Please use this identifier to cite or link to this item: https://doi.org/10.1063/1.4820565
DC FieldValue
dc.titleDevelopment of analytical vibration solutions for microstructured beam model to calibrate length scale coefficient in nonlocal Timoshenko beams
dc.contributor.authorDuan, W.H.
dc.contributor.authorChallamel, N.
dc.contributor.authorWang, C.M.
dc.contributor.authorDing, Z.
dc.date.accessioned2014-06-17T05:29:32Z
dc.date.available2014-06-17T05:29:32Z
dc.date.issued2013-09-14
dc.identifier.citationDuan, W.H., Challamel, N., Wang, C.M., Ding, Z. (2013-09-14). Development of analytical vibration solutions for microstructured beam model to calibrate length scale coefficient in nonlocal Timoshenko beams. Journal of Applied Physics 114 (10) : -. ScholarBank@NUS Repository. https://doi.org/10.1063/1.4820565
dc.identifier.issn00218979
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/59009
dc.description.abstractThe present study takes an analytical approach for solving the free vibration problem of a microstructured beam model, in which transverse displacement springs are added to allow for the transverse shear deformation effect in addition to the rotational springs. The exact vibration frequencies for the discrete microstructured beam model with simply supported ends are obtained via matrix decomposition. In addition, a general solution technique involving the use of Padé approximants for the continualization procedure is proposed in order to obtain the continuous equivalent system for the discrete microstructured beam model. The analytical vibration solutions of the equivalent continuous system are obtained and their accuracy is assessed by using the exact solutions. It is found that the solutions of the equivalent continuous system have a first order accuracy when compared with the exact solutions of their discrete counterpart. The length scale coefficient in the nonlocal Timoshenko beam model is calibrated by using the analytical solutions. Two nonlocal Timoshenko beam models, i.e., the Wang model (without the length scale effect in the shear stress strain relation) and the Reddy model, are evaluated based on their ability to capture the nonlocal effect. © 2013 AIP Publishing LLC.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1063/1.4820565
dc.sourceScopus
dc.typeArticle
dc.contributor.departmentCIVIL & ENVIRONMENTAL ENGINEERING
dc.description.doi10.1063/1.4820565
dc.description.sourcetitleJournal of Applied Physics
dc.description.volume114
dc.description.issue10
dc.description.page-
dc.description.codenJAPIA
dc.identifier.isiut000324495600056
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