TY - JOUR
T1 - Nonlinear random response of cylindrical panels to acoustic excitations using finite element modal method
AU - Lee, Y. Y.
AU - Ng, C. F.
AU - Guo, Xinyun
PY - 2003/2
Y1 - 2003/2
N2 - This paper investigates large amplitude multi-mode free vibration and random response of thin cylindrical panels of rectangular planform using a finite element modal formulation. A thin laminated composite doubly curved element is developed. The system equation in structural nodal DOF is transformed into the modal coordinates by the using the modes of the underlying linear system. The nonlinear stiffness matrices are also transformed into nonlinear modal stiffness matrices. Numerical integration is employed to determine free vibration and random response. Single-mode free vibration results are compared with existing classical analytical solutions to validate the nonlinear modal formulation. Nonlinear random analysis results for cylindrical panels have shown that the root mean square of panel deflections could be larger than those obtained using the linear structure theory. Time histories, probability distribution functions, power spectral densities, and phase plane plots are also presented.
AB - This paper investigates large amplitude multi-mode free vibration and random response of thin cylindrical panels of rectangular planform using a finite element modal formulation. A thin laminated composite doubly curved element is developed. The system equation in structural nodal DOF is transformed into the modal coordinates by the using the modes of the underlying linear system. The nonlinear stiffness matrices are also transformed into nonlinear modal stiffness matrices. Numerical integration is employed to determine free vibration and random response. Single-mode free vibration results are compared with existing classical analytical solutions to validate the nonlinear modal formulation. Nonlinear random analysis results for cylindrical panels have shown that the root mean square of panel deflections could be larger than those obtained using the linear structure theory. Time histories, probability distribution functions, power spectral densities, and phase plane plots are also presented.
KW - Acoustic excitation
KW - Curved panel
KW - Finite element
KW - Modal coordinates
KW - Nonlinear random vibration
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U2 - 10.1023/A:1022908402329
DO - 10.1023/A:1022908402329
M3 - RGC 21 - Publication in refereed journal
VL - 31
SP - 327
EP - 345
JO - Nonlinear Dynamics
JF - Nonlinear Dynamics
SN - 0924-090X
IS - 3
ER -