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Finite Element Formulation and Analyses

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Book cover Piezoelectric Shells

Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 247))

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Abstract

Conventional elastic structures are “passive” in nature, i.e., they do not possess any inherent self-sensation and action/reaction capabilities. Thus, development of new-generation active structures with integrated sensors, actuators, and control electronics, i.e., so called the structronic system, has received an increasing attention and interest in recent years (Tzou & Anderson, 1992). This chapter presents a finite element development and analysis of integrated distributed piezoelectric sensor/actuator structures—active distributed parameter systems (DPS’s) or structronic systems.

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Correspondence to Hornsen (HS) Tzou .

Appendix

Appendix

Uncontrolled and control responses of the steel/PZT laminated beam were calculated by the finite difference method (Obal, 1986) and time-history responses are plotted in Figs. 13.20, 13.21 and 13.22.

Fig. 13.20
figure 20

Free vibration of a steel/PZT laminated plate

Fig. 13.21
figure 21

Controlled response of a steel/PZT beam (Constant amplitude)

Fig. 13.22
figure 22

Controlled response of a steel/PZT beam (Constant gain)

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Tzou, H. (2019). Finite Element Formulation and Analyses. In: Piezoelectric Shells. Solid Mechanics and Its Applications, vol 247. Springer, Dordrecht. https://doi.org/10.1007/978-94-024-1258-1_13

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  • DOI: https://doi.org/10.1007/978-94-024-1258-1_13

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-024-1256-7

  • Online ISBN: 978-94-024-1258-1

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