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RESEARCH PRODUCT

Creep Modeling with Time-Dependent Damping Parameters in Piezoelectric Actuators

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This paper develops a creep model based on the Kelvin-Voigt model with time varying damping parameters. In the piezoelectric actuators, the creep phenomenon is an important issue in precise positioning applications as well as the hysteresis property. It is well-known that the creep effect can be represented by a series connection of a number of Kelvin-Voigt elements as a viscoelastic model. In the motion for the continuous stepwise positioning, however, the creep shape is different for each response. Since the phenomenon can be captured as temporal creep relaxation, time-dependent damping parameters are introduced to improve the reproducibility of the creep for the various motion. On the other hand, hysteresis effect manifests itself during amplitude changes, and especially visible in backward motion. The creep model is connected in parallel with hysteresis spring, thus capturing entire piezoelectric nonlinearity. The proposed model is evaluated by comparing with experimental responses of a piezo-driven stage system.