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dc.contributor.authorNavadeh, Navid-
dc.contributor.authorSareh, Pooya-
dc.contributor.authorBasovsky, Vladimir G.-
dc.contributor.authorGorban, Irina M.-
dc.contributor.authorSoleiman Fallah, Arash-
dc.date.accessioned2021-07-29T09:40:20Z-
dc.date.available2021-07-29T09:40:20Z-
dc.date.issued2021-07-17-
dc.identifier.issn1555-1415de_CH
dc.identifier.issn1555-1423de_CH
dc.identifier.urihttp://hdl.handle.net/10044/1/90501de_CH
dc.identifier.urihttps://digitalcollection.zhaw.ch/handle/11475/22914-
dc.description.abstractDeep cantilever beams, modelled using Timoshenko beam kinematics, have numerous applications in engineering. This study deals with the nonlinear dynamic response in a non-prismatic Timoshenko beam characterized by considering the deformed configuration of the axis. The mathematical model is derived using the extended Hamilton's principle under the condition of finite deflections and angles of rotation. The discrete model of the beam motion is constructed based on the finite difference method (FDM), whose validity is examined by comparing the results for a special case with the corresponding data obtained by commercial finite element (FE) software ABAQUS 2019. The natural frequencies and vibration modes of the beam are computed. These results demonstrate decreasing eigenfrequency in the beam with increasing amplitudes of nonlinear oscillations. The numerical analyses of forced vibrations of the beam show that its points oscillate in different manners depending on their relative position along the beam. Points close to the free end of the beam are subject to almost harmonic oscillations, and the free end vibrates with a frequency equal to that of the external force. When a point approaches the clamped end of the beam, it oscillates in two-frequency mode and lags in phase from the oscillations of the free end. The analytical model allows for the study of the influence of each parameter on the eigenfrequency and the dynamic response. In all cases, a strong correlation exists between the results obtained by the analytical model and ABAQUS, nonetheless, the analytical model is computationally less expensive.de_CH
dc.language.isoende_CH
dc.publisherThe American Society of Mechanical Engineersde_CH
dc.relation.ispartofJournal of Computational and Nonlinear Dynamicsde_CH
dc.rightsLicence according to publishing contractde_CH
dc.subject.ddc530: Physikde_CH
dc.subject.ddc624: Ingenieurbaude_CH
dc.titleNonlinear vibrations in homogeneous non-prismatic Timoshenko cantileversde_CH
dc.typeBeitrag in wissenschaftlicher Zeitschriftde_CH
dcterms.typeTextde_CH
zhaw.departementSchool of Engineeringde_CH
zhaw.organisationalunitInstitute of Computational Physics (ICP)de_CH
dc.identifier.doi10.1115/1.4051820de_CH
zhaw.funding.euNode_CH
zhaw.issue10de_CH
zhaw.originated.zhawYesde_CH
zhaw.publication.statuspublishedVersionde_CH
zhaw.volume16de_CH
zhaw.publication.reviewNot specifiedde_CH
zhaw.author.additionalNode_CH
zhaw.display.portraitYesde_CH
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Navadeh, N., Sareh, P., Basovsky, V. G., Gorban, I. M., & Soleiman Fallah, A. (2021). Nonlinear vibrations in homogeneous non-prismatic Timoshenko cantilevers. Journal of Computational and Nonlinear Dynamics, 16(10). https://doi.org/10.1115/1.4051820
Navadeh, N. et al. (2021) ‘Nonlinear vibrations in homogeneous non-prismatic Timoshenko cantilevers’, Journal of Computational and Nonlinear Dynamics, 16(10). Available at: https://doi.org/10.1115/1.4051820.
N. Navadeh, P. Sareh, V. G. Basovsky, I. M. Gorban, and A. Soleiman Fallah, “Nonlinear vibrations in homogeneous non-prismatic Timoshenko cantilevers,” Journal of Computational and Nonlinear Dynamics, vol. 16, no. 10, Jul. 2021, doi: 10.1115/1.4051820.
NAVADEH, Navid, Pooya SAREH, Vladimir G. BASOVSKY, Irina M. GORBAN und Arash SOLEIMAN FALLAH, 2021. Nonlinear vibrations in homogeneous non-prismatic Timoshenko cantilevers. Journal of Computational and Nonlinear Dynamics [online]. 17 Juli 2021. Bd. 16, Nr. 10. DOI 10.1115/1.4051820. Verfügbar unter: http://hdl.handle.net/10044/1/90501
Navadeh, Navid, Pooya Sareh, Vladimir G. Basovsky, Irina M. Gorban, and Arash Soleiman Fallah. 2021. “Nonlinear Vibrations in Homogeneous Non-Prismatic Timoshenko Cantilevers.” Journal of Computational and Nonlinear Dynamics 16 (10). https://doi.org/10.1115/1.4051820.
Navadeh, Navid, et al. “Nonlinear Vibrations in Homogeneous Non-Prismatic Timoshenko Cantilevers.” Journal of Computational and Nonlinear Dynamics, vol. 16, no. 10, July 2021, https://doi.org/10.1115/1.4051820.


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