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Conference Papers Year : 2021

Predicting the Type of Nonlinearity of Shallow Spherical Shells: Comparison of Direct Normal Form with Modal Derivatives

Abstract

Nonlinear vibrations of free-edge shallow spherical shells with large amplitudes are investigated, with the aim of predicting the type of nonlinearity (hardening/softening behaviour) for each mode of the shell, as a function of the radius R of curvature of the shell, from the plate case (R → ∞) to the limit of non-shallow shell. Two different models (based on von Kármán's assumptions or on full numerical finite element approach), and two different methods (normal form and modal derivatives) are contrasted.
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Dates and versions

hal-04073620 , version 1 (18-04-2023)

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Yichang Shen, Nassim Kesmia, Cyril Touzé, Alessandra Vizzaccaro, Loic Salles, et al.. Predicting the Type of Nonlinearity of Shallow Spherical Shells: Comparison of Direct Normal Form with Modal Derivatives. Second International Nonlinear Dynamics Conference (NODYCON 2021), Feb 2021, Rome, Italy. pp.361-371, ⟨10.1007/978-3-030-81162-4_32⟩. ⟨hal-04073620⟩
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