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Tuesday, July 9 • 15:30 - 15:50

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The non-linear vibrations of simply-supported laminated composite beams are investigated by using the normal modes method and the method of multiple scales. Closed-form analytical solution is determined and compared with finite element solution. For the closed-form solution, both the cylindrical bending theory and one-dimensional laminated beam theory are considered. For both the cases, the frequency-response curves and backbone curves are obtained for near-resonant oscillations of the composite beam. The excitation frequency and amplitude at which the beam shows significant non-linearity and the dependence of non-linearity on excitation amplitude are investigated. The relative accuracy of solutions obtained based on the cylindrical bending theory and one-dimensional laminated beam theory in describing the non-linear vibrations during passage through resonance is evaluated. A parametric study is performed in order to investigate the dependence of non-linearity on the slenderness ratio and the aspect ratio of the beam.


Elsa Piollet

Dr, Polytechnique Montréal
avatar for Mohammad Rafiee

Mohammad Rafiee

Postdoctoral Fellow, Polytechnique Montréal
Mohammad Rafiee received his Ph.D. degree in Mechanical Engineering from the University of Ottawa in 2018. Currently, he is a Postdoctoral Fellow at Polytechnique Montreal in Canada. His research interests are primarily focused on the development of advanced composite materials, smart... Read More →

Annie Ross

Professor, Polytechnique Montreal


Tuesday July 9, 2019 15:30 - 15:50 EDT
St-Laurent 8