 |
In this paper, a theoretical model based on Hamilton's principle and spectral analysis is used to obtain the geometrically non linear free and steady state forced response of a laminated skew plate at large vibration amplitudes. Such a structure is analyzed regarding the influence of different parameters: the intensity of the excitation force, the ply properties, the plate aspect ratio and skew angle. The solution of the amplitude equation is obtained in each case using the explicit analytical approach previously developed. The results showed, as may be expected due to the membrane forces induced by the large vibration amplitudes, a non linearity of the hardening type with a shift to the right of the bent frequency response function, in the neighborhood of the fundamental mode. The effects of the various parameters mentioned above have been examined and the comparison between the results obtained and those available in previous studies showed a good agreement.
