Non-local effect of eccentrically simply supported beam on free vibration

Autor: Bojin Li, Diyun Wen, Xin-Chun Shang, Rui Zhang
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Forces in Mechanics, Vol 12, Iss , Pp 100218- (2023)
Druh dokumentu: article
ISSN: 2666-3597
DOI: 10.1016/j.finmec.2023.100218
Popis: Based on the Euler-Bernoulli beam theory, the coupling effect between bending vibration mode shape and longitudinal vibration mode shape of the beam is analyzed when the beam is supported by eccentric simply supported. Under the assumption of small deformation, the vibration control equations and the coupling boundary conditions are obtained through Hamilton's principle and the principle of virtual work variation. The numerical results under three different boundary conditions are given. It shows that the natural frequencies of the beam vary with the eccentricity distances are in complete agreement with the results obtained from finite element analysis and literature. The results strongly proved the validity and correctness of the coupling method in this paper. It also indicates that eccentric simply supported constraints have non-local effects.
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