of 1 results
No Thumbnail Available
Name:
license.txt
Size:
1.71 KB
Format:
Item-specific license agreed upon to submission
Description: