A mischaracterization of the rôle of membrane theory in the computation of the low natural frequencies of a clamped cylindrical shell

DOI10.1007/S004190000096zbMATH Open1003.74046OpenAlexW2089729430MaRDI QIDQ5944664

J. G. Simmonds

Publication date: 2001

Published in: Archive of Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s004190000096

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Vibrations in dynamical problems in solid mechanics (74H45) Shells (74K25) Membranes (74K15)

Related Items (1)

Effects of release of boundary constraints on the natural frequencies of clamped, thin, cylindrical shells

Recommendations

• An effective method for computing natural frequencies of a membrane with a polygonal boundary 👍 👎
• The effect of a weak nonlinearity on the lowest cut-off frequencies of a cylindrical shell 👍 👎
• Computation of axisymmetric nonlinear low-frequency resonances of hyperelastic thin-walled cylindrical shells 👍 👎
• Asymptotic corrections to the low-frequency theory for a cylindrical elastic shell 👍 👎
• Effects of release of boundary constraints on the natural frequencies of clamped, thin, cylindrical shells 👍 👎
• CHARACTERIZATION OF THE MEMBRANE THEORY OF A CLAMPED SHELL: THE PARABOLIC CASE 👍 👎
• CHARACTERIZATION OF THE MEMBRANE THEORY OF A CLAMPED SHELL. 👍 👎
• CHARACTERIZATION OF THE MEMBRANE THEORY OF A CLAMPED SHELL: THE HYPERBOLIC CASE 👍 👎

This page was built for publication: A mischaracterization of the rôle of membrane theory in the computation of the low natural frequencies of a clamped cylindrical shell

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q5944664)