On damped nonlinear dynamic systems with many degrees of freedom

DOI10.1016/0020-7462(85)90014-9zbMath0603.70024OpenAlexW1966830915MaRDI QIDQ1082842

Cheng-Ching Chi, Reinhardt M. Rosenberg

Publication date: 1985

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7462(85)90014-9

zbMATH Keywords

dissipation functiondamping forcescompletely damped systemexistence of normal mode motionsglobal asymptotic stability of the originnonlinear springsnormal mode motionodd analytic functiontranslational degree of freedomundamped system

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) (n)-body problems (70F10)

Related Items (4)

Robustness of nonlinear targeted energy transfer in coupled oscillators to changes of initial conditions ⋮ On periodic orbits of nonlinear dynamical systems with many degrees of freedom ⋮ Nonlinear asymptotic analysis of a system of two free coupled oscillators with cubic nonlinearities ⋮ Application of the differential transformation method to the solution of a damped system with high nonlinearity

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