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On the Parametric Excitation of a Dynamic System Having Multiple Degrees of Freedom
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1963
Year
Stability AnalysisDeterministic Dynamical SystemEngineeringMultiple DegreesLyapunov AnalysisDistributed Parameter SystemDiscrete Dynamical SystemMechanical SystemsSystem StabilityOscillation TheoryBifurcation TheoryNonlinear ResonanceParametric ExcitationVibration ControlOrdinary Differential EquationsNonlinear OscillationStability
A dynamical system having multiple degrees of freedom and under parametric excitation is governed by a system of ordinary differential equations with periodic coefficients. In this paper a first-approximation analysis is carried out and criteria for instability are derived explicitly.