2019
DOI: 10.15632/jtam-pl/105463
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Steady state vibration of the periodically forced and damped pure nonlinear two-degrees-of-freedom oscillator

Abstract: In the paper, a pure nonlinear and damped two-mass oscillator excited with a periodical force is considered. The oscillator is modelled with a system of two coupled second order nonlinear and non-homogenous equations. Using the model, two problems are investigated: one, identification of the excitation force for the known vibrating response of the system, and the second, determination of vibrations of the system excited with the known periodical force. Using the steady-state motion of the nonlinear oscillator,… Show more

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Cited by 4 publications
(1 citation statement)
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“…In a study on oscillatory systems with pure cubic nonlinearity, chains with two and more degrees of freedom are the main focus before elastic systems were discussed [19]. A periodic force was used to activate a purely nonlinear and damped two-mass oscillator [20]. When numerical solutions were checked with analytically generated ones, they agreed well.…”
Section: Introductionmentioning
confidence: 96%
“…In a study on oscillatory systems with pure cubic nonlinearity, chains with two and more degrees of freedom are the main focus before elastic systems were discussed [19]. A periodic force was used to activate a purely nonlinear and damped two-mass oscillator [20]. When numerical solutions were checked with analytically generated ones, they agreed well.…”
Section: Introductionmentioning
confidence: 96%