Title :
Modeling of composite piezoelectric structures with the finite volume method
Author :
Bolborici, Valentin ; Dawson, Francis P. ; Pugh, Mary C.
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of Toronto, Toronto, ON, Canada
fDate :
1/1/2012 12:00:00 AM
Abstract :
Piezoelectric devices, such as piezoelectric traveling-wave rotary ultrasonic motors, have composite piezoelectric structures. A composite piezoelectric structure consists of a combination of two or more bonded materials, at least one of which is a piezoelectric transducer. Piezoelectric structures have mainly been numerically modeled using the finite element method. An alternative approach based on the finite volume method offers the following advantages: 1) the ordinary differential equations resulting from the discretization process can be interpreted directly as corresponding circuits; and 2) phenomena occurring at boundaries can be treated exactly. This paper presents a method for implementing the boundary conditions between the bonded materials in composite piezoelectric structures modeled with the finite volume method. The paper concludes with a modeling example of a unimorph structure.
Keywords :
composite materials; differential equations; finite element analysis; finite volume methods; piezoelectric materials; piezoelectric transducers; bonded materials; composite piezoelectric structure; differential equations; discretization process; finite element method; finite volume method; piezoelectric transducer; piezoelectric traveling-wave rotary ultrasonic motor; Computational modeling; Finite element methods; Materials; Mathematical model; Metals; Solid modeling; Stress;
Journal_Title :
Ultrasonics, Ferroelectrics, and Frequency Control, IEEE Transactions on
DOI :
10.1109/TUFFC.2012.2167