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Fractal boundary explorations for a nonlinear two degree-of-freedom system

Publication ,  Journal Article
Owens, BAM; Mann, BP
Published in: Proceedings of the ASME Design Engineering Technical Conference
December 1, 2012

This paper explores a two degree-of-freedom nonlinearly coupled system with two distinct potential wells. The system consists of a pair of linear mass-spring-dampers with a non-linear, mechanical coupling between them. This nonlinearity creates fractal boundaries for basins of attraction and forced well-escape response. The inherent uncertainty of these fractal boundaries is quantified for errors in the initial conditions and parameter space. This uncertainty relationship provides a measure of the final state and transient sensitivity of the system. Copyright © 2012 by ASME.

Duke Scholars

Published In

Proceedings of the ASME Design Engineering Technical Conference

DOI

Publication Date

December 1, 2012

Volume

1

Issue

PARTS A AND B

Start / End Page

507 / 511
 

Citation

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Owens, B. A. M., & Mann, B. P. (2012). Fractal boundary explorations for a nonlinear two degree-of-freedom system. Proceedings of the ASME Design Engineering Technical Conference, 1(PARTS A AND B), 507–511. https://doi.org/10.1115/DETC2012-70327
Owens, B. A. M., and B. P. Mann. “Fractal boundary explorations for a nonlinear two degree-of-freedom system.” Proceedings of the ASME Design Engineering Technical Conference 1, no. PARTS A AND B (December 1, 2012): 507–11. https://doi.org/10.1115/DETC2012-70327.
Owens BAM, Mann BP. Fractal boundary explorations for a nonlinear two degree-of-freedom system. Proceedings of the ASME Design Engineering Technical Conference. 2012 Dec 1;1(PARTS A AND B):507–11.
Owens, B. A. M., and B. P. Mann. “Fractal boundary explorations for a nonlinear two degree-of-freedom system.” Proceedings of the ASME Design Engineering Technical Conference, vol. 1, no. PARTS A AND B, Dec. 2012, pp. 507–11. Scopus, doi:10.1115/DETC2012-70327.
Owens BAM, Mann BP. Fractal boundary explorations for a nonlinear two degree-of-freedom system. Proceedings of the ASME Design Engineering Technical Conference. 2012 Dec 1;1(PARTS A AND B):507–511.

Published In

Proceedings of the ASME Design Engineering Technical Conference

DOI

Publication Date

December 1, 2012

Volume

1

Issue

PARTS A AND B

Start / End Page

507 / 511