On the stability of nonlinear circumferential waves in a spinning rectilinearly orthotropic disk

DOI10.1016/0020-7403(83)90092-9zbMath0502.73049OpenAlexW2067663726MaRDI QIDQ1172948

J. L. Nowinski

Publication date: 1983

Published in: International Journal of Mechanical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7403(83)90092-9

zbMATH Keywords

characteristic equationconnecting speed of propagation and amplitude of circumferential wavesdecoupled by means of rotational transformation of dependent variablesparticular form for transverse deflectionsrectilinearly orthotropic materialrotating membrane-like disksystem of two coupled nonlinear differential equations of second and fourth ordertemporal perturbations on deflectionstwo ordinary coupled differential equations with variable coefficients

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Nonlinear higher-order PDEs (35G20) Solutions to PDEs in closed form (35C05)

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