Abstract
This paper investigates large amplitude multi-mode free vibration andrandom response of thin cylindrical panels of rectangular planform usinga finite element modal formulation. A thin laminated composite doublycurved element is developed. The system equation in structural nodal DOFis transformed into the modal coordinates by the using the modes of theunderlying linear system. The nonlinear stiffness matrices are alsotransformed into nonlinear modal stiffness matrices. Numericalintegration is employed to determine free vibration and random response.Single-mode free vibration results are compared with existing classicalanalytical solutions to validate the nonlinear modal formulation.Nonlinear random analysis results for cylindrical panels have shown thatthe root mean square of panel deflections could be larger than thoseobtained using the linear structure theory. Time histories, probabilitydistribution functions, power spectral densities, and phase plane plotsare also presented.
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Lee, Y.Y., Ng, C.F. & Guo, X. Nonlinear Random Response of Cylindrical Panels to Acoustic Excitations Using Finite Element Modal Method. Nonlinear Dynamics 31, 327–345 (2003). https://doi.org/10.1023/A:1022908402329
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DOI: https://doi.org/10.1023/A:1022908402329