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- W4385322786 abstract "Abstract An analysis is presented for two degree of freedom weakly nonlinear oscillators, with symmetric restoring force. Conditions of 1:3 internal resonance and subharmonic resonance of the lower linear natural mode are assumed to be satisfied simultaneously. Initially, a set of slow-flow equations is derived, governing the amplitudes and phases of approximate response, by applying an asymptotic analytical method. Determination of approximate periodic steady-state motions of the system is then reduced to solution of sets of polynomial equations which is performed analytically. Then, a systematic search is performed based on this analysis, revealing effects of the system parameters on the existence and stability properties of periodic steady-state motions for an example mechanical system. The results are first presented in the form of frequency-response diagrams and attention is focused on understanding the evolution and interaction of the various solution branches as the internal resonance detuning parameter is varied. In addition, numerical integration of the slow-flow equations reveals that for some parameter combinations they accept periodic solutions, corresponding to quasiperiodic motions of the mechanical system." @default.
- W4385322786 created "2023-07-28" @default.
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- W4385322786 date "1996-11-17" @default.
- W4385322786 modified "2023-09-23" @default.
- W4385322786 title "Prediction and Control of Dynamics for a Class of Oscillators With Nonlinear Restoring Force" @default.
- W4385322786 doi "https://doi.org/10.1115/imece1996-0459" @default.
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