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dc.contributor.authorYardımoğlu, Bülent
dc.contributor.authorInman, Daniel J.
dc.date.accessioned2016-05-27T07:06:08Z
dc.date.available2016-05-27T07:06:08Z
dc.date.issued2003
dc.identifier.citationYardımoğlu, B., and Inman, D. J. (2003). Coupled bending-bending-torsion vibration of a pre-twisted beam with aerofoil cross-section by the finite element method. Shock and Vibration, 10(4), 223-230. doi:10.1155/2003/354074en_US
dc.identifier.issn1070-9622
dc.identifier.urihttp://doi.org/10.1155/2003/354074
dc.identifier.urihttp://hdl.handle.net/11147/4667
dc.description.abstractThe present study deals with a finite element model for coupled bending-bending-torsion vibration analysis of a pretwisted Timoshenko beam with varying aerofoil cross-section. The element derived in this paper has two nodes, with seven degrees of freedom at each node. The nodal variables are transverse displacements, cross-section rotations and the shear angles in two planes and torsional displacement. The advantage of the present element is the exclusion of unnecessary derivatives of fundamental nodal variables, which were included to obtain invertable square matrix by other researchers, by choosing proper displacement functions and using relationship between cross-sectional rotation and the shear deformation. Element stiffness and mass matrices are developed from strain and kinetic energy expressions by assigning proper order polynomial expressions for cross-section properties and considering higher order coupling coefficients. The correctness of the present model is confirmed by the experimental results available in the literature. Comparison of the proposed model results with those in the literature indicates that a faster convergence is obtained. The results presented also provide some insights in the formulation by clearly indicating that higher order coupling terms have considerable influence on the natural frequencies.en_US
dc.language.isoengen_US
dc.publisherIOS Pressen_US
dc.relation.isversionof10.1155/2003/354074en_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectVibrationsen_US
dc.subjectTransverse displacementsen_US
dc.subjectConvergence of numerical methodsen_US
dc.subjectFinite element methoden_US
dc.subjectKinetic energyen_US
dc.subjectTorsional stressen_US
dc.titleCoupled bending-bending-torsion vibration of a pre-twisted beam with aerofoil cross-section by the finite element methoden_US
dc.typearticleen_US
dc.contributor.authorIDTR7472en_US
dc.contributor.iztechauthorYardımoğlu, Bülent
dc.relation.journalShock and Vibrationen_US
dc.contributor.departmentIzmir Institute of Technology. Mechanical Engineeringen_US
dc.identifier.volume10en_US
dc.identifier.issue4en_US
dc.identifier.startpage223en_US
dc.identifier.endpage230en_US
dc.identifier.wosWOS:000185636800002
dc.identifier.scopusSCOPUS:2-s2.0-0142227014


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