A Continuous State-Switching Model Applied To Systems With Multiple Degrees Of Freedom

Abstract

Piezoelectric-based state-switching approaches rely on a switch between stiffness states to achieve a desired outcome. Previous studies have used a discrete switching model that instantaneously alters the stiffness of the system. This modeling approach leads to ambiguity in the dynamics associated with the switching event. Specifically, when switching between the open- and short-circuit state of the piezoelectric element at a point of nonzero strain, the voltage dissipation mechanism is unknown as the theoretical short-circuit has zero electrical impedance. Such a switch can also lead to high frequency transients that dominate the acceleration response. This paper incorporates a small resistance in the shunt circuit that still falls within the short-circuit approximation. Introducing this resistance achieves a continuous transition between stiffness states. An analytical derivation of the modal equations of motion uncovers an impulsive force capable of inducing the high frequency mechanical transients, and increasing the time constant of the circuit reduces the frequency content and overall peak magnitudes.

Publication Date

1-1-2018

Publication Title

AIAA/AHS Adaptive Structures Conference, 2018

Issue

209979

Document Type

Article; Proceedings Paper

Personal Identifier

scopus

DOI Link

https://doi.org/10.2514/6.2018-0338

Socpus ID

85044289228 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/85044289228

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