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Modal analysis and transient response of axially functionally graded (AFG) beam using finite element method
Ist Teil von
Materials research express, 2019-09, Vol.6 (10), p.1065
Ort / Verlag
IOP Publishing
Erscheinungsjahr
2019
Link zum Volltext
Quelle
Alma/SFX Local Collection
Beschreibungen/Notizen
In this study, the free vibration and transient response of functionally graded Euler-beam is investigated. Based on the Finite element method in conjunction with the Euler Bernoulli beam theory (EBBT), with Hamilton's principle, the governing equations of motion and corresponding various boundary conditions were obtained. The materials properties of the functionally graded beam are varied gradually through the length of the beam are calculated by using the classical rule of mixture. Fundamental frequency and displacement transient response were determined for various boundary conditions (i.e. C-C, C-S, and S-S) by using the finite element method. The influence of the material properties gradient with law power index and various boundary conditions on the free vibration and the transient response of the FG beam is discussed. In addition, the combined effect of continuous stiffness and mass distribution on the damping characteristics of the beam using FEM was studied and explained in details for different power low index. To verify the present formulation and the present results (free vibration), some of the current results are compared with the previously published results. Good agreement is observed.