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dc.contributor.authorXu, Tiantian
dc.contributor.authorRuzziconi, Laura
dc.contributor.authorYounis, Mohammad I.
dc.date.accessioned2017-01-02T08:42:37Z
dc.date.available2017-01-02T08:42:37Z
dc.date.issued2016-11-17
dc.identifier.citationXu T, Ruzziconi L, Younis MI (2016) Global investigation of the nonlinear dynamics of carbon nanotubes. Acta Mechanica. Available: http://dx.doi.org/10.1007/s00707-016-1740-0.
dc.identifier.issn0001-5970
dc.identifier.issn1619-6937
dc.identifier.doi10.1007/s00707-016-1740-0
dc.identifier.urihttp://hdl.handle.net/10754/622199
dc.description.abstractUnderstanding the complex nonlinear dynamics of carbon nanotubes (CNTs) is essential to enable utilization of these structures in devices and practical applications. We present in this work an investigation of the global nonlinear dynamics of a slacked CNT when actuated by large electrostatic and electrodynamic excitations. The coexistence of several attractors is observed. The CNT is modeled as an Euler–Bernoulli beam. A reduced-order model based on the Galerkin method is developed and utilized to simulate the static and dynamic responses. Critical computational challenges are posed due to the complicated form of the electrostatic force, which describes the interaction between the upper electrode, consisting of the cylindrically shaped CNT, and the lower electrode. Toward this, we approximate the electrostatic force using the Padé expansion. We explore the dynamics near the primary and superharmonic resonances. The nanostructure exhibits several attractors with different characteristics. To achieve deep insight and describe the complexity and richness of the behavior, we analyze the nonlinear response from an attractor-basins point of view. The competition of attractors is highlighted. Compactness and/or fractality of their basins are discussed. Both the effects of varying the excitation frequency and amplitude are examined up to the dynamic pull-in instability.
dc.description.sponsorshipThe authors would like to thank the two anonymous reviewers for their valuable comments and constructive suggestions which contributed to improve our manuscript to a better scientific level. Laura Ruzziconi gratefully acknowledges financial support by the Italian Ministry of Education, Universities and Research (MIUR) by the PRIN funded program 2010/11, Grant N. 2010MBJK5B “Dynamics, Stability and Control of Flexible Structures.”
dc.publisherSpringer Nature
dc.relation.urlhttp://dx.doi.org/10.1007/s00707-016-1740-0
dc.titleGlobal investigation of the nonlinear dynamics of carbon nanotubes
dc.typeArticle
dc.contributor.departmentMechanical Engineering Program
dc.contributor.departmentPhysical Science and Engineering (PSE) Division
dc.identifier.journalActa Mechanica
dc.contributor.institutionDepartment of Mechanical Engineering, State University of New York at Binghamton, Binghamton, NY 13902, USA
dc.contributor.institutionFaculty of Engineering, eCampus University, via Isimbardi, 22060 Novedrate, Italy
dc.contributor.institutionDepartment of Civil and Building Engineering and Architecture, Polytechnic University of Marche, via Brecce Bianche, 60131 Ancona, Italy
kaust.personYounis, Mohammad I.
dc.date.published-online2016-11-17
dc.date.published-print2017-03


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