Stability analysis of a membrane under parametric excitation
Juan José Téllez, Joaquı́n Collado
Abstract
Juan José Téllez, Joaquı́n Collado
Abstract
This paper presents a study of the behavior of a membrane in presence of parametric excitation, membrane is first discretized using Galerkin Method and obtained a stability diagram that corresponds to the variation of the excitation parameters. Three cases are worked, one when the parametric excitation is added in the temporary response arbitrarily, the other two when the parametric excitation is applied in the boundary of the membrane.
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This paper presents a study of the behavior of a membrane in presence of parametric excitation, membrane is first discretized using Galerkin Method and obtained a stability diagram that corresponds to the variation of the excitation parameters. Three cases are worked, one when the parametric excitation is added in the temporary response arbitrarily, the other two when the parametric excitation is applied in the boundary of the membrane.
Key concepts: Excitation, Parametric statistics, Stability (learning theory), Galerkin method, Discretization, Membrane, Control theory (sociology), Boundary (topology)