Title :
A multiplay model for rate-independent and rate-dependent hysteresis with nonlocal memory
Author :
Drincic, Bojana ; Bernstein, Dennis S.
Author_Institution :
Aerosp. Eng. Dept., Univ. of Michigan, Ann Arbor, MI, USA
Abstract :
We consider the multiplay model for hysteresis with nonlocal memory. This model consists of N mass/spring/dashpot with deadzone elements. The hysteresis map of the multiplay model is completely determined by the stiffness coefficients and widths of the gaps of the mass/spring/dashpot with deadzone elements. This multiplay model can be used to model a hysteretic system with a hysteresis map possessing the symmetry of the cyclic rotation group C2. Parameters of the multiplay model can be determined based on the slope of the sampled hysteresis map. Once the multiplay model is determined, its inverse can be analytically computed.
Keywords :
elastic constants; hysteresis; nonlinear control systems; hysteresis map; mass-spring-dashpot; multiplay model; nonlocal memory; rate-dependent hysteresis; rate-independent hysteresis; stiffness coefficients; Aerospace engineering; Density functional theory; Differential equations; Feedback; Frequency; Hysteresis; Linear systems; Nonlinear systems; Shape; Springs;
Conference_Titel :
Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-3871-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2009.5400874