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.
|Title of host publication||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|
|Number of pages||10|
|Publication status||Published - 2008|
|Event||6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C - Las Vegas, United States|
Duration: 4-Sep-2007 → 7-Sep-2007
|Conference||6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C|
|Period||04/09/2007 → 07/09/2007|