A coupled axisymmetric electrothermomechanical solution is presented for modeling the response of layered concentric cylinders exhibiting piezoelectric behavior. The governing equations for the problem are derived using conventional approaches incorporating elektromechanical coupling terms and a unique higher order constitutive model that correctly reflects the strong dependence of the piezoelectric strain coefficients on temperature. This analytical approach suggests that stifness values measured at constant electric displacement conditions are dependent on temperature due to depolarizing field influences. The layered concentric cylinder arrangement is used to model the quasistatic response of piezoelectric linear motor currently proposed for space applications. Analytical/experimental results suggest that the nonlinear dependence of the piezoelectric coefficients with electric field can be extrapolated to lower temperatures using the proposed constitutive relation.
Electrothermoelastic behavior of piezoelectric coupled cylinders
Elektrothermoelastisches Verhalten von piezoelektrisch gekoppelten Zylindern
AIAA Journal ; 34 , 8 ; 1612-1618
1996
7 Seiten, 8 Bilder, 1 Tabelle, 31 Quellen
Article (Journal)
English
piezoelektrischer Stoff , piezoelektrisches Bauelement , Piezoelektrizität , Piezokeramik , Linearmotor (elektrisch) , Raumfahrttechnik , Schichtstoff , Materialforschung , Temperaturabhängigkeit , Tieftemperaturphysik , Tieftemperaturverhalten , Steifigkeit , Matrix (Zahlenschema) , Spannungsdehnungsverhalten , mechanische Spannung , Differenzialgleichung , theoretisches Modell , Zylinder (Körper) , Randbedingung , elektrisches Potenzial , elektrisches Feld , Nichtlinearität
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