CLASSIFICATION OF INTERNAL RESONANCES IN NONLINEAR FRACTIONALY DAMPED UFLYAND-MINDLIN PLATES

International Journal for Computational Civil and Structural Engineering

卷:16

Elena Osipova¹  Marina Shitikova² 

[1] RAASN Research Institute of Structural Physics, Moscow, RUSSIA;

[2] Voronezh State Technical University, Voronezh, RUSSIA;

关键词: Nonlinear elastic Uflyand-Mindlin plate, fractional damping, fractional derivative Kelvin-oigt modelgeneralized method of multiple time scales;   

DOI  :  10.22337/2587-9618-2020-16-3-60-77

来源: DOAJ

【 摘 要 】

In the present paper, the nonlinear free vibrations of fractionally damped plates are studied, equations of motion of which take the rotary inertia and shear deformations into account and involve fivecoupled nonlinear differentialequations in terms of three mutually orthogonal displacements and two angles of rotation. The procedure resulting in decoupling linear parts of equations has been proposed with further utilization of the generalized method of multiple time scales for solving nonlinear governing equations of motion, in so doing the amplitude functions have been expanded into power series in terms of the small parameter and depend on differenttime scales. The occurrence of the internal or combinational resonances in Uflyand-Mindlinplates has been revealed and classified

【 授权许可】

Unknown