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Free and forced vibration nonlinear analysis of a microbeam using finite strain and velocity gradients theory
Texas A&M University at Qatar.
Aalto University, Finland.ORCID iD: 0000-0001-8515-9907
University of Carthage, Tunisia.
2016 (English)In: Acta Mechanica, ISSN 0001-5970, E-ISSN 1619-6937, Vol. 227, no 9, 2657-2670 p.Article in journal (Refereed) Published
Abstract [en]

A nonlinear finite strain and velocity gradient framework is formulated for the Euler-€Bernoulli beam theory. This formulation includes finite strain and the strain gradient within the strain energy generalization as well as velocity and its gradient within the kinetic energy generalization. Consequently, static and kinetic internal length scales are developed to capture size effects. The governing equation with initial and boundary conditions is obtained using the variational approach. Free and forced vibration of a simply supported nanobeam is studied for different values of static and kinetic length scales using the method of multiple scales.

Place, publisher, year, edition, pages
Springer, 2016. Vol. 227, no 9, 2657-2670 p.
National Category
Applied Mechanics
Research subject
Mechanical Engineering
Identifiers
URN: urn:nbn:se:kau:diva-65028DOI: 10.1007/s00707-016-1646-xISI: 000382026000016OAI: oai:DiVA.org:kau-65028DiVA: diva2:1154122
Available from: 2017-11-01 Created: 2017-11-01 Last updated: 2017-11-01Bibliographically approved

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Publisher's full texthttps://doi.org/10.1007/s00707-016-1646-x

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