@Article{AAMM-9-6,
author = {Meng, Lingchang and Li, Fengming},
title = {Nonlinear Vibrations of Two-Span Composite Laminated Plates with Equal and Unequal Subspan Lengths},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2017},
volume = {9},
number = {6},
pages = {1485--1505},
abstract = {<p style="text-align: justify;">The nonlinear transverse vibrations of ordered and disordered two-dimensional
(2D) two-span composite laminated plates are studied. Based on the von
Karman&#39;s large deformation theory, the equations of motion of each-span composite
laminated plate are formulated using Hamilton&#39;s principle, and the partial differential
equations are discretized into nonlinear ordinary ones through the Galerkin&#39;s method.
The primary resonance and 1/3 sub-harmonic resonance are investigated by using the
method of multiple scales. The amplitude-frequency relations of the steady-state responses
and their stability analyses in each kind of resonance are carried out. The
effects of the disorder ratio and ply angle on the two different resonances are analyzed.
From the numerical results, it can be concluded that disorder in the length of
the two-span 2D composite laminated plate will cause the nonlinear vibration localization
phenomenon, and with the increase of the disorder ratio, the vibration localization
phenomenon will become more obvious. Moreover, the amplitude-frequency curves
for both primary resonance and 1/3 sub-harmonic resonance obtained by the present
analytical method are compared with those by the numerical integration, and satisfactory
precision can be obtained for engineering applications and the results certify the
correctness of the present approximately analytical solutions.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2016-0121},
url = {https://global-sci.com/article/73313/nonlinear-vibrations-of-two-span-composite-laminated-plates-with-equal-and-unequal-subspan-lengths}
}