Fundamental frequency analysis of functionally graded sandwich beams based on the state space approach
journal contributionposted on 08.12.2020, 03:30 by LC Trinh, Thuc VoThuc Vo, AI Osofero, J Lee
The state space approach is used to provide analytical solution for fundamental frequency analysis of functionally graded sandwich beams. The classical beam theory, first-order and higher-order shear deformation theories are employed to consider beams of various classical and non-classical boundary conditions. Governing equations of motions are derived from Hamilton's principle. The research investigates the effect of boundary conditions on the fundamental frequency with nine combinations of classical boundary conditions created from clamped, hinged, pinned and free conditions in accordance with three combinations of non-classical boundary conditions created from the assumption of an elastic support. In addition, the influence of material parameter and arrangement of layers as well as the slenderness ratio in vibration of functionally graded sandwich beams is examined.
The first and second authors gratefully acknowledge research support fund from Northumbria University and the fourth author gratefully acknowledges research support by the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology through 2015R1A2A1A01007535.
Pagination13p. (p. 263-275)
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Science & TechnologyTechnologyMechanicsMaterials Science, CompositesMaterials ScienceVibrationFunctionally graded sandwich beamsState space approachNon-classical boundary conditionsFREE-VIBRATION ANALYSISSHEAR DEFORMATION-THEORYARBITRARY BOUNDARY-CONDITIONSMOVING HARMONIC LOADPLY LAMINATED BEAMSDYNAMIC-RESPONSETIMOSHENKO BEAMSEULERMaterials