Journal
MECCANICA
Volume 50, Issue 3, Pages 675-688Publisher
SPRINGER
DOI: 10.1007/s11012-014-9945-6
Keywords
Two-layer beam; Nonlinear interface; Different boundary conditions; Free vibrations
Categories
Funding
- Italian Ministry of Education, University and Research (MIUR) by the PRIN [2010MBJK5B]
Ask authors/readers for more resources
The nonlinear free vibrations of a two-layer elastic composite beam are investigated. Different boundary conditions, both symmetric and not symmetric with respect to the beam midpoint, equal on both layers and different on each layers, are considered. The analysis is developed by means of the multiple time scale method, and at each order of the asymptotic development, we obtain different information. The first order terms provide the linear natural frequencies. The first, the second and the third natural frequencies are computed explicitly. The next order terms, on the other hand, provide the nonlinearity coefficients measuring the nonlinear amplitude dependence of the natural frequencies, i.e. the curvature of the backbone curve. Both the linear frequencies and the nonlinear coefficients are found to be dependent on two dimensionless parameters only and, for boundary conditions different on each layer, also of the ratio between the axial stiffnesses of each layer.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available