Publication

Classification of periodic solutions in a single-degree-of-freedom system with backlash

Besselink, B., Shukla, A., Fey, R. & Nijmeijer, H., 2008, Proceedings of the ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C, Las Vegas, USA. Vol. 5. p. 173-182 10 p.

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

In this paper a single degree-of-freedom system with backlash is studied for its periodic response. This system is modeled as a piecewise linear system with discontinuity in the net restoring force, caused by additional damping in the contact-zone. The periodic orbits are classified by their number of subspace boundary crossings and Floquet multipliers. For this classification, the known analytical solutions in the different subspaces are used in the multiple shooting algorithm and a continuation method. Some observations are also presented about the qualitative features (such as symmetry, rigid body solutions) exhibited by this class of systems.
Original languageEnglish
Title of host publicationProceedings of the ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C, Las Vegas, USA
Pages173-182
Number of pages10
Volume5
ISBN (Electronic)0-7918-3806-4
Publication statusPublished - 2008
Externally publishedYes
Event6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C - Las Vegas, United States
Duration: 4-Sep-20077-Sep-2007

Conference

Conference6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C
CountryUnited States
CityLas Vegas
Period04/09/200707/09/2007

Event

6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C

04/09/200707/09/2007

Las Vegas, United States

Event: Conference

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