An equivalent linearization technique has been incorporated into NASTRAN to predict the geometrically nonlinear random vibration responses of laminated plates subjected to acoustic excitation. The nonlinear equations of motion of laminated plates are obtained based on the classical laminated plate theory and large deflection finite element formulation. The existing internal variables in the modal frequency response solution sequence of NASTRAN are called directly by the direct matrix abstraction program, and the direct matrix abstraction program implements the iterative procedure for determining the modal equivalent linear stiffness matrix. In this way, the usual manner of computing variables is retained; that is, these variables are determined internally within NASTRAN using information provided in the bulk data file written by PATRAN. The numerical results for a thin, simply supported, aluminum plate are in good agreement with previously reported data, which confirms the proposed method has reasonable precision and high efficiency. Then, the proposed method is applied for analyzing the geometrically nonlinear random responses of thin, simply supported, laminated plates. It is shown that the geometric nonlinearity plays an important role in the vibration response of laminated plates, particularly at high acoustic pressure loading.
Geometrically Nonlinear Random Vibration Responses of Laminated Plates Subjected to Acoustic Excitation
AIAA Journal ; 56 , 7 ; 2827-2839
2018-03-30
13 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch