Affiliations: [a] State Key Laboratory for Strength and Vibration of
Mechanical Structures, School of Aerospace, Xi'an Jiaotong University, Xi'an,
Shaanxi, China
Correspondence:
[*]
Corresponding author: Feng Jin, State Key Laboratory for
Strength and Vibration of Mechanical Structures, School of Aerospace, Xi'an
Jiaotong University, Xi'an 710049, Shaanxi, China. Tel./Fax: +86 29 8266 7091;
E-mail: [email protected]
Abstract: The thickness-shear modes in a circular cylindrical piezoelectric
transformer considering the effect of an epoxy-bonded layer are analyzed, and
an exact solution is obtained from the equations of the linear theory of
piezoelectricity. Systematic parametric studies are subsequently carried out to
quantify the effects of the epoxy-bonded layer upon the transformer
performance, including its thickness, elastic coefficient and mass density. It
is demonstrated that whilst the thickness and elastic coefficient of the layer
affect significantly the resonance frequencies, transforming ratio, power
density, admittance and efficiency, and its mass density has negligible
influence. On condition that the thickness of the epoxy layer is vanishingly
small so that it degenerates into the solution by the classical shear-lag
model. Upon comparing with the predictions obtained by employing the
traditional shear-lag model, it is found that the interface viscous damping is
absolutely due to the elastic coefficient of the epoxy layer, and the present
structure model is found to be more accurate especially when the thickness of
the epoxy layer can not be neglected.
