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Curvature effects on the eigenproperties of axisymmetric thin shells
AbstractA set of linear elastic homogeneous isotropic axisymmetric thin shells of revolution with plane projection of radius R varying with the height c of the pole, to keep constant mass, is introduced. Their curvature and dynamical properties depend on the ratio , and their linear dynamics is investigated by standard modal analysis, adopting a commercial code, and accounting for curvature. Natural frequencies for a given mode are linear with , decrease for membrane modes, and increase for transverse modes. Thus, membrane and transverse modes may shift as curvature grows; graphical and numerical results are reported.
HighlightsA family of thin linear elastic homogeneous isotropic 2-dimensional elements has been built, from a circular plate to a hemispherical shell.The elements of the family have axial symmetry, and their plane projection has radius R varying with the height c of the pole, to keep constant mass.The linear dynamics of the family is investigated by standard modal analysis, adopting a commercial code, depending on the ratio c/R to account for curvature.Natural frequencies for a given mode are linear with c/R, decrease for membrane modes, and increase for transverse modes.Membrane and transverse modes may shift as curvature grows; this may be important for applications.
Curvature effects on the eigenproperties of axisymmetric thin shells
AbstractA set of linear elastic homogeneous isotropic axisymmetric thin shells of revolution with plane projection of radius R varying with the height c of the pole, to keep constant mass, is introduced. Their curvature and dynamical properties depend on the ratio , and their linear dynamics is investigated by standard modal analysis, adopting a commercial code, and accounting for curvature. Natural frequencies for a given mode are linear with , decrease for membrane modes, and increase for transverse modes. Thus, membrane and transverse modes may shift as curvature grows; graphical and numerical results are reported.
HighlightsA family of thin linear elastic homogeneous isotropic 2-dimensional elements has been built, from a circular plate to a hemispherical shell.The elements of the family have axial symmetry, and their plane projection has radius R varying with the height c of the pole, to keep constant mass.The linear dynamics of the family is investigated by standard modal analysis, adopting a commercial code, depending on the ratio c/R to account for curvature.Natural frequencies for a given mode are linear with c/R, decrease for membrane modes, and increase for transverse modes.Membrane and transverse modes may shift as curvature grows; this may be important for applications.
Curvature effects on the eigenproperties of axisymmetric thin shells
Guidi, Matteo (author) / Fregolent, Annalisa (author) / Ruta, Giuseppe (author)
Thin-Walled Structures ; 119 ; 224-234
2017-06-07
11 pages
Article (Journal)
Electronic Resource
English
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