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dc.contributor.author
Machado, Sebastián Pablo
dc.contributor.author
Saravia, César Martín
dc.date.available
2023-10-25T13:28:55Z
dc.date.issued
2012-11
dc.identifier.citation
Machado, Sebastián Pablo; Saravia, César Martín; The shear deformation effect on the nonlinear dynamic of a simple rotor blade; Asociación Argentina de Mecánica Computacional; Mecánica Computacional; 31; 11-2012; 2469-2484
dc.identifier.uri
http://hdl.handle.net/11336/215842
dc.description.abstract
The nonlinear planar response of a cantilever rotating slender beam to a principal parametric resonance of its first bending mode is analyzed considering the effect of shear deformation. The equation of motion is obtained in the form of an integro-partial differential equation, taking into account mid-plane stretching, a rotation speed and modal damping. A composite linear elastic material is considered and the cross-section properties are assumed to be constant given the assumption of small strains. The beam is subjected to a harmonic transverse load in the presence of internal resonance. The internal resonance can be activated for a range of the beam rotating speed, where the second natural frequency is approximately three times the first natural frequency. The method of multiple scales method is used to derive four-first ordinary differential equations that govern the evolution of the amplitude and phase of the response. These equations are used to determine the steady state responses and their stability. Nonlinear normal modes are obtained for the two models, considering and neglecting the effect of shear deformation. The results of the analysis show that the equilibrium solutions are influenced by the transverse shear effect. When this effect is ignored the amplitude of vibration is reduced significantly, thus altering the dynamic response of the beam. This alteration can lead to an incorrect stability prediction of the periodic solutions.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Asociación Argentina de Mecánica Computacional
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Composite material
dc.subject
thin-walled rotating beam
dc.subject
non-linear dynamic
dc.subject.classification
Mecánica Aplicada
dc.subject.classification
Ingeniería Mecánica
dc.subject.classification
INGENIERÍAS Y TECNOLOGÍAS
dc.title
The shear deformation effect on the nonlinear dynamic of a simple rotor blade
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2023-05-12T14:50:05Z
dc.journal.volume
31
dc.journal.pagination
2469-2484
dc.journal.pais
Argentina
dc.journal.ciudad
Salta
dc.description.fil
Fil: Machado, Sebastián Pablo. Universidad Tecnológica Nacional. Facultad Regional Bahía Blanca. Grupo de Análisis de Sistemas Mecánicos; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
dc.description.fil
Fil: Saravia, César Martín. Universidad Tecnológica Nacional. Facultad Regional Bahía Blanca. Grupo de Análisis de Sistemas Mecánicos; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
dc.journal.title
Mecánica Computacional
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.amcaonline.org.ar/ojs/index.php/mc/article/view/4201/4127
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