Details

Autor(en) / Beteiligte

• Pham, Hoang-Anh
• Truong, Viet-Hung
• Vu, Tien-Chuong

Titel

Fuzzy finite element analysis for free vibration response of functionally graded semi-rigid frame structures

Ist Teil von

• Applied Mathematical Modelling, 2020-12, Vol.88, p.852-869

Ort / Verlag

New York: Elsevier Inc

Erscheinungsjahr

2020

Quelle

Taylor & Francis Journals Auto-Holdings Collection

Beschreibungen/Notizen

• •A novel fuzzy analysis approach for free vibration of FGM semi-rigid structures is developed.•A new Timishenko beam element is established to account for the connection flexibility.•An efficient response surface-based optimization solution is introduced to estimate the fuzzy natural frequency.•The method can estimate accurately the fuzzy natural frequency with affordable computational cost.•Connection uncertainties significantly enlarge the fuzziness of the natural frequencies. This study contributes a practical approach for the fuzzy free vibration quantification of functionally graded semi-rigid frame structures. A new Timoshenko beam element is formulated to include the connection rigidity for the analysis purpose. The finite element formulation is general to present different semi-rigid conditions, whereas hinged and rigid connections are special cases. Furthermore, an efficient response-surface-based fuzzy analysis is established based on the α–cut strategy and first-order Taylor's approximation to predict the fuzzy natural frequencies of the structures. Highlighted point is that various input uncertainties, such as the material characteristics, the member dimensions, and the connection rigidities, can be incorporated in the analysis by the presented fuzzy methodology. Computational efficiency and correctness of the proposed method are shown, and the effect of the uncertainties, especially of the connection rigidities, on the natural frequency of semi-rigid FGM structures is explored via solving some numerical examples.