Free vibration analysis of uniform or tapered beams with transversely functionally graded materials

2018
Koçkaya, Okan
There are several analysis techniques in the literature for structural members with functionally graded material (FGM). Solutions based on theory of elasticity are the most common. Finite element approach with plate, shell or solid elements is an alternative popular solution technique. Beam elements are being recently used in the finite element approach for this purpose. Displacement (DB) and force based (FB) elements are the two main choices in this regard: while the FB method is a more recent approach, DB counterpart is the more commonly used technique. In this thesis, the proposed FB methodology for analyzing beams wi th FGM is verified using linear elastic free vibration analyses with comparison to the numerical results in the literature. The benchmark examples are selected solutions from the literature as well as the solution of the problem using the well-known and verified DB general purpose finite element code ANSYS. First five modal frequencies obtained using the proposed methodology are compared to the benchmark results for different cases. For the validation, uniform and tapered geometries are considered separately with homogeneous material and transversely distributed FGM. The effects of different boundary conditions and aspect ratios are taken into account.

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Citation Formats
O. Koçkaya, “Free vibration analysis of uniform or tapered beams with transversely functionally graded materials,” M.S. - Master of Science, Middle East Technical University, 2018.