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Free Vibration Analysis of a Functionally Graded Beam with Finite Elements Method

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dc.contributor.authorDemir, C.
dc.contributor.authorOz, F. E.
dc.date.accessioned2026-06-27T13:13:42Z
dc.date.issued2011
dc.description.abstractIn this study, free vibration analysis of a functionally graded (FG) beam under various boundary conditions is carried out. Natural frequencies of the FG beam are analysed by using Finite Elements method. The system of equations of motion is derived by using Lagrange's equations with the assumption of Euler Bernoulli beam theory. The material properties of the beam are assumed to vary through thickness according to power-law form. Different boundary conditions are attained by applying different stiffness values to the springs connected at the ends. The model is validated by comparing the results with previous studies. The effects of various material distributions and spring support values on the natural frequency parameters of the FG beam are discussed in detail.en
dc.identifier.endpage43
dc.identifier.isbn978-80-7372-759-8
dc.identifier.startpage37
dc.identifier.urihttps://hdl.handle.net/20.500.14981/50766
dc.identifier.wos000393361600003
dc.language.isoeng
dc.publisherTECHNICAL UNIVERSITY LIBEREC
dc.relation.conference10th Biennial International Conference on Vibration Problems (ICOVP)
dc.relation.ispartofVIBRATION PROBLEMS, ICOVP 2011, SUPPLEMENT
dc.subjectFunctionally Graded Materials
dc.subjectEuler Bernoulli beam
dc.subjectNatural Frequency
dc.subjectFinite Element Method
dc.subjectEngineering
dc.titleFree Vibration Analysis of a Functionally Graded Beam with Finite Elements Method
dc.typeProceedings Paper
dspace.entity.typePublication
local.import.sourceWOS

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