TY - GEN
T1 - Bifurcation analysis of a microactuator using a new toolbox for continuation of hybrid system trajectories
AU - Kang, Wonmo
AU - Wilcox, Bryan
AU - Dankowicz, Harry
AU - Thota, Phanikrishna
PY - 2008
Y1 - 2008
N2 - This paper presents the application of a newly developed computational toolbox, TC-HAT (TĈ), for bifurcation analysis of systems in which continuous-in-time dynamics are interrupted by discrete-in-time events, here referred to as hybrid dynamical systems. In particular, new results pertaining to the dynamic behavior of an example hybrid dynamical system, an impact microactuator, are obtained using this software program. Here, periodic trajectories of the actuator with single or multiple impacts per period and associated saddle-node, period-doubling, and grazing bifurcation curves are documented. The analysis confirms previous analytical results regarding the presence of co-dimension-two grazing bifurcation points from which saddle-node and period-doubling bifurcation curves emanate.
AB - This paper presents the application of a newly developed computational toolbox, TC-HAT (TĈ), for bifurcation analysis of systems in which continuous-in-time dynamics are interrupted by discrete-in-time events, here referred to as hybrid dynamical systems. In particular, new results pertaining to the dynamic behavior of an example hybrid dynamical system, an impact microactuator, are obtained using this software program. Here, periodic trajectories of the actuator with single or multiple impacts per period and associated saddle-node, period-doubling, and grazing bifurcation curves are documented. The analysis confirms previous analytical results regarding the presence of co-dimension-two grazing bifurcation points from which saddle-node and period-doubling bifurcation curves emanate.
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U2 - 10.1115/DETC2007-34441
DO - 10.1115/DETC2007-34441
M3 - Conference contribution
AN - SCOPUS:44949166744
SN - 0791848027
SN - 9780791848029
SN - 079184806X
SN - 9780791848067
T3 - 2007 Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC2007
SP - 193
EP - 202
BT - 2007 Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC2007
T2 - 6th International Conference on Multibody Systems, Nonlinear Dynamics and Control, presented at - 2007 ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2007
Y2 - 4 September 2007 through 7 September 2007
ER -