TY - JOUR
T1 - Mathematical analysis of piezoelectric sandwich torsion transducers based on the d36-effect
AU - Krommer, Michael
AU - Zehetner, Christian
PY - 2015/1/2
Y1 - 2015/1/2
N2 - In the present article, we analyze a d36-effect piezoelectric torsion transducer following the Saint-Venant torsion theory taking the electrical field into account. A representation of the stress function, the electric potential, and the warping function are derived and solved with finite differences. Then, the one-dimensional governing equations at the structural beam level, including the constitutive relations as well as the balance equations for the dynamics of the transducer, are presented. The axial moment and the total charge are computed as functions of the rate of twist and the applied potential difference. As an example, a cantilevered transducer is studied.
AB - In the present article, we analyze a d36-effect piezoelectric torsion transducer following the Saint-Venant torsion theory taking the electrical field into account. A representation of the stress function, the electric potential, and the warping function are derived and solved with finite differences. Then, the one-dimensional governing equations at the structural beam level, including the constitutive relations as well as the balance equations for the dynamics of the transducer, are presented. The axial moment and the total charge are computed as functions of the rate of twist and the applied potential difference. As an example, a cantilevered transducer is studied.
KW - Actuation and sensing
KW - D-effect
KW - Piezoelectric sandwich torsion transducers
KW - Saint-Venant solution
UR - http://www.scopus.com/inward/record.url?scp=84907637346&partnerID=8YFLogxK
U2 - 10.1080/15376494.2014.907947
DO - 10.1080/15376494.2014.907947
M3 - Article
AN - SCOPUS:84907637346
SN - 1537-6494
VL - 22
SP - 19
EP - 32
JO - Mechanics of Advanced Materials and Structures
JF - Mechanics of Advanced Materials and Structures
IS - 1-2
ER -