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math.NA2016★ 7 cited
High frequency oscillations of first eigenmodes in axisymmetric shells as the thickness tends to zero
Marie Chaussade-Beaudouin, Monique Dauge, Erwan Faou +1
The lowest eigenmode of thin axisymmetric shells is investigated for two physical models (acoustics and elasticity) as the shell thickness (2) tends to zero. Using a novel asymp…
math.NA2016★ 3 cited
Free Vibrations of Axisymmetric Shells: Parabolic and Elliptic cases
Marie Chaussade-Beaudouin, Monique Dauge, Erwan Faou +1
Approximate eigenpairs (quasimodes) of axisymmetric thin elastic domains with laterally clamped boundary conditions (Lam{é} system) are determined by an asymptotic analysis as the…