Title :
Stability analysis of a membrane under parametric excitation
Author :
Téllez, J. ; Collado, J.
Author_Institution :
DCA CINVESTAV IPN, Mexico City, Mexico
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.
Keywords :
Galerkin method; excited states; membranes; vibrations; Galerkin Method; excitation parameters; parametric excitation; stability analysis; stability diagram; vibrating membrane; Boundary conditions; Eigenvalues and eigenfunctions; Equations; Mathematical model; Moment methods; Propagation; Stability analysis;
Conference_Titel :
Electrical Engineering Computing Science and Automatic Control (CCE), 2011 8th International Conference on
Conference_Location :
Merida City
Print_ISBN :
978-1-4577-1011-7
DOI :
10.1109/ICEEE.2011.6106587