1997
DOI: 10.1115/1.2801282
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A Lumped Parameter Electromechanical Model for Describing the Nonlinear Behavior of Piezoelectric Actuators

Abstract: A lumped-parameter model of a piezoelectric stack actuator has been developed to describe actuator behavior for purposes of control system analysis and design, and in particular for control applications requiring accurate position tracking performance. In addition to describing the input-output dynamic behavior, the proposed model explains aspects of nonintuitive behavioral phenomena evinced by piezoelectric actuators, such as the input-output rate-independent hysteresis and the change in mechanical stiffness … Show more

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Cited by 213 publications
(156 citation statements)
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“…However, the controller would have little authority over the second and third modes as evident from the low profile of these two modes in the ([2,2]) plot, if this pair was to be used in a SISO setting. This situation is reversed for the second collocated pair ( [3,3]). The reason for this can be explained by examining the first three vibrational mode shapes of a cantilever beam in Fig.…”
Section: System Identificationmentioning
confidence: 92%
“…However, the controller would have little authority over the second and third modes as evident from the low profile of these two modes in the ([2,2]) plot, if this pair was to be used in a SISO setting. This situation is reversed for the second collocated pair ( [3,3]). The reason for this can be explained by examining the first three vibrational mode shapes of a cantilever beam in Fig.…”
Section: System Identificationmentioning
confidence: 92%
“…The phenomenological models are formulated based on a purely mathematical expression that relates the overall inputoutput relationship without considering the underlying physical essence. Several examples of such models are the generalized Maxwell model, 15,16 the Prandtl-Ishlinskii model, 17 and the Preisach model. [18][19][20][21][22][23][24][25][26] However, the symmetric structures of the generalized Maxwell and the Prandtl-Ishlinskii model limit their accuracy.…”
Section: 10mentioning
confidence: 99%
“…Considering the inertia of the mass block and neglecting the inertia of the elastic cantilever beam, the dynamic equation of the mechanical system is expressed as 18,19,26 …”
Section: B Quasi Static Vibration Model (Sdof)mentioning
confidence: 99%