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Isolated response curves in a base-excited, two-degree-of-freedom, nonlinear system

Publication ,  Conference
Nöel, JP; Detroux, T; Masset, L; Kerschen, G; Virgin, LN
Published in: Proceedings of the ASME Design Engineering Technical Conference
January 1, 2015

In the present paper, isolated response curves in a nonlinear system consisting of two masses sliding on a horizontal guide are examined. Transverse springs are attached to one mass to provide the nonlinear restoring force, and a harmonic motion of the complete system is imposed by prescribing the displacement of their supports. Numerical simulations are carried out to study the conditions of existence of isolated solutions, their bifurcations, their merging with the main response branch and their basins of attraction. This is achieved using tools including nonlinear normal modes, energy balance, harmonic balance-based continuation and bifurcation tracking, and global analysis.

Duke Scholars

Published In

Proceedings of the ASME Design Engineering Technical Conference

DOI

ISBN

9780791857168

Publication Date

January 1, 2015

Volume

6
 

Citation

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Nöel, J. P., Detroux, T., Masset, L., Kerschen, G., & Virgin, L. N. (2015). Isolated response curves in a base-excited, two-degree-of-freedom, nonlinear system. In Proceedings of the ASME Design Engineering Technical Conference (Vol. 6). https://doi.org/10.1115/DETC2015-46106
Nöel, J. P., T. Detroux, L. Masset, G. Kerschen, and L. N. Virgin. “Isolated response curves in a base-excited, two-degree-of-freedom, nonlinear system.” In Proceedings of the ASME Design Engineering Technical Conference, Vol. 6, 2015. https://doi.org/10.1115/DETC2015-46106.
Nöel JP, Detroux T, Masset L, Kerschen G, Virgin LN. Isolated response curves in a base-excited, two-degree-of-freedom, nonlinear system. In: Proceedings of the ASME Design Engineering Technical Conference. 2015.
Nöel, J. P., et al. “Isolated response curves in a base-excited, two-degree-of-freedom, nonlinear system.” Proceedings of the ASME Design Engineering Technical Conference, vol. 6, 2015. Scopus, doi:10.1115/DETC2015-46106.
Nöel JP, Detroux T, Masset L, Kerschen G, Virgin LN. Isolated response curves in a base-excited, two-degree-of-freedom, nonlinear system. Proceedings of the ASME Design Engineering Technical Conference. 2015.

Published In

Proceedings of the ASME Design Engineering Technical Conference

DOI

ISBN

9780791857168

Publication Date

January 1, 2015

Volume

6