Bifurcation analysis of a microactuator using a new toolbox for continuation of hybrid system trajectories

Wonmo Kang; Phanikrishna Thota; Bryan Wilcox; Harry Dankowicz

doi:10.1115/1.3007975

Bifurcation analysis of a microactuator using a new toolbox for continuation of hybrid system trajectories

Wonmo Kang, Phanikrishna Thota, Bryan Wilcox, Harry Dankowicz

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

This paper presents the application of a newly developed computational toolbox, TC-HAT (TC), 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 a sample 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.

Original language	English (US)
Pages (from-to)	1-8
Number of pages	8
Journal	Journal of Computational and Nonlinear Dynamics
Volume	4
Issue number	1
DOIs	https://doi.org/10.1115/1.3007975
State	Published - Jan 2009
Externally published	Yes

ASJC Scopus subject areas

Control and Systems Engineering
Mechanical Engineering
Applied Mathematics

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abstract = "This paper presents the application of a newly developed computational toolbox, TC-HAT (TC), 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 a sample 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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Bifurcation analysis of a microactuator using a new toolbox for continuation of hybrid system trajectories

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